Rational and Irrational numbers can be depicted as the number that can be communicated as p/q are reasonable and which can't be communicated are called Unreasonable Numbers.
Rational Numbers are characterized as a number that can be addressed as p/q where q isn't equivalent to zero.
We can likewise, say that the part where the denominator and the numerator are whole numbers and the denominator isn't equivalent to zero is called Reasonable Numbers.
For Instance: 2/3, 3/9, addresses Rational numbers.
Irrational Numbers are characterized as genuine numbers that can't be communicated as a proportion of whole numbers.
For Instance: [tex]\sqrt{2}[/tex], [tex]\sqrt{3}[/tex] addresses an Irrational number.
Learn more about rational and irrational:
https://brainly.com/question/28537216
#SPJ4
What does log2 mean on a calculator?
The log base 2 calculator quickly computes the value of the logarithm function with base two, i.e., log₂(x) for arbitrary (positive) x
What do we mean by an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules.
To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
To find which expression is equivalent to log₅32:
Law of logarithms:
The law of logarithms states that: log(a) b = log(10)b/log(10)a
Given the log function, which is written as log₅32
a = 5
b = 32
Substitute as: log₅32 = log32/log5
Therefore, the given expression log₅32 is equivalent to the expression log32/log5.
learn more about logrithms here:
https://brainly.com/question/28596588
#SPJ4
a group of classmates surveyed how other students travel to school the results of the survey are shown in the table at right make a circle graph showing the results of the survey using percents, bus- 90, ride bike- 30, ride in car- 75, walk- 45.
So, on solving the provided question, we can say that equation of diagonal WY is 13.03 units
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
by d=√((x2 – x1)² + (y2 – y1)²).
Coordinates of W = (-4,5) and Y = (3,-6)
= √((3 – (-4))² + (-6 – 5)²)
= √170
= 13.03 units
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
True or false:
If f(x) is a cubic function
and f(1) = 0, f(3) = 0 and
ƒ(4) = 0,
then f(5)=8
Answer:
FALSE
Step-by-step explanation:
It is not necessarily true that ƒ(5)=8 just because ƒ(1)=0, ƒ(3)=0, and ƒ(4)=0. In fact, it is possible for ƒ(x) to be a cubic function and for ƒ(5) to equal any number, depending on the specific form of the function and the values of its coefficients.
is two displacement vectors add to give a total displace,ment of 0 what do you know about the two diplacemenst
The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.
If the total displacement of two vectors is 0, it means that the final position of an object after being displaced by the two vectors is the same as its initial position. This can happen in a few ways:
The two vectors are equal in magnitude and opposite in direction. This means that they cancel each other out, resulting in a net displacement of 0.
The two vectors are parallel but pointing in opposite directions. This means that the object is displaced in one direction and then back again, resulting in a net displacement of 0.
The two vectors are perpendicular and the magnitude of each vector is the same. This means that the object is displaced in one direction and then back again in the perpendicular direction, resulting in a net displacement of 0.
Therefore, In all cases, it can be inferred that the two vectors are in some way related to each other in terms of direction and magnitude.
To learn more about vectors,
Visit; brainly.com/question/29740341
#SPJ4
Find the percent of change. Round to the nearest tenth, if necessary.
During the winter, the grill was marked at $85. In June, the price was changed to $110. 50.
PLEASE THIS IS URGENT
During the winter, the grill was marked at $85. In June, the price was changed to $110. 50. So, 23.08% is the change in percentage.
What is percentage?When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.
Comparing two amounts while re basing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.
Given that,
the grill was marked at $85
the price was changed to $110. 50.
Now, percentage change:
= [{(110. 50 - 85)/110.50} × 100]
= (0.2308 × 100)
= 23.08%
To know more about percentage refer to:
brainly.com/question/24877689
#SPJ4
Colin invests £3300 into his bank account. He receives 3% per year compound interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate
Answer:
Below
Step-by-step explanation:
3% = .03 in decimal 4 (yearly) periods
The effective interest and deposit amount after 3 years compounded yearly will be
3300 (1 +.03)^4 = £ 3714.18
What is the coefficient of x² in 3x² 5 )( 4 4x² )? *?
