Please explain to me how to do this question with right answer
Answer:
[tex]\boxed {\boxed {\sf b=8}}[/tex]
Step-by-step explanation:
The Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 6 and b are the legs, because they form the right angle.
10 is the hypotenuse, because it is opposite the right angle. Plus, it's the longest side.
[tex]a=6 \\b=b\\c=10[/tex]
Substitute the values into the Theorem.
[tex]6^2+b^2=10^2[/tex]
Evaluate the exponents.
6²= 6*6= 36[tex]36+b^2=10^2[/tex]
10²= 10*10= 100[tex]36+b^2=100[/tex]
Subtract 36 from both sides of the equation to isolate the variable (b).
[tex]36-36+b^2=100-36[/tex]
[tex]b^2=100-36[/tex]
[tex]b^2=64[/tex]
b is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.
[tex]\sqrt{b^2}=\sqrt{64[/tex]
[tex]b=\sqrt{64}[/tex]
[tex]b=8[/tex]
In this triangle, b (the other leg) is equal to 8
What is the value of p in the proportion below?
StartFraction 20 over 6 EndFraction = StartFraction p over 12 EndFraction
Answer:
20/6=p/12
cross multiply
20*12=6p
240=6p
divide both sides by 6
p=40
Answer:
C - 40
Step-by-step explanation:
Which is the same as 3 feet?
Answer: 36 inches
Step-by-step explanation:
hope this helps :)
Answer:
i wanna say something mean, buuuuut... water bottle
Step-by-step explanation:
-5b = -20 b= need help with homwork
Answer:
b = 4
Step-by-step explanation:
you must divide both sides of the equation by -5 to get b by itself. division cancels out multiplication but also keeps both sides equal
b = -20/-5
b = 4
Please help and explain how you got the answer. Im giving out brainliest. || Q2
Answer:
B
Step-by-step explanation:
Convert 3/5 and each fraction so that that they have the same denominator by finding the (lowest) common multiple. If they have the same numerator, then the fractions are equivalent.
Whatever you multiply the denominator by, you need to multiply the numerator by.
A) The lowest multiple of 5 and 15 is 15.
5 * 3 = 15
3 * 3 = 9
3/5 = 9/15
B) The lowest multiple of 5 and 16 is 80.
5 * 16 = 80
3 * 16 = 48
3/5 = 48/80
16 * 5 = 80
12 * 5 = 60
C) The lowest multiple of 5 and 50 is 50.
5 * 10 = 50
3 * 10 = 30
3/5 = 30/50
D) The lowest multiple of 5 and 60 is 60.
5 * 12 = 60
3 * 12 = 36
3/5 = 36/60
I WILL GIVE BRAINLIST!
Showthat (a+bi)2 = (a+b)(a−b) + 2abi
Answer:
see below
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i² (This is because (a + b)² = a² + 2ab + b²; in this case, a = a and b = bi)
= a² + 2abi + b² · (-1) (This is because i² = -1)
= a² - b² + 2abi (Simplify, rearrange)
= (a + b)(a - b) + 2abi (This is because a² - b² factors to (a + b)(a - b))
Hope this helps!
Answer:
Step-by-step explanation:
(a + bi)²
= a² + 2abi + b²i²
a² + 2abi + b² · (-1)
a² - b² + 2abi
(a + b)(a - b) + 2abi
What is log4 (5x+2) = 5x in exponential form?
Answer:
4^(5x) = 5x + 2
Step-by-step explanation:
Applying the definition of logarithm we can say that if logb(x) = y, then b^y = x;
Accordingly your equation log4 (5x+2) = 5x in exponential form should be 4^(5x) = 5x + 2
A hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour.At this rate, how many gallons per hour does the hybrid SUV use?
Answer:
a
Step-by-step explanation:
The hybrid SUV uses 32/55 gallons per hour which is the correct answer would be an option (A).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
The operator that perform the arithmetic operations are called arithmetic operators.
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Given that a hybrid SUV gets 32miles per gallon on the highway driving at a constant 55 miles per hour
To determine miles per gallon of gas,
We take the 32miles the hybrid SUV travels and divide it by the highway driving at a constant 55 miles per hour
⇒ 32/55
Hence, the hybrid SUV uses 32/55 gallons per hour.
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Work out (3.42 x 10-7) = (7.5 x 10-6)
Give your answer in standard form.
Answer:
0.24510
Step-by-step explanation:
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 12 lb
Josh drove 380 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 418 miles?
