Answer:
Area: 113cm²
Circumference: 37.7cm
Step-by-step explanation:
to find area use the formula πr², π being Pi (3.14) and r being radius
radius = 6cm (half the diameter)
3.14 × 6² = 113.04cm²
to find the circumference use the formula πd
diameter = 12cm
3.14 × 12 = 37.68
Mr. Jefferson is building a seesaw for the playground using the diagram shown. In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle. What is m1?
The angle m1 will be equal to 50°. The correct answer is option A.
The complete question is as below:-
Mr Jefferson is building a seesaw for the playground using the diagram shown. (see picture) In the diagram, the seesaw board is parallel to ground level and the triangle is an isosceles triangle.
What is m1?
A. 50º
B. 65º
C. 115º
D. 130º
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
We can find the angle using the opposite angles theorem. When two are lines are crossed, there are four angles formed between them, and the opposite angles will be always equal.
Now, since the seesaw board is parallel to the ground, we can deduct (applying the opposite angles theorem) that both angles formed at the base of the triangle are equal to 65°.
Also, we must remember that the sum of the three interior angles of a triangle will be always equal to 180°, so:
m1 = 180 - ( 65 + 65 0
m1 = 50°
Therefore the angle m1 will be equal to 50°. The correct answer is option A.
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help me on this asap
Answer:
A
Explanation:
Formula for the volume of a cone :Volume (cone) = 1/3πr²h
=========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
=========================================================
Solving :
⇒ Volume (cone) = 1/3 × π x 4² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2
help plsss
There are two negative roots to the provided polynomial function
f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2
[tex]\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)[/tex]
Using the zero product property:
[tex]\rm \left x+1\right = 0 \ \ \ or \left x^6-x^5+x^4-3x^3+3x^2+4x-2\right = 0[/tex]
After solving:
x = -1, x = -0.853, and x = 0.418 (using the graph method)
Thus, there are two negative roots to the provided polynomial function
f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2
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Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFractin right-parenthesis.) and has a slope of StartFraction 3 Over 4 EndFraction.?
y – y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis. = y minus StartFraction 3 Over 4 EndFraction equals StartFraction one-third EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
y – y minus StartFraction one-third EndFraction equals 4 left-parenthesis x minus StartFraction 3 Over 4 EndFraction right-parenthesis. = 4(x – )
y – 4 = y minus 4 equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus StartFraction one-third EndFraction right-parenthesis.(x – )
The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
What is the Point-slope form?
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
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Pablo Started to run on a treadmill after its timer for
77 minutes. The display says that he has finished 54% of his fun.
How many minutes have gone by?
Work Shown:
54% = 54/100 = 0.54
54% of 77 = 0.54*77 = 41.58
That rounds to 42 if your teacher wants you to round to the nearest whole minute.
6.10^5 is how many times as large as 3.10^3
A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids is listed below.
31,33,36,41,34
Find the standard deviation of the data set. Round your answer to the nearest hundredth.
A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E. please please hurry with the answers.
From the image that we have here, the translation of the image would be:
B is the image of D. B is the image of E.C is the image of D.What is translation in mathematics?In the field of mathematics, this is the type of transformation which would take points in an image and move it in similar distance and direction.
It has to do with the movement of points in an horizontal manner or in a vertical manner.
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What are the solutions of the equation x^4-9x^2+8=0? Use u substitution to solve.
Answer:
The answer is the second option
Step-by-step explanation:
Let u=x^2.
[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8( {x}^{2} ) {}^{0} [/tex]
[tex] {u}^{2} - 9u + 8[/tex]
[tex](u - 1)(u - 8)[/tex]
[tex]u = 1[/tex]
[tex]u = 8[/tex]
Set this equal to x^2
[tex] {x}^{2} = 1[/tex]
[tex]x = 1[/tex]
or
[tex]x = - 1[/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = 2 \sqrt{2} [/tex]
or
[tex]x = - 2 \sqrt{2} [/tex]
Henry flies from Washington, D.C., to Boston, MA. The first flight from Washington, D.C., to New York City is 1 h 12 min. The layover in New York City lasts 2 h 41 min. The flight from New York City to Boston lasts 1 h 10 min. How long is it from the time the first flight takes off to the time Henry touches down in Boston?