The coefficient of the variable x² in the expression 3x² is 3 and 4x^2 is 4
The expression is 3x²
To find : The coefficient of the variable x² in the expression
Coefficient is the number that is beside the variable in the equation.
The coefficient of x in 3x² is 3
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
As we can see that the term that is in multiplication with x² is 3.
Hence, the coefficient of x² in the equation 3x² is 3.
To learn more about the coefficient click here:
brainly.com/question/28975079
#SPJ4
Please help, it's much appreciated! <3333 It's midterms studying. 20 points!
A manufacturer makes trusses, or triangular supports, for the roofs of houses. Each truss is the shape of an isosceles triangle in which the sides are congruent. The length of the base is 4/3 the length of the congruent sides.
The perimeter of each truss is 60ft. Find each side length
Answer: The length of each side of the triangle is;
Equal sides, x = 21.02 = PQ = PR
QR = 28.03
Step-by-step explanation: The trusses made by the manufacturer have the shape of an isoscellestriangle and as such two congruent sides PQ ≅ PR) are equal and QR is the third side whose length is 4/3 of the congruent sides.
The perimeter of each truss is 70ft.
Let the length of each congruent side be x ft.
Therefore,
Perimeter = x + x + (4/3)x
Perimeter, p = 70 = 3.33x
x = 70/3.33
x = 21.02
Therefore, Length of QR is; QR = (4/3) x
QR = (4/3) × 21.02
QR = 28.03
Point lies on the diagonal of square with . Let and be the circumcenters of triangles and respectively. Given that and , then , where and are positive integers. Find .
Point P lies on the diagonal AC of square ABCD with AP > CP. Let [tex]$O_1$[/tex] and [tex]$O_2$[/tex] be the circumcenters of [tex]$\triangle \mathrm{ABP}$[/tex] and [tex]$\triangle \mathrm{CDP}$[/tex] respectively. Given that AB = 12 and [tex]$\angle \mathrm{O}_1 \mathrm{PO}_2=120^{\circ}$[/tex], then [tex]$\mathrm{AP}=\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}$[/tex],
where a and b are positive integers.
The value of a + b is 96.
Let mid-point of DC be E and mid-point of AB be F.
Since [tex]$\mathrm{O}_1$[/tex] and [tex]$\mathrm{O}_2$[/tex] are circumcenters, therefore both lie on the perpendicular bisectors of DC and AB passing through E and F.
Now, [tex]$\mathrm{O}_1 \mathrm{P}=\mathrm{O}_1 \mathrm{~B}$[/tex] and [tex]$\mathrm{O}_2 \mathrm{P}=\mathrm{O}_2 \mathrm{D}$[/tex]
Also [tex]$\angle \mathrm{CAB}=\angle \mathrm{ACD}=45^{\circ}$[/tex]
Therefore [tex]\angle \mathrm{BO}_1 \mathrm{P}=2 \times 45^{\circ}=90^{\circ}=\angle \mathrm{DO}_2 \mathrm{P}$[/tex]
Angle subtended by an arc of a circle at its center = 2 × the angle subtended at its circumference
Therefore [tex]\angle \mathrm{O}_1 \mathrm{~PB}$[/tex] and [tex]$\angle \mathrm{O}_2 \mathrm{PD}$[/tex] are isosceles right triangles.
Using the above information and symmetry,
[tex]$\angle \mathrm{DPB}=120^{\circ}$[/tex]
Also, [tex]$\triangle[/tex]ABP is congruent to [tex]$\triangle[/tex]ADP (SAS)
and [tex]$\triangle[/tex]CPB is congruent to [tex]$\triangle[/tex]CPD (SAS)
Therefore [tex]\angle \mathrm{APB}=\angle \mathrm{APD}=60^{\circ}[/tex]
And [tex]\angle \mathrm{CPB}=\angle \mathrm{CPD}=120^{\circ}[/tex]
Now, [tex]$\angle \mathrm{ABP}=(180-60-45)^{\circ}=75^{\circ}$[/tex]
[tex]\Rightarrow \angle \mathrm{O}_1 \mathrm{BF}=30^{\circ}[/tex]
And [tex]$\angle \mathrm{PDC}=(180-120-45)^{\circ}=15^{\circ}$[/tex]
[tex]\Rightarrow \angle \mathrm{O}_2 \mathrm{DE}=30^{\circ}[/tex]
Therefore [tex]\triangle \mathrm{O}_1 \mathrm{BF}$[/tex] and [tex]$\triangle \mathrm{O}_2 \mathrm{DE}$[/tex] are right angled triangles.
