A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?

Answers

Answer 1

Answer:

The radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

[tex]A\:=\:4\pi r^2[/tex]

[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]

[tex]r\approx 20[/tex] cm

Therefore, the radius of the sphere, to the nearest cm:

[tex]r\approx 20[/tex] cm


Related Questions

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Which of the following reasons would justify Statement 4?

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The following reasons aren’t stated, but the congruency law is AAS

60 POINTS
Does the following table show a proportional relationship between the variables g and h?

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Answer:

Where is the table?

Step-by-step explanation:

Where be it

Caden earned $24 for cleaning his neighbor's house 6 times. If Caden charged the same rate and earned $40, how many times did he clean his neighbor's house? Use a unit rate to find the unknown value.

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Answer:

2 time s=two then minus the neighbors kids

Step-by-step explanation:

HELP ME PLSS,, I need help

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Answer:

$100 per deposit

Step-by-step explanation:

Answer:

It is very simple all you have to do is take the first two points and figure how far they are apart from each other. Well from 250 to 150 is 100 so every deposit they put 100 dollars in so the answer is.

$100 dollars deposit

Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
2(3x + 15)
6(x + 30)
6(x+5)
3(2x + 10)


PLEASE HELP

Answers

Answer:

6(x+5)

Step-by-step explanation:

what the person above said. when you multiply 6(x+5) out, you will get 6x+30. you will get the same for all of the other choices except for the 2nd one, but 6(x+5) is the one that is factored out the most, so this would be the best choice. if you need anymore help, let me know!

BRO CAN ONE PERSON HELP ME WITH THIS QUESTION THIS IS MY LAST QUESTION ON THIS GD TEST PLZ I'LL GIVE BRAINLIEST IF YOU ANSWER RIGHT AND HAVE AN EXPLAINATION.
Solve C=59(F−32) for F

Answers

Answer:

F = C/59 + 32

Step-by-step explanation:

Solve for y.
y- 1.47 = 8.77​

Answers

Answer:

10.24

Step-by-step explanation:

8.77 plus 1.47 = 10.24

Answer:

y = 10.24

Step-by-step explanation:

y - 1.47 = 8.77

=> y = 8.77 + 1.47

=> y = 10.24

Jenny James has score of 78 89 90 and 96 on her first four test what score should she make out of 100 points in order to have at least an average of 90

Answers

Answer:

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

Step-by-step explanation:

Given that:

Scores of four tests

78, 89, 90 and 96

Let,

x be the score on fifth test.

Average is the sum of quantities divided by total number of quantities.

Average = 90

Average = [tex]\frac{Sum\ of\ scores}{No.\ of scores}[/tex]

Putting the values in the formula;

[tex]90=\frac{78+89+90+96+x}{5}\\90=\frac{353+x}{5}\\90*5=353+x\\450=353+x\\450-353=x\\x=97[/tex]

Hence,

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

What is the name of the most dangerous fault line in the U.S.?
Your

Answers

That one in the san Andreas movie?

What is 1/2 times 14x

Answers

Answer:

7x

Step-by-step explanation:

This quantity is the same as obtained when dividing 14x by 2:  7x

Calculate the sale price for each item.
8. A ring that is $75.50 and 30% off.____
9. A pair of shoes that are $40.99 and 25% off.________________________________
10. A tie that is $30.00 and is 40% off.__________________________________________

Answers

Answer:

8. $52.85 you'll save $22.65

9. $30.74 you'll save $10.25

10.$18.00 you'll save $12.00

Step-by-step explanation:

Answer:

8. $52.85 saved$19.65

9. $30.74 saved$10.25

10. $18.00 saved$12.00

in desperate need of help , please help lol

Answers

Answer:

No, the figures are not similar.

Step-by-step explanation:

In order for the figures to be similar, in object B, the line labeled as 20 would need to be 10.

Can someone please help me please this is turned in like in a couple of minutes !!!!!!!!!!!!!!!

Answers

Answer:

1) 3 teaspoons

2) 16 tablespoons

3) 4 tablespoons

4) 16 oz

5) 4/6 or 2/3

6)2 cups

7) 4 cups

8) 4 quarts; 16 cups

9) 8 fl oz

10) 1

Step-by-step explanation:

What appears to be the range of the part of the function shown on the grid?
(A) g(x) = 2x
(B) g(x) = x - 3
(C) g(x) = x - 8
(D) g(x) = 2x - 8

Answers

Answer:

D) g(x) = 2x-8

Step-by-step explanation:

please help need done before 2

Answers

Answer:

130.25ft

Step-by-step explanation:

a^2+b^2=c^2

5.5^2+10^2=

30.25+100=

Y=mx+
finish the equation
Its one of the options
M
B
F
C

Answers

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

Answer:

b

Step-by-step explanation:

The slope intercept form of a line  is given by

y = mx+b  where m is the slope and b is the y intercept

please help ill mark brainliest if correct​

Answers

The answer is A) (3.1, 2.2)

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

2x + 4y = 15 → (2)

Substitute y = 2x - 4 into (2)