Answer: 15.4
Step-by-step explanation: First find the unit rate: 14/380=0.03684210526
Then multiply by the # of miles Josh needs to drive(Which is 418): 0.03684210526 times 418= 15.4
A price was first decreased by 12%, they it was decreased again by an additional 5%. What is the percent of the total de. ease?
9514 1404 393
Answer:
16.4%
Step-by-step explanation:
Assuming the 5% was taken off of the already-discounted price, then the original price was multiplied by ...
(1 -12%)(1 -5%) = 0.88×0.95 = 0.836 = 1 -16.4%
The total decrease was 16.4%.
The probability distribution for a
random variable x is given in the table.
Answer: 60%
Step-by-step explanation:
the probability is -2 is less than or equal to x and x is less than or equal to 2 so you would include .33, .16, and .10 in your problem
.33 + .16 + .11 = .6
.6 x 100 = 60
(if your using acellus don’t forget the % sign or it’ll mark it wrong!)
Evaluate: 12y+9d if y = 5 and d = 7
Answer:
123
Step-by-step explanation:
Substitute values of y and d into equation.
12y+9d = 12(5) + 9(7)
Evaluate.
12(5) + 9(7) = 60 + 63
Simplify.
60 + 63 = 123
Answer:
123
Step-by-step explanation:
12y + 9d
12(5) + 9(7)
60 + 63
123
help pleasseeeeeeeeee 6. If Ai charges $3.25 per serving of ice cream, how much will she make if she sells it to 12
½ people (children under 5 get half scoops for half the amount, which is why there is a
half person).
Answer:
40.62
Step-by-step explanation:
that's the answer I got
What is the approximate circumference of the circle shown below?
A. 37.8 cm
14.8 cm
B. 46.5 cm
C. 23.2 cm
D. 92.9 cm
SUBMIT
The approximate circumference of the circle shown in the image is given as follows:
B. 46.5.
How to obtain the circumference of a circle?The circumference of a circle of diameter d is given by the multiplication of π and the diameter, as follows:
C = πd.
π has the numeric value of 3.14, hence the equation is approximated as follows:
C = 3.14d.
The diameter of a circle is the distance between two points on the circumference of the circle that pass through the center, hence for this problem it is given as follows:
d = 14.8 cm.
Then the circumference of the circle is of:
C = 3.14 x 14.8
C = 46.5 cm.
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Answer: 46.5 cm
Just took the test and got it right!
Bobby's dad is 41 and is 6 more than 5 times Bobby's age. Bobby's little sister Emma is one less than half his age. How old are Bobby and his little sister Emma?
What is the initial value of the exponential function shown on the graph?
0
1
2
4
Answer:
4
Step-by-step explanation:
Answer:
It's 4
Step-by-step explanation:
Edge 2020
3/4 of girls in sss1 play basketball and 4/7 play volleyball. Every girl plays at least one of these games. if 27 play both games how many girls are in the class
Answer:
84
Step-by-step explanation:
1/4 of class don't play basketball but do play volleyball
so 9/28 of class play both since 4/7 - 1/4 = 9/28
9/28 of class = 27
1/28 of class = 3
class = 3*28
There are 84 girls in the class.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Girls who plays basketball = (3/4)x
Girls who plays volleyball = (4/7)x
Girls who plays both games = 27
Now, Let us consider total girls in the class = x
So we can write it as mathematical equation as;
⇒ (3/4)x +(4/7)x - 27 = x
By taking L.C.M. -
⇒ (21x+16x)/28 - (27) = x
⇒ 37x/28 = x + 27
⇒ 37x = 28x + (27×28)
⇒ 9x = 27×28
⇒ x = (27×28)/9
⇒ x = 3×28
⇒ x = 84
So, There are total 84 girls in the class.
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grab the image of the rectangle DEFG reflection across the line x= 3
Answers:
D ' at (9, -9)E ' at (5, -9)F ' at (5, -2)G ' at (9, -2)Refer to the diagram below
========================================
Explanation:
For points D,E,F,G we will follow these steps
Shift everything 3 units to the left so that the vertical line x = 3 will move on top of the y axis (which is the vertical line x = 0).Reflect across the y axis using the rule [tex](x,y) \to (-x,y)[/tex]. Here we have the x coordinate flip in sign from positive to negative, or vice versa. The y coordinate stays the same.Shift everything 3 units to the right so we effectively undo the first step. This places the points in the proper final position.Let's go through an example:
Point D is located at (-3, -9). Apply the three steps mentioned above.
