the radius of 2 spheres are 4 and 12. find the scale factor of the surface areas

Answers

Answer 1

Answer:

~ Surface Area 1 = 9 * Surface Area 2 ~

Step-by-step explanation:

Let us look through this problem step by step;

1. The formula to determine the surface area of a sphere is 4πr^2

2. Here we can see that the difference between the two radii of the spheres is that one is 3 times greater than the other

3. So if you were to think about it, in this surface area formula if the radii is squared, the difference between the two surface areas would also be squared. That means that the difference between the surface areas is 3^2, or 9 times the other.

4. This would mean the scale factor to be that one of the spheres surface area is 9 times the other ( Surface Area 1 = 9 * Surface Area 2)


Related Questions

Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?

Answers

Answer:

24

Step-by-step explanation:

Ameeta = 12 math problems.

David =12×3=36 math problems

So 36-12=24

Answer:

12

David's

3 times longer

comparison problem

Step-by-step explanation:

got right on edge

The measures of the angles of a triangle are 25 degrees, 87 degrees, and 68 degrees. Is the triangle acute, right, or obtuse?

Answers

Answer:

their all less than 90 degress so its acute

Step-by-step explanation:

A pharmacy uses 4 x 10 to -3 liter of an ingredient in one dose of medication. The ingredient comes in a 2 liter bottle. How many doses can be made with one bottle?

Answers

Answer:

reeeeeee

Step-by-step explanation:

ask someone else

Plz help ..............!!!!!

Answers

Answer:

1.8

is the median

Answer: 1.8

Step-by-step explanation: 1.8 is the median

A 24 ounce box of cornflakes costs $4.59 the question is find the unit rate off the nearest cent per ounce. Compare.

Answers

Answer$5.22

Step-by-step explanation:

Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

Answers

Answer:

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 387.20, \sigma = 68.50[/tex]

What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?

This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So

X = 425

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{425 - 387.20}{68.50}[/tex]

[tex]Z = 0.55[/tex]

[tex]Z = 0.55[/tex] has a pvalue of 0.7088

X = 325

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{325 - 387.20}{68.50}[/tex]

[tex]Z = -0.91[/tex]

[tex]Z = -0.91[/tex] has a pvalue of 0.1814

0.7088 - 0.1814 = 0.5274

52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425

The net of a rectangular prism and its dimensions are shown in the diagram.
7.5 in.
7.5 in.
3 in.
3 in.
11.5 in.
11.5 in.
What is the total surface area of the rectangular prism in square inches?
A 143.25 in.2
B 241.5 in.?
C 258.75 in
D 286.5 in.?

Answers

Answer:

D.

Step-by-step explanation:

Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]

To find: total surface area of the rectangular prism in square inches

Solution:

Length of the rectangular prism (l) = 7.5 inches

Breadth of the rectangular prism (b) = 3 inches

Height of the rectangular prism (h) = 11.5 inches

Total surface area of the rectangular prism = 2(lb+bh+hl)

= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]

[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]

So, option D is correct

Answer:

D! I got it correcttt

Step-by-step explanation:

Pls answer the last question thank you! Number 5.

Answers

Answer:

1/2 x 4/1 x 2/1 = 4

4th should be 1/6 btw

Step-by-step explanation:

Answer:

Step-by-step explanation:

We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2

(you might have to draw this cube just sayin idk exactly what it wants)

How many possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin?

Answers

Answer:

16

Step-by-step explanation:

From the spinner there are 8 possible outcomes (1 to 8)

From the coin, there 2 (heads or tails)

8*2=16

There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE need to find the possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin.

From the spinner, there are 8 possible outcomes (1 to 8)

From the coin, there 2 heads or tails;

8 x 2 = 16

Hence, There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.

Learn more about multiplications;

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Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?

Help with steps if u love ur mama

Answers

Answer:

6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.

Step-by-step explanation:

1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.

[tex]48 \div 8 = 6[/tex]

volume ....................

Answers

Answer:

360 cm^2

Step-by-step explanation:

length x width x height

6 x 6 x 10

Answer:

360cm^3

Step-by-step explanation:

V=L*W*H

V=6*6*10

V=36*10

V=360

hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117

Answers

Answer:

First one:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

Step-by-step explanation:

7 × 8⅘

7(8) + 7(4/5)

56 + 28/5

56 + 5 + 3/5

61 3/5

Answer:

its A

Step-by-step explanation:

56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths

and pls mark me as brainliest if this is correct! :D

An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?