BF = DE = [tex]\frac{12}{2}[/tex] = 6
[tex]\Rightarrow O_1 B=O_2 D=4 \sqrt{3}[/tex]
And PB = PD = [tex]\frac{4 \sqrt{3}}{\cos 45^{\circ}}=4 \sqrt{6}[/tex]
Now, Let x = AP
Using law of cosine on [tex]$\triangle[/tex]ABP, we have
[tex]& 96=x^2+144-24 x \times \frac{1}{\sqrt{2}} \\[/tex]
[tex]& \Rightarrow x^2-12 \sqrt{2} x+48=0 \\[/tex]
[tex]& \Rightarrow x=\sqrt{72} \pm \sqrt{24}[/tex]
Taking the positive root, AP = [tex]\sqrt{72}+\sqrt{24}$[/tex]
Therefore a + b = 72 + 24 = 96
For more questions on square
https://brainly.com/question/21327969
#SPJ4
Point P lies on the diagonal AC of square ABCD with AP > CP. Let [tex]$O_1$[/tex] and [tex]$O_2$[/tex] be the circumcenters of [tex]$\triangle \mathrm{ABP}$[/tex] and [tex]$\triangle \mathrm{CDP}$[/tex] respectively. Given that AB = 12 and [tex]$\angle \mathrm{O}_1 \mathrm{PO}_2=120^{\circ}$[/tex], then [tex]$\mathrm{AP}=\sqrt{\mathrm{a}}+\sqrt{\mathrm{b}}$[/tex], where a and b are positive integers. Find a + b. (correct answer +5, wrong answer 0 )
y^2=1/5(x-4), (24,2)
quickkkkk plss help me
Wastewater is filling barrels at the rate of 13 quarts per hour. The recycling facility picks up 96 full barrels on each trip, and each barrel holds 30 quarts of wastewater. How many days are between each pickup
If the recycling facility picks up 96 full barrels on each trip then there is 9 days gap between each pickup.
What is the recycling facility picks up?Recycling is the practice of reusing materials in existing products to create new ones. This can be accomplished in expected ways—such as using recycled paper as packaging material—or unexpected ways—such as using recycled glass to make artificial turf. Recycling helps to conserve limited resources, and—its proponents argue—it has other environmental benefits as well.
Since the recycling facility picks up 96 barrels on each trip
and each barrel contains 30 quarts of effluent.
Thus, the total volume of wastewater is 30 x 96, or 2880 quarts.
Each barrel is filled at a rate of 13 quarts per hour.
So 2880 quarts filled in hours.
We can now change 221.54 hours to days.
= 9.23 days
There are so 9 days in between pickups.
To learn more about quarts visit:
https://brainly.com/question/13798723
#SPJ4
Condition A a recangle with four right angles condition B: a square with one side measuring 5 inches conddion C: a rhombus with one angle measuring 43 condition D: a parallelogram with one angle measuring 32 condition E a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches condition F: a rectangle with adjacent sides measuring 4 inches and 3 inches One Quadrilateral Many Quadrilaterals
The conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.
What is a quadrilateral?
A quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. Quadrilaterals always have a total internal angle of 360 degrees.
Given,
condition A : a rectangle with four right angles
condition B : a square with one side measuring 5 inches
condition C : a rhombus with one angle measuring 43°
condition D : a parallelogram with one angle measuring 32°
condition E : a parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches
condition F : a rectangle with adjacent sides measuring 4 inches and 3 inches.
Now we are asked to match the above conditions to one quadrilateral and many quadrilaterals groups according to the number of quadrilaterals that can be constructed using the given condition.
Condition A : Many Quadrilaterals
All the rectangles have four right angles in them. So many rectangles of different lengths can be formed.
Condition B : One Quadrilateral
The defining factor that make a square unique is the length of its side. All the sides of the square also has equal length. So only one square of 5 inches side can be made.