Answer:
5 hours 3 minutes
Step-by-step explanation:
Add all of the times together, but remember that minutes only goes up to 60 minutes. So when you add all the minutes and you get 63, subtract 60 and add an hour, and you are left with 3 minutes.
A population of sea turtles decreases by 25% per year. The population size is currently 1,024. Which expression calculates the population x years From now?
The expression calculates the population x years from now will be given as y = 1024 (0.75)ˣ.
What is an exponent?Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
The population of sea turtles decreases by 25% per year. The population size is currently 1,024.
Let y be the population of sea turtles and x be the number of years.
Then we have
y = 1024 (1 - 0.25) ˣ
y = 1024 (0.75) ˣ
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I have it on the photo please help
Since the line is a solid line and the graph is shaded below, the required equation will be 3y- x≤ -4
Equation of a lineThe standard equation of a line in slope intercept form is expressed as y = mx+b
Using the coordinate points (4,0) and (1, -1)
Determine the slope
Sope = -1/-3
Slope = 1/3
For the y-intercept
0 = 1/3(4) + b
b = -4/3
Substitute
y = 1/3x - 4/3
Rewrite in standard form
3y = x - 4
3y - x = -4
Since the line is a solid line and the graph is shaded below, the required equation will be 3y- x≤ -4
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GIVING OUT BRAINLIEST!
2. Which integers do you use for counting?
Answer:
Whole integers
Step-by-step explanation:
0, 1, 2, 3, 4, 5... are all whole numbers, or the counting numbers. If we didn't specify "whole", then that would also include decimals, and we don't count usually with decimals.
Hope this helps!
Question 9 of 13
Which of the following scatterplots represents the data shown below?
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47),
(9,34), (10,3), (11, 33), (12, 35)
The attached graph represents the scatter plot of the points
How to determine the scatter plot?The lists of options are not given. So, I will plot the points and upload the scatter plot as an attachment.
The points are given as:
(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)
The above points would be plotted using the following scale:
x: axis -> 1 interval = 10 unitsy: axis -> 1 interval = 10 unitsSee attachment for the scatter plot
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find the coordinates of the vertices of the figure after the given transformation T <2,4>
OA.J'(-2,-1),E'(-2,1),V'(1,3)
OB. J'(1, -1), E'(1, 1), V' (4, 3)
OC. J'(0, -2), E (0, 0), V' (3, 2)
OD. J' (-3, -2), E'(-3,0), V'(0, 2)
The correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
Given that:-
The coordinates of the vertices of the figure after the given transformation T <2,4>So we will transform the points given in the figure.
V(-1,-1) , J(-4,-5) and E(-4,-3).
The transformation will be given as:-
V(-1,-1) → V'(-1+2 , -1 + 4) → V'( 1,3 )
J(-4,-5) → J'( -4 +2 , -5 + 4 ) → J'( -2,-1 )
E(-4,-3). → E'( -4+2 , -3+4 ) → E' ( -2, 1 )
Therefore correct answer is option A which is j'(1,3) , E'( -2,1) and V'( 1,3).
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A rose garden is formed by joining a rectangle and semicircle. The rectangle is 25ft long and 29 ft wide. If the garden wants to build a fence around the garden, how much feet of fence are required
Step-by-step explanation:
normally the perimeter of a rectangle is
2×length + 2×width
in this case here one of the sides in that calculation has to be replaced by the outer circumference of the semicircle.
but which one ? you did not say, whether the semicircle is attached to a length or to a width of the rectangle.
the circumference of a circle is
2×pi×r
r being the radius (= half of the diameter).
so, the outer circumference of a semicircle is
2×pi×r/2 = pi×r
since we don't know the side of the rectangle, I am giving you both calculations here, and you have to pick the right one that fits your original problem definition.