Answers

Answer:

$27.98

Step-by-step explanation:

100 - 30 in price %=70%

Price will be 70% of original regular price

$39.98 * .7 = answer

Answer:

Discount is $11.99

Total is now $27.99

Step-by-step explanation:

To find the discount, you find out what 30% is of 39.98, so you multiply

39.98 x 30%(or .3) = 11.994

39.98- 11.99= 27.99


Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?

Answers

8/10 because 10/100 is 1/10 so 7/10+1/10=8/10

Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.

Giving brainliest to CORRECT answer.

Answers

b i think .. i’m not sure

Answer:

A. 2

Step-by-step explanation:

[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.

A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey. How many litres of petrol will be left when the car has travelled 360 miles?

Answers

Answer:

15 liters

Step-by-step explanation:

60/480= 0.125

0.125*360= 45

60-45= 15

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?

Answers

Answer:

The range will be 103 because 148-45 = 103

Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million

Answers

The correct answer is $1.4 million

The insurance company must put $1.4 million into a bank account.

What is insurance?

Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.

Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,

Considering that the interest is Simple interest,

So, SI = PRT / 100

Here, the interest is 35000, P we need to find, r = 2.5 and T = 1

35000 = 2.5P/100

3500000 = 2.5P

P = 1400000

P = 1.4 millions

Hence, the insurance company must put $1.4 million into a bank account.

Learn more insurance click;

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Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?

Answers

Answer:

140

Step-by-step explanation:

175% of 80 = 140

how many square feet of of outdoor carpet will we need for this hole?

Answers

Answer:

To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.

Our length is 2ft, since it's a rectangle the other side is 2ft as well.

The width is 3ft, and the other half is 3ft.

So, basically to get the area of the hole, it'd be 3*2=

Which, it's 6sq ft.

Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3

Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon.

Answers

Answer:

20

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you.  1040/52=20 so every 20 miles cost 1 gallon of gas

what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94

Answers

Answer:

0.733

Step-by-step explanation:

Using a calculator or table:

P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)

P(-1.32 < Z < 0.94) = 0.8264 − 0.0934

P(-1.32 < Z < 0.94) = 0.733

Round 0.782 with 7 being the underlined digit

Answers

i think the answer is 1.92

ASAP PLEASE
simplify the equation​

Answers

Answer:

Option A is correct

Step-by-step explanation:

a^(6/4) = a^(3/2)

b^(4/4) = b

c^(8/4) = c^2

Hope this helps!

:)

Describe each pattern formed. Find the next three terms. 4,8,16,32

Answers

Answer:

The pattern is multiplying by 2.

Next three terms: 64,128,256

Step-by-step explanation:

4,8,16,32

To get from 4 to 8 we can multiply by 2.

To get from 8 to 16 we can multiply by 2.

To get from 16 to 32 we can multiply by 2.

So the pattern is multiplying by 2.

To find the next three terms:

32*2=64

64*2=128

128*2=256

Suppose a pyramid’s dimensions are tripled. What is the ratio of this new, larger pyramid’s volume to that of the original pyramid?
The new volume is one third the original volume.
The new volume is triple the original volume.
The new volume is 9 times the original volume.
The new volume is 27 times the original volume.

Answers

Answer:

The answer is D

Step-by-step explanation

I took the quiz on ed.

Answer:

the answer is d: the new volume is 27 time the original volume.

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY

Answers

Step-by-step explanation:

D.12

A.26

........................

Answer:

D and A

Step-by-step explanation:

D= 132

A is larger than 132

Which formula will find the area of the composite figure below ?

Answers

Answer:

Last formula

[tex] {side}^{2} + \frac{\pi {r}^{2} }{2} [/tex]

Step-by-step explanation:

Composite figure is made up of a square and a semicircle.

Therefore,

Area of composite figure= area of square + area of semicircle

[tex] \huge\purple {\boxed {= {side}^{2} + \frac{\pi {r}^{2} }{2}}} [/tex]

Which unit would be best for measuring the thickness of a coin?
kilometer
()) centimeter
meter
)) milli​

Answers

Answer:

Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.

Step-by-step explanation:

Is z = 5 in the solution set of the inequality 6z > 15
YES
OR
NAA

Answers

Answer:

Yes

Step-by-step explanation:

6z > 15

z > 15/6

z > 2.5

So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.

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