Condition C: Many Quadrilaterals
For a rhombus the opposite angles are equal and the sum of angles should be 360°. Even though the angles are fixed, this rhombus can have any side length.
Condition D: Many Quadrilaterals
As discussed for rhombus, even though the angles of the parallelogram is fixed, there can be many sides lengths.
Condition E: One Quadrilateral
In this case, side length as well as the angle of the parallelogram is given. So there can be only one parallelogram.
Condition F:One Quadrilateral
The side lengths are what make a rectangle one of its kind. So one one rectangle can be formed with lengths 4 inches and 3 inches.
Therefore conditions (b),(e) and (f) comes under one quadrilateral and conditions (a),(c) and (d) comes under many quadrilaterals.
To learn more about quadrilaterals, follow the link.
https://brainly.com/question/27991573
#SPJ4
GIVING BRAINLIEST! HELP
Answer:
Its first option. bcz its doubled... right..
How to tell if a number is rational or irrational calculator?
We can tell if a number is rational or irrational by Venn Diagram
Both irrational and rational numbers are exact, yet they have different properties. Any number that can be expressed as P/Q, where P and Q are both integers and Q is more than zero, is considered to be reasonable. Simple fractions, however, cannot be used to express an irrational number. An illustration of a rational number is 2⅔ 3, while an irrational number is √2.
All integers, fractions, and repeating decimals are included in the concept of a rational number. We may represent every rational number as p/q, where p and q are integer numbers.
Learn more about the irrational number here:
brainly.com/question/17450097
#SPJ4
Jessica works 7 days a week at an internship in Paris, France. She makes 70 Euros per day. When she comes back to America she needs to know how many dollars per week she was making. What is the correct amount? ( 1 Euro = 1.17 dollars)
A. $573.30/week
B. $335.65/week
C. $479.50/week
D. $357.66/week
Answer: D
Step-by-step explanation:
i got this question before
Eve has been keeping an eye on an emerald ring she likes. Its original price was $1,730. After
being marked down for a clearance sale, it is now $1,038. By what percent has the price of the
ring gone down?
40 percent price of the ring gone down due to a clearance sale
What is percent value?
In mathematics, percent implies a relative value of any quantity. Generally, percent value expresses the hundredth parts of any given quantity. Sometimes, operator % is used to indicate a percent value.
From a given percent value we can determine the real value and percent value is calculated from the original data.
What is the percent value of the ring that gone down?
given, the original price of the emerald ring = $1730
after a clearance sale, the price of ring became = $1038
difference in price = $(1730-1038) = $ 692
hence, the price of the ring that gone down = $692
now, percent value of the price gone down = $692/$1730 × 100
= 40%
hence, forty percent of the ring price gone down.
To know more about percent value visit:
https://brainly.com/question/8371652
#SPJ1
David owns a food truck that sells tacos and burritos. He only has enough ingredients to make 87 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
GIVING BRAINLIEST AND MANY POINTS FOR ANSWER I BEG PLEASE PLEASE
1. Use the Distributive Property to simplify the expression.
6(5 - q)
Group of answer choices
11 - 6q
11 - q
30 - 6q
1 - q
3.
Use the Distributive Property to simplify the expression.
(d + 2)(-7)
Group of answer choices
-7d - 14 OR -7d + -14
7d - 2 OR 7d + -2
d - 14 OR d + -14
d - 5 OR d + -5
4. Use the Distributive Property to simplify the expression.
-4(x - 6y)
Group of answer choices
4x + 24y
-4x + 24y
4x - 1.5y
-4x - 10y
5. Use the Distributive Property to simplify each expression.
a) -3(5 + b)
=
[ Select ]
+
[ Select ]
b
b) 3(-4x + 8)
=
[ Select ]
x +
[ Select ]
6. The table shows different prices of items at a movie theater.
Item Cost ($)
box of candy 2.25
drink 3.25
popcorn 4.50
ticket 7.50
Suppose Mina and her two friends want to go to the movies.
Which expression could be used to find the total cost if each of them buy one of each item?
[ Select ]
What is the total cost for all three people?