if it is attached to a length (25 ft), then the radius of the semicircle is
25/2 = 12.5 ft
and the whole perimeter is
length + semicircle + 2×width =
= 25 + pi×12.5 + 2×29 =
= 25 + 39.26990817... + 58 = 122.2699082... ft
if it is attached to a width (29 ft), then the radius of the semicircle is
29/2 = 14.5 ft
and the whole perimeter is
2×length + semicircle + width =
= 2×25 + pi×14.5 + 29 =
= 50 + 45.55309348... + 29 = 124.5530935... ft
what does 7,124 ÷ 26 equal too explain with what you know
Answer:
274
Step-by-step explanation:
i used a calculator. You can try long division
Answer:
274
Step-by-step explanation:
7,124 ÷ 26 =274
0 2 7 4
2 6 7 1 2 4
0
7 1
5 2
1 9 2
1 8 2
1 0 4
1 0 4
0
pless help me and right answers
Answer:
b
Step-by-step explanation:
ig becuase the line goes through 0,0 so it starts from negative
Correct to four significant figures (573.06*184.25)
105600
Step-by-step explanation:Significant figures are used in scientific fields to show precision.
Multiplication
When rounding to significant figures you need to first do the operation shown. So, before we round we need to multiply 573.06 * 184.25.
573.06 * 184.25 = 105586.305This is an important step whenever you are rounding to significant figures. If you preround, you will be left with the wrong answer.
Significant Figures
Now that we have the answer before rounding, we need to know how to determine significant figures. If there is a decimal point present, then start counting significant figures at the first non-zero digit from the left.
For example:
The number 539.760 has 6 significant figuresIf the decimal point is not present, then start counting significant figures from the first non-zero digit from the right.
For example:
The number 280020 has 5 significant figuresRounding
Finally, we can round our answer. Firstly, there are more than 4 digits before the decimal point. This means that our rounded answer will not have a decimal point, so when counting sig figs we will start from the right. Remember, even when rounding, a number should always have the same number of digits before the decimal point, even if they are not all significant.
Since we are rounding to 4 sig figs, we need to look at the 5th digit from the left, which is 8. This means we will round up.
So, write the first 4 digits of the number, but round the last one up. Then, write the remaining digits before the decimal point as 0.
105586.305 rounds to 105600C. If one cubic foot contains about 7.5 gallons, how many gallons of water are in the pool? (3 points) I Water: gallons 3. A rectangular cake pan is 13 inches by 9 inches by 2 inches. A round cake pan has a diameter of 8 inches and a height of 2 inches. Which will hold more batter, one rectangular pan or two round pans? (5 points)
Answer:
One Rectangular Pan
Step-by-step explanation:
Part C cannot be answered since the dimensions of the pool are not given. Please check the question.
The cake pans may be compared by calculating the volume of each shape:
Rectangular pan: Volume = Length x Width x Height
Volume Rectangle = (13")*(9")*(2") = 234 in^3
Round pan: Volume = [tex]\pi r^{2} h[/tex]
Volume Round = (3.14)*(4")^2(2") = 100.5 in^3
Two round pans will hold 2*(100.5 in^3) or 201 in^3 of batter
One rectangular pan holds 234 in^3.
Go with the rectangular pan if you want more cake.
What is the area of a triangle whose vertices are X(1, 1), Y(3, -1), and Z(4, 4)?
Please respond within 24 hours.(Worth 100 points becasue of how much I need it.)
Answer:
Step-by-step explanation:
Please help me with this!
Answer:
Yes, x = 0 is a solution to the given equation
Step-by-step explanation:
[tex]1^3+1(1-1)=1-x^2[/tex] (Given)[tex]L.H.S.=1^3+1(1-1)[/tex] [tex]= 1 +1(0)[/tex] [tex]= 1+0 [/tex] [tex]=1[/tex] [tex]R.H.S. =1-x^2[/tex] [tex]=1-(0)^2[/tex] (Plug x = 0)[tex]=1-0[/tex] [tex]=1[/tex] [tex]\implies L.H.S. = R.H.S.[/tex]Thus, x = 0 is a solution to the equation [tex]1^3+1(1-1)=1-x^2[/tex]Hi Student!