Shift point D three units to the left to arrive at (-6, -9)Reflect over the y axis to go from (-6, -9) to (6, -9)Lastly, shift 3 units to the right to move to (9, -9) which is the location of D'In short, D(-3,-9) reflects over the line x = 3 to land on D ' (9, -9)
The other points E, F, G will follow the same steps to get the answers you see at the top.
The diagram below visually summarizes everything.
-------------
Side notes:
The distance from D to the line of reflection is the same as the distance from D' to the line of reflection. Put another way, the line of reflection bisects segment DD'. Points E,F,G follow the same property.Going from D to E to F to G has us go counterclockwise. Going from D' to E' to F' to G' has us go clockwise. Any reflection transformation will flip the orientation.Rochelle is applying for two jobs at a restaurant. As a hostess, she would be paid $530
weekly. As a
server, she would be paid $310 weekly, plus tips.
Which inequality can be solved to findt , the weekly tips Rochelle has to earn in order for
the server job to
pay more than the hostess job?
Answer:
530+310+x=<310+x
Step-by-step explanation:
you need to find out x by doing 530+310 then divide 530+310 by 10
What is h? even if you can just tell me how to find it would be helpful!
Answer:
possibly 5?
Step-by-step explanation:
But can you plzzz help me with my latest question
In the figure below, APQR is a reflection of ATSA.
Two students describe the given triangles as shown:
Student I: Because reflections preserve side lengths, OR a SR, PO TS, and PR TR.SO APORATSR by SSS.
Student II: Because reflections preserve both side lengths and angle measures, ZROP ZRST, OR SR. and PO = TS. SO APOA - ATSR by SAS.
Who has proven APOR - ATSR correctly?
only studenti
only student II
o
both student I and student II
o
neither student I nor student II
Answer:
both student one and student two
Step-by-step explanation:
With the properties of congruent triangle we conclude that the statement of both student I and student II are correct.
Congruent triangle-If the sides of two triangle measure same lengths and the angle have same measures then the two triangle are said to be congruent.
Given-
Statement of student 1-Because reflections preserve side lengths,
[tex]QR \cong SR[/tex],
[tex]PQ \cong TS[/tex],
[tex]PR \cong TR.[/tex] so,
[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]
In all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangle are said to be congruent by the side side side (SSS) rule. Hence, the above statement is correct.
Statement of student 2- Because reflections preserve both side lengths and angle measures,
[tex]\angle RQP \cong \angle RST[/tex]
[tex]QR \cong SR[/tex]
[tex]PQ \cong TS[/tex]
[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]
In any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangle are said to be congruent by the side angle side (SAS) rule. Hence the above statement is correct.
Hence, with the properties of congruent triangle we conclude that the statement of both student I and student II are correct.
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WILL GIVE BRAINLIEST - Given z = 1 –i, which letter represents z^3?
Answer:
A
Step-by-step explanation:
EDGE 2020
The solution is Option A.
The value of the equation is P = -2 - 2i
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as z
Now , the value of z is
z = ( 1 - i )
Now , calculate the value of z³ is
z³ = ( 1 - i )³
z³ = 1³ - i³ - 3 ( 1 )²i + 3 ( i )² 1
On simplifying the equation , we get
z³ = 1 + i - 3 - 3i
z³ = -2 - 2i
Therefore , the value of z³ is -2 - 2i
The point on the graph is A
Hence , the value of the equation is -2 - 2i
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Oblicz ile wynosi niewiadoma (a+1)-(-8)= -9
Step-by-step explanation:
I don't understand your language but if it's the solution;
(a+1)-(-8)= -9
Remove the parentheses
a+1+8= -9
Collect the like terms
a= -9-8-1
a= -18
Question 1 (5 points)
Saved
(01.01 LC)
Which of the following is a rational number? (5 points)
square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:
1)
square root of 2
2)
square root of 3
3)
square root of 4
4)
square root of 5
Answer:
Square root of 4 is ans
Step-by-step explanation:
Answer:
4) square root of 4
Step-by-step explanation:
One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilities.
What is the probability that the ball not divisible by 3?
Step-by-step explanation:
9 in total numbers can't be divided by 3...
therefore your probability will be = 9/14
= 0.64
Will give brainliest please help
Answer:
49
Step-by-step explanation:
In the middle of the figure , there's a square whose each side length is 7. So area of the square will be [tex] {7}^{2} = 49 \: {unit}^{2} [/tex]
Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )
20% = 1/5
0.35 = 35/100 but simplified is 7/20
I hope this helps, and Happy Holidays! :)
I need helppppp please someone help
Answer:
I think it 50+ 0.35m and then for part b 50+0.35m 0.35×80+50= $78
Step-by-step explanation:
0.35×80=28+50=78