$
[ Select ]
Answer:
1. 30 − 6q
3. −7d − 14 OR -7d + -14
4. = −4x + 24y
5. a) −3b − 15 b)−12x + 24
6. For the first answer to this question: 3x + 3y OR 3x = t
For the second answer to this question: 3x = t and it costs 15 dollars in total with x = 5.
Bruce has been offered a position selling bungee seat belts to sports car manufacturers. He was given a choice of receiving a monthly salary of $500 plus a bonus of 25% of his monthly sales or a $2,000 monthly salary with a 5% bonus on sales. How much would Bruce have to sell to make the same amount of money from each?
Answer:
$7500
Step-by-step explanation:
Let x = amount of monthly sales.
Choice A:
"monthly salary of $500 plus a bonus of 25% of his monthly sales"
monthly salary = 0.25x + 500
Choice B:
"$2,000 monthly salary with a 5% bonus on sales"
monthly salary = 0.05x + 2000
We set the total monthly salaries equal and solve for x.
0.25x + 500 = 0.05x + 2000
0.2x = 1500
x = 1500/0.2
x = 7500
Answer: $7500
I don’t if is good and the last I don’t know how to do it
From the given data, the first and third graph are correct.
1. For the first graph,
the two equation are -
y = -2x - 4
-4x + y = 2
Let us check the common points for the given graph,
(-1,-2)
y = -2x - 4 - 4x + y = 2
-2 = -2(-1) - 4 -4(-1) + (-2) = 2
-2 = -2 2 = 2
Hence it is correct.
2. For the second graph,
y = -3/2x - 2
y = -1/4x + 3
Common points are - (4,4)
y = -3/2x - 2 y = -1/4x + 3
4 ≠ -8 4 ≠ 2
Hence it is not correct.
3. For the third graph,
y = -5
y = 3x + 1
Common points are - (-2,-5)
y = 3x + 1
-5 = -5
Hence it is correct.
The correct graph for 2, graph is below,
To learn more about graphs from given link
https://brainly.com/question/26865
#SPJ1
3/4 of the tudent paed an Examination. 28 tudent appeared for the exam. How many tudent failed the examination?
7 students failed the examination out of 28 students who appeared for the examination.
What is the Proportion?
A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls)
When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.
For instance, 5/10 equals 1/2.
If 3/4 of the students passed the exam, this means that 1 - 3/4 = 1/4 of the students failed the exam.
We can use this information to find the number of students who failed the exam by multiplying the total number of students who appeared for the exam by the proportion of students who failed:
Number of students who failed = Total number of students * Proportion of students who failed
Number of students who failed = 28 students * 1/4 = 28 students * 0.25 = 7 students
Hence, 7 students failed the examination out of 28 students who appeared for the examination.
To learn more about the Proportion visit,
https://brainly.com/question/1496357
#SPJ4
For problems 1 - 6, determine whether the relationships represented are A. Exponential., B. Linear., or C. Neither.
Step-by-step explanation:
a linear function is following
y = ax + b
that means the ratio of the y and x differences between the data points is constant (a).
an exponential function is in the form y = a^x. or some constant variations of it.
the base is constant (a), and the exponent of the constant is the variable (x).
1.
clearly exponential.
this is the typical graph of an exponential function.
it looks like y = 2^x, as e.g. f(4) = 2⁴ = 16, and the graph seems to be at least very close to this.
2.
exponential.
y = 3^(x - 0.5)
3¹ = 3
3² = 9
3³ = 27
3⁵ = 243
this is just y = 3^x shifted to the right by 0.5 units.
3.
linear.
the difference ratio between the data points is constant :
x is the row number (1, 2, 3, 4, 5, ...).
y is the number of seats per row (14, 16, 18, 20, 22, ...).
so,
(16-14)/(2-1) = 2/1 = 2
(18-16)/(3-2) = 2/1 = 2
...
(22-14)/(5-1) = 8/4 = 2
always constant (2).
4.
neither.
it is y = x²
when you compare 4. and 1. you see the clear difference between the 2 graphs.
5.
exponential.
remember, y = a^x.
well, here, a = 1/2. but that is still constant and doesnot change the principle.
the factor 10 stretches the graph a bit up (in fact, this 10 is the starting number of an exponential growth). but the function in its core is still exponential.
