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

can someone help me ​

Answers

D, the answer is D I believe

Answer:

C. y = 4/5x + 2

Step-by-step explanation:

y = mx + b

m is the slope and b is the y-intercept

the slope is 4/5, because of rise/run

y-intercept is 2 as the line goes through 2 on the y-axis

Also it's 4/5 not -4/5 because negative means it's going down, the line in this graph is going up hence positive 4/5

Craig likes to collect records. Last year he had 4 records in his collection. Now he has 7 records. What is the percent increase of his collection?​

Answers

Answer:

75% I believe

Step-by-step explanation:

A 100% increase would be 8 so adding one would be a 25% increase. since 3 were added it would be 75

Evaluate [(30 + 6) -3^2] /9.2

Answers

It's 6 srry that guy above just stole free points

Solve for x
3x - 7 = 2

Answers

Answer:

x = 3

Step-by-step explanation:

Add 7 to both the seven and the two and you get 3x = 9. Next, you divide 3 by both sides and get x = 3.

1. Let x = 3
3 x 3 - 7 = 2

2. Simplify 3 x 3 to 9
9 - 7 = 2

3. Simplify 9 - 7 to 2
2 = 2

Help!!! Which graph represents the system of inequalities

Answers

Answer:

A

Step-by-step explanation:

This can be seen becuase if y is greater it will be shaded above the line. If y is less than then it will be shaded under the liner.

Answer:

A

Step-by-step explanation:

I need help plz I can't seem to solve this ​

Answers

I would be 1
Because
1 1/3= 4/3
So that leaves you with 4/3 * 3*1/4 which you reduce it so
1/3*3=1*1=1

8. 6 lb 5 oz - 4 lb 12 oz (There are 16 ounces in one pound.) (1 point)
2 lb 7 oz
1 lb 7 oz
1 lb 9 oz

Answers

Answer:

1 lb 9 oz.

Step-by-step explanation:

6 lb 5 oz - 4 lb 12 oz:

It's easier to do this in 2 steps:

6 lb - 4 lb 12oz

= 1 lb 4 oz

Now add 5 oz:

= 1 lb 9 oz.

Decide whether or not it is possible for a triangle to have three angle measurements or three side lengths given. If it is possible, then decide whether all such triangles are congruent.

Answers

Answer:

First one is not possible

Second one is possible, and would be an isocèles triangle

Third one is possible, would be scalene

Last one is not possible

Comment any further questions :)

Step-by-step explanation:

Rewrite the following in the form log(c).
log(8) – log(2)

Answers

Answer:

log(c). log(8) - log(2)

Step-by-step explanation:

These tiles represent the expression 2(5x–3)–9x. Which expression is equivalent to 2(5x–3)–9x?

Answers

Answer:

There are various answers... x-6 or 10x-6-9x or (5x-3)2-9x or (-3+5x)2-9x

Step-by-step explanation:

We all just have to distributive or simplify

At a local restaurant, 40% of the lunch customers order a hamburger, 70% of the lunch customers order French fries, and 30% of lunch customers order both a hamburger and French fries. If a lunch customer is randomly selected from this restaurant, what is the probability that the customer order fries if we know they ordered a hamburger?


0.40
0.40

0.43


0.75


0.30

Answers

Answer:

hola anyone got tacos

Step-by-step explanation:

The probability that a customer orders fries given that the customer orders hamburger is 0.75

To solve this, we make use of the following representations

A represents the event that a lunch customer orders a hamburgerB represents the event that a lunch customer orders a French fries

So, we have:

[tex]P(A) = 40\%[/tex]

[tex]P(B) = 70\%[/tex]

[tex]P(A\ n\ B) = 30\%[/tex]

The probability that a customer orders fries given that the customer orders hamburger is calculated as:

[tex]P(B | A) =\frac{P(A\ n B)}{P(A)}[/tex]

So, we have:

[tex]P(B | A) =\frac{30\%}{40\%}[/tex]

[tex]P(B | A) =0.75[/tex]

Hence, the probability that a customer orders fries given that the customer orders hamburger is 0.75

Read more about probabilities at:

https://brainly.com/question/15246027

You buy five books that are equal in
price and a DVD for $8. Your total
comes to $26.50. Write an equation
that would help you determine the cost
of one book.
Help!

Answers

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be 5x+8=26.50

5x + 8 = 26.50 ; x represents the price of 1 book

Caroline, Colin & Sarah share some money. Caroline gets 1 /9 of the money. Colin and Sarah share the rest in the ratio 1:3. What proportion does Colin get?

I need this ASAP. Will award brainliest answer.
Thanks

Answers

Answer:

2/9

Step-by-step explanation:

Caroline gets 1/9 of the money, so the 8/9 remaining is split 1:3 between Colin and Sarah. Colin gets 1/4 of the remaining money then.

1/4 * 8/9 = 8/36= 2/9

Answer:

2/9

Step-by-step explanation:

2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.

Answers

Answer: 15.44 m

Step-by-step explanation:

We can think this as two triangle rectangles.

In both cases, the adjacent cathetus is 120m.

When the angle is 32°, the opposite cathetus will be the height of the cliff.

When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.

Then we need to compute both of them and calculate the difference.

We can use the trigonometric relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

in this case we have:

Tan(32°) = (height of the cliff)/(120m)

Tan(32°)*120m = height of the cliff = 74.98m

Now we can use the other angle to compute:

Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m

Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m

Then the height of the flagpole will be:

H = 90.42m - 74.98m = 15.44 m

The price of a stock went from $32 to $28. If p is the percent decrease in the value of the stock, which proportion can be used to compute p?