The goal of this question is to determine x = 0 is a solution of the expression that was provided. The first step that we must take is input 0 into all of the x's that we have in the expression. Then we just simplify both sides and determine if the end expression is true and if it is then x = 0 is a solution.
Plug in the values
[tex]1^3 + 1(1 - 1) = 1 - x^2[/tex][tex]1^3 + 1(1 - 1) = 1 - (0)^2[/tex]Simplify both sides
[tex]1^3 + 1(0) = 1 - 0[/tex][tex]1 + 0 = 1[/tex][tex]1 = 1[/tex]Looking at the final expression, we can see that 1 is indeed equal to 1 and since the expression is true, we can say that x = 0 is a solution of the expression that was provided in the problem statement.
what is 3+7, i got 346 but i dont know if its right
Answer:
10
Step-by-step explanation: The sum of 3+7 is 10
Answer:
10
Step-by-step explanation:
3+7 is 10
if you add 1 on to 7 three times, we get
8,9,10
(i know this is a troll question lol)
hope this helps!
give brainliest :)
Manny drove 385 miles in 7 hours. How far will he go in 12 hours?
Answer:
660 miles.
Step-by-step explanation:
385 m/7 h = 55 m/h
55 m/h * 12 h = 660 m
find the next 3 terms of the following sequences a.4,9, 16,25 b.1,4,9, 16 c.1,4,7,10 d.3,9, 15, 21
Answer:
for a) the next three would be 36, 49 and 64
for b) the next three would be 25, 36 and 49
for c) the next three would be 13, 16, and 19
for d) the next three would be 27, 33, and 39
Step-by-step explanation:
Answers:
(a) 36, 49, 64(b) 25, 36, 49(c) 13, 16, 19(d) 27, 33, 39========================================================
Explanations:
(a) The given terms 4,9,16,25 are perfect squares (eg: 16 = 4^2 and 5^2 = 25). The next set of perfect squares are 6^2 = 36, 7^2 = 49 and 8^2 = 64.(b) Similar to the previous part. This time the next three terms are 25, 36, and 49 because 5^2 = 25, 6^2 = 36 and 7^2 = 49.(c) We start at 1 and add 3 each time. This sequence is arithmetic. The next term after 10 is 10+3 = 13. After that is 13+3 = 16. Finally 16+3 = 19 is the last term we need.(d) Similar to part (c) earlier. This time we start at 3 and add 6 each time. The next three terms are 21+6 = 27, and 27+6 = 33, and finally 33+6 = 39Find g'(t) for the function g(t) = 7/t^4
The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
What is differentiation?
The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.
Given that:-
[tex]g(t)= \dfrac{7}{t^4}[/tex]
The derivative will be calculated as:-
[tex]g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}[/tex]
Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
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Find the length of the arc in terms of pi
Answer:
see the attachment photo!
A positive; 1 student; $350
B negative; 1 student; $350
C positive; 1 student; $500
D negative; 1 student; $600
Find the slope(20 points)
The slope of a line is the rate of change of the line. The slope of the line is 1
Slope of a lineThe slope of a line is the rate of change of the line. The slope os calculated as:
Slope = y2-y1/x2-x1
Using the coordinate points (-1, 0) and (0, 1)
Substitute
Slope = 1-0/0-(-1)
Slope = 1/1
Slope = 1
Hence the slope of the line is 1
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a rectangle with a perimeter of 30 centimeters is twice as long as it is wide. what is the area of the rectangle in square centimenters?
Answer:
50cm squared
Step-by-step explanation:
Imagine the width is 'a'
Then the length will be 2a as it's twice as wide as it's long.
The formula for perimeter is 2(L+W)
If we subsitute the algebra/numbers in we get
P = 2(L+W)
30 = 2(2a+a)
30 = 2(3a)
30 = 6a
5 = a
a = 5cm
Then the area is the following
A = LW
A = 2a(a)
A = (2(5))(5)
A = 10(5)
A = 50cm squared