6.
linear.
when written that way, it just means that x = n, and for every increase of n by 1, y (f(n)) increases by +4.
so, the difference ratio stays constant (4/1 = 4).
Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
what is solution ?a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation. The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.
given
y = 3x + 1
y = 3x + 1
The two equations are independent and consistent since they cross at a single precise location.
y = 3x + 1
y = x + 3
The two equations are independent and consistent since they cross at a single precise location.
y = x + 3
These two equations are incompatible because they do not intersect.
y = x + 3
To identify which line it is, rearrange the first equation into slope-intercept form.
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
To know more about solution visit :-
https://brainly.com/question/30109489
#SPJ1
How do you solve a 45 45 90 and 30 60 90 triangle?
All 45-45-90-degree triangles have sides that are in a unique ratio. The two legs are exactly the same length.
This triangle is important because any time we're given one side of a 45-er triangle, we can figure out the other two sides.
If one leg is given, the hypotenuse is calculated by multiplying this length by the square root of 2.The hypotenuse is given, and the leg is calculated by dividing the hypotenuse by the square root of 2.The 30-60-90 degree triangle is half of an equilateral triangle, cut straight down the middle along its altitude. This triangle has angles of 30°, 60°, and 90°.
The shortest leg is over from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg,If the hypotenuse is given, the long leg is calculated by dividing the hypotenuse by 2.If the long leg is given, the hypotenuse is calculated by dividing this side by the square root of 3.Read more about 30-60-90 degree triangle:
https://brainly.com/question/16805823
#SPJ4
An experiment was conducted by a group of students. There were 8 times recorded. The distance traveled was 30 meters. The times were 7.48, 7.45, 7.90, 7.37, 7.25, 7.40, 7.55, and 7.60. What was the average time
The average time is 7.5. The average is calculated by dividing the total number of values in a given set by the sum of all the values in that set.
How to calculate average ?An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.
If every number in a list is the same number, then that number also serves as the average for the list. Every one of the diverse varieties of average shares this characteristic.
An average of the values in a sample of data can be used to define a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.
Average = Sum / Count
Sum = 7.48 + 7.45 + 7.90 + 7.37 + 7.25 + 7.40 + 7.55 + 7.60
= 60 / 8
= 7.5
To learn more about average refer :
https://brainly.com/question/20118982
#SPJ4
Please awnswer the question below
Answer:
- ANTIFRAGILE -
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
가시밭길 위로 riding, you made me boost up (ah-ah-ah-ah)
거짓으로 가득 찬 party 가렵지도 않아
내 뒤에 말들이 많아, 나도 첨 듣는 내 rival
모두 기도해 내 falling 그 손 위로 I'ma jump in
Yes, gimme that
걸어봐 위엄 like a lion
눈빛엔 거대한 desire (nan-na-na-eh)
더 부어 gasoline on fire
불길 속에 다시 날아 rising (nan-na-na-eh)
잊지 마, 내가 두고 온 toe shoes
무슨 말이 더 필요해?
무시 마, 내가 걸어온 커리어
I go to ride 'til I die, die
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
Lovey, lovey, lovey
Dovey, dovey, dovey
멋대로 정하네 나란 애에 대해
I don't know what to say, I can't feel it
뜨거운 관심은 환영, 귀여운 질투는 go ahead
줄 달린 인형은 no thanks 내 미랠 쓸 나의 노래
Yeah, gimme that
걸어봐 위엄 like a lion
눈빛엔 거대한 desire (nan-na-na-eh)
더 부어 gasoline on fire
불길 속에 다시 날아 rising (nan-na-na-eh)
잊지 마, 내가 두고 온 toe shoes
무슨 말이 더 필요해?
무시 마, 내가 걸어온 커리어
I go to ride 'til I die, die
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
We can break it baby
Rock it, twist it, lock it baby
All I know is you can't chain me
'Cause I'm gonna break out
Gonna, gonna break out, out
We can break it baby
Rock it, twist it, lock it baby
All I know is you can't chain me
'Cause I'm gonna break out
Gonna, gonna break out, out (whoa-uh-oh-oh!)