Answers

Answer:

A

Step-by-step explanation:

sorry for being late

good luck m8s

The graph of a Function f(x) is shown below:

What is the domain of f(x)?

Answers

Answer:

69

no

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

A group of four friends goes to the movies. Each friend pays for a ticket, a snack, ana
drink. The ticket costs d dollars. The snack costs 1.5 times the price of a ticket
The drink costs $1.25 less than the ticket.
The expression 4d + 4(1.5d) + 4(d - 1.25) represents the amount the
riends pay altogether in dollars.
Which part of the expression represents the total amount the friends
pay for snacks?
d - 1.25
1.5d
4(1.50)
4d - 1.25)

Answers

Answer:

the answer is

4(1.5d)

Step-by-step explanation:

hope it help

The expression of the total amount paid on snacks is 4(1.5d).

What is the expression?

The expression is a sentence with multiple variables and constants connected via mathematical operator. An expression cannot have an equal to “=” sign.

It is known that the cost of a snack for 1 friend is 1.5 times the price of the ticket, d. So, the cost of a snack for 1 friend will be 1.5d

Multiply the cost of snacks for 1 friend by 4, to determine the total cost spent by 4 friends on snacks.

4(1.5d)

Thus, the expression for the total amount spent on snacks will be 4(1.5d).

To learn more about expressions click:

https://brainly.com/question/13947055

#SPJ5

transversals angles​

Answers

B. 2 because it is inside and on the same side as 1

Cherries cost $2.50 per pound and mangoes cost $3 per pound. Kal bought a total of 7 pounds of cherries and mangoes for $20. Write a system of equations to represent the situation.​

Answers

Answer:

x + y = 7

2.5x + 3y = 20

Step-by-step explanation:

cherries = $2.5 per pound

mangoes = $3 per pound

7 pounds of cherries & mangoes for $20

unkown x number of pounds in cherries

unknown y number of pounds in mangoes

x + y = 7

2.5x + 3y = 20

Do Anybody know this ?

Answers

Answer:

R= 30-9t.... I think

Step-by-step explanation:

What is the solution set to this inequality??
x^2-12x+35<_ 3

Answers

-8,-6,-4

-10,-6,0

these are the possible test points for your three intervals

Answer:

4≤x≤8

Step-by-step explanation:

PLZ HELP!!!

Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.
a. 20-100
b. 20-40

Answers

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Pam used the following process to find the y intercept of the line described by the equation 2y-y=11.

According to Pam's method, which expression gives the y-intercept of the line described by the equation ax+by=c?
a. -a/b
b. b/a
c. -b/c
d. c/d

Answers

Answer:

c/b

Step-by-step explanation:

Given the expression ax+by = c, the y intercept of the line occurs at when x = 0

Substitute x = 0 into the expression and get the value of y

ax+by = c

a(0)+by = c

0+by = c

by = c

divide both sides by b

by/b = c/b

y = c/b

Hence the y intercept of the line occurs at y c/b

Please help 10 pts!!

Answers

Answer: Any positive number less than 16

The diagram shows AD = 16. Applying a dilation with positive scale factor less than 1, will make the figure shrink. Segment AD becomes smaller, so the new AD will be some length less than 16.

For instance, if you use a scale factor 1/2 = 0.5, then AD = 16 turns into A'D' = 16*0.5 = 8

please helppp
(literally posting my entire math lesson)

Answers

Answer:

B

Step-by-step explanation:

Point B is located 6.5 tenths left of -8.

Answer:

Point B

Step-by-step explanation:

If you count 5 steps backward from -8, you land in the direct middle of -9 and -8. You can also count 5 steps forward from -9, but it doesn't change that the number represented is -8.5. Now focus on the distance from -8.5 to -9 (because between that distance are the points that we might be using). You repeat the same process used above, so if you half the distance between -8.5 and -9 then you'll get -8.75. As we can see, Point A is the closest to -8.75 compared to Point B. It wouldn't make sense to choose Point B because as we mentioned before, Point A is now most certainly not -8.65. Point B represents that number the best.

≧◡≦

Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!

The following temperatures were recorded in Pasadena for a week in April: 87, 85, 80, 78, 83, 86, 90. Determine the interquartile range. Type a numerical answer in the space provided.

Answers

Answer:

7

Step-by-step explanation:

87 - 80 = 7

Why is the red stuff coming out my underwear place pleaseeee helpp

Answers

Answer

it depends if you're on your period and if not then it could be something is but  if you're girl its a vaginal discharge is normal start by wearing panty liners to stop it and leaving on to that you'll get your period

Step-by-step explanation:

plz help me with this homework i have

Answers

the answer is D i’m pretty sure
i’m also pretty sure that it’s d, i’m not the best at it though but that’s the one i got

1 Which expression is equivalent to 1/3y?
A 1/3(y+12)-12
B 1/6y+1/3(y+3)
C 1/6y+1/6(y+12)-2
D 1/3y+1/3(6-y)​

Answers

Answer:

D is your answer HOPE THIS HELPS THANK ME PLEASE

Step-by-step explanation:

4.) A recipe uses 1.75 cups of flour to make 24 cookies. How many cups of flour are needed to make 72 cookies? *

Answers

Answer:

5.47 cups of flour

Step-by-step explanation:

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