2x + 4(2x - 4) = 15 ← distribute and simplify left side

2x + 8x - 16 = 15

10x - 16 = 15 ( add 16 to both sides )

10x = 31 ( divide both sides by 10 )

x = 3.1

Substitute x = 3.1 into (1) and evaluate for y

y = 2(3.1) - 4 = 6.2 - 4 = 2.2

solution is (3.1, 2.2 ) → A

A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels

Answers

Answer:

22.5 miles

Step-by-step explanation:

15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15

Enter your answer as as 'x=NUMBER'
-8 - 3x + 8 = 27

Answers

Answer:

x= -9

Step-by-step explanation:

-8-3x+8=27

-8+8=0

-3x=27

divide by -3 both sides

27÷-3= -9

x= -9

Which of the following is an equivalent expression for -18x − 6?
A.
-6(3x + 1)
B.
-3(6x − 2)
C.
-3(6x − 3)
D.
-6(3x − 1)


PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!

Answers

The Answer is D, -6*3 is -18 and -6*-1 is -6

Answer:

its d

Step-by-step explanation:

help pls to get brainiest

Answers

Answer:

x= -3

Step-by-step explanation:

Answer:

3 (x+5) =6 (use the distributive property)

3x + 15 = 6  ( subtract 15 from both sides to isolate the x-term)

3x = -9 (divide both sides by 3 to get x alone)

x= -3 (the answer )

Please Help!
I've solved parts of the equation but I don't understand what to do next :(
Could someone please help me and give an explanation of what do do please!?
Thank you!

Answers

Step-by-step explanation:

please see it my step work solution

WHY DOES NODBODY HELP ME PLZZ HELP

Answers

Answer: your answer is A.

Answer:

From the graph, we can find the y-intercept, or where the line intercepts the y-axis, and the slope of the line to formulate our equation.

y-intercept = 3slope = -5

With this information, we can write the equation of the line:

C. y = -5x + 3

*Note: the slope-intercept formula for a line is y = mx + b, where m is slope and b is the y-intercept.

I need help with this question!
Experts only please

Will mark brainliest

Answers

3x + 2y(100)
yes he was correct
2 cups are added each time so 2 times 100 is 200 add the 3 you have 203.
i know i’m not an expert but i wanted to help :)

Can someone help me on this and thanks :)

Answers

just download a app called math away

Answer:

(0, -2)

Step-by-step explanation:

You are correct: x = 0 at the y-intercept, and the y-intercept is show with the y-coordinate of -2

please help me!!! i will gladly give brainliest :)


Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?


A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.

B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.

C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.

D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.

Answers

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

[tex]\angle ONP\cong \angle MNL[/tex]       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

[tex]\angle NOP\cong \angle NML[/tex]

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

[tex]\Delta ONP\sim \Delta MNL[/tex]        (AA postulate)

Therefore, the correct option is A.

Similar triangles may or may not be congruent.

The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.

From the question, we have:

[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles

Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent

[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]

[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]

[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]

Option (b) is incorrect because angles NOP and ONP are not corresponding angles

Options (c) and (d) are incorrect, because they prove the similarities by lines segments.

Hence, the correct option is (a).

This is so because, it proves the similarities of both triangles by using corresponding angles.

Read more about similar triangles at:

https://brainly.com/question/20502441

I have no idea how to find the values of x and y in that diagram. Can someone help?

Answers

Answer:

Multiple choice?

Step-by-step explanation:

What is the domain of x^2-bx +ax - ab/x2+bx-ax - ab /x2+bx+ax +ab/x2-bx-ax+ab

Answers

Answer:

The answer is "[tex]\bold{(-\infty, \infty)}[/tex]"

Step-by-step explanation:

Given:

[tex]\to \bold{\frac{\frac{x^2-bx +ax - ab}{x2+bx-ax - ab}}{\frac{x2+bx+ax +ab}{x2-bx-ax+ab}}}[/tex]

[tex]\to \frac{x^2-bx +ax - ab}{x2+bx-ax - ab} \times \frac {x2-bx-ax+ab}{x2+bx+ax +ab}\\\\\to \frac{x(x-b) +a(x - b)}{x(x+b)-a(x +b)} \times \frac {x(x-b)-a(x-b)}{x(x+b)+a(x +b)}\\\\[/tex]

[tex]\to \frac{(x-b) (x+a)}{(x+b)(x-a)} \times \frac {(x-b)(x-a)}{(x+b)(x +a)}\\\\\to \frac{(x-b)}{(x+b)} \times \frac {(x-b)}{(x+b)}\\\\\to \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]

[tex]\to f(x) = \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]

So, the domain are [tex]\bold{(-\infty, \infty)}[/tex]

How many solutions does this nonlinear system of equaTions have?

Answers

Answer:

There are five possible types of solutions to the system of nonlinear equations representing an ellipse and a circle

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

Step-by-step explanation:

Depends on how many points on the graph

On a graph, how do you find slope?

Answers

Answer:

you move up and across then write it as a fraction rise over run

So the formula is (y2 - y1) / (x2 - x1)

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