더 높이 가줄게
내가 바랐던 세계 젤 위에 (ah-ah)
떨어져도 돼
I'm anti-fragile, anti-fragile (ah-ah)
난 지금 on my way
갖다버려 줘 너의 fairy tale (ah-ah)
Now you know my name
I'm anti-fragile, anti-fragile
Anti-ti-ti-ti fragile, fragile
Anti-ti-ti-ti fragile
Anti-ti-ti-ti fragile, fragile
(Anti-fragile)
(Anti-fragile)
- song by Le Sserafim
- song title : anti fragile
- stan Le Ssefarim for a better life <3
xoxo
Step-by-step explanation:
An object is moving at a speed of 3 yards per month. Express this speed in centimeters per day.
The speed of the object is 9.14 cm per day.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, An object is moving at a speed of 3 yards per month. we are asked to express this speed in centimeters per day.
For this, we will have to convert the units,
1 yard = 91.44 cm
3 yards = 91.44 × 3 = 274.32 cm
Therefore, we can say the object is moving 274.32 cm per month
Now,
If it moves 274.32 cm in one month,
Therefore, in day, it will move = 274.32 / 30 [1 month = 30 days]
= 9.144
Hence, the speed of the object is 9.14 cm per day.
For more references on unit conversion, click;
https://brainly.com/question/19420601
#SPJ1
An arithmetic sequence begins with 56, 59, 62, 65, 68, ...
Which option below represents the formula for the sequence?
O f(n) = 56 + 3(n − 1)
-
Of(n) = 53+ 3(n-1)
O f(n) = 56 + 3(n)
Of(n) = 53 + 3(n + 1)
f(n) = 56 + 3(n − 1) is the correct option represents the formula for the sequence.
What is an arithmetic sequence?In arithmetic sequences, each term is made larger by the addition or removal of a constant called k. Unlike a geometric sequence, where each term increases by being multiplied by or divided by a fixed constant k,
If there is a consistent difference between the words in a sequence of numbers, the sequence is referred to as an arithmetic progression. Think about the mathematical progression where the numbers 5, 7, 9, 11, 13, and so on all have a common difference of 2.
An is defined as a1 + d(n - 1), where d is the average difference between terms in the series, and a1 is the first term.
Given data :
This is the formula of an arithmetic sequence.
f(n) = a1 + d(n - 1)
An arithmetic sequence begins with 56, 59, 62, 65, 68,
= = 56.
d = 59 - 56 = 3
so the formula is f(n) = 56 + 3(n − 1)
Learn more about arithmetic sequence refer to :
brainly.com/question/28354530
#SPJ1
How do you write a compound statement in symbolic form?
A compound statement is a statement that combines two or more simpler statements using logical connectives such as "and", "or", "not", "if-then", "if and only if", etc. To write a compound statement in symbolic form, you can use logical symbols to represent the different parts of the statement.
"∧" (and) is used to connect two statements, meaning that both statements must be true for the compound statement to be true. For example, "P ∧ Q" is read as "P and Q" and represents the statement "P and Q are true."
"∨" (or) is used to connect two statements, meaning that at least one of the statements must be true for the compound statement to be true. For example, "P ∨ Q" is read as "P or Q" and represents the statement "P or Q is true."
"¬" (not) is used to negate a statement, meaning that the statement is false if the original statement is true and vice versa. For example, "¬P" is read as "not P" and represents the statement "P is false."
"→" (if-then) is used to connect two statements, meaning that if the first statement is true, then the second statement must also be true. For example, "P → Q" is read as "if P then Q" and represents the statement "if P is true, then Q is also true."
"↔" (if and only if) is used to connect two statements, meaning that the two statements are either both true or both false. For example, "P ↔ Q" is read as "P if and only if Q" and represents the statement "P is true if and only if Q is true."
For example, the compound statement "If it is raining, then I will bring an umbrella, but if it's not raining, I will wear sunglasses" can be written in symbolic form as:
(R → U) ∧ (¬R → S)
Where "R" represents the statement "it is raining", "U" represents the statement "I will bring an umbrella" and "S" represents the statement "I will wear sunglasses".
To know more on compound statement
https://brainly.com/question/17242948
#SPJ4