If the volume of two similar spheres are 128m^3 and 1458m^3.
1. What is their scale factor? (in a ratio)
2. What is the ratio of their surface areas?

Answers

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

Scale factor is 11.39 and ratio is 729:64

what is scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

volume of two similar spheres are 128m³ and 1458m³.

Scale factor= volume of sphere 1/ volume of sphere 2

= 1458/128

= 729/64

= 11.39

and the ratio = 729 : 64

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Related Questions

which is equal to (6 times 9) plus (6 times 8)

Answers

Answer:

( 6 x 9  ) + ( 6 x 8) = 102

Step-by-step explanation:

The answer 102

Hope this helped!

Answer:

102

Step-by-step explanation:

6 times 9 is 54

8 times 6 is 48

Then add to get 102!!!

what is the reciprocal of c^2 + 8

please help!!

Answers

Answer:

the answer is the same.....

[tex]\frac{1}{c^2+8}[/tex]

PLZ HELP MEE!!!
NO LINKS OR WEBSITES!!! YOU WILL GET REPORTED!!!

Answers

Answer:

[tex]90 in^{2}[/tex]

Step-by-step explanation:

Base is an equilateral triangle

slant hight= 12 in

side of base= 5 in

so, perimeter of base = 3(5)=15 in

lateral area = 1/2 pl =1/2 (15)(12) in

=90 in²

--------

hope it helps..

have a great day!!

Answer:

Step-by-step explanation:

lateral area = 1.5*12*5 =90

the volume of a cylinder varies jointly with the square of its radius and with its height: V= kr^2h Cylinder A has a volume of 197.82 cubic inches and has a radius of 3 inches and a height of 7 inches. what is the volume of cylinder B, which has a radius of 4 inches and a height of 9 inches

Answers

Answer:

452.16 in³

Step-by-step explanation:

Given equation:

V = kr²h

Cylinder A has:

V = 197.82 in³r = 3 inh = 7 in

Using the given values find k:

197.82 = k*3²*7k = 197.82/63k = 3.14

The equation now is:

V = 3.14r²h

Find the volume of cylinder B:

V = 3.14*4²*9 = 452.16 in³

Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?

Answers

Answer:

Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.

There are 56 sheep in a paddock. Each sheep is either black or white. There are 6 times as many white sheep than black sheep. How many black sheep are there?

Answers

Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.

first, let's define the variables:

x = number of black sheep

y = number of white sheep.

We know that:

"there are 56 sheep"

Then we can write:

[tex]x + y = 56[/tex]

We also know that there are 6 times as many white sheep than black sheep, this means that:

[tex]y = 6 \cdot x[/tex]

Then we have a system of equations:

[tex]x + y = 56[/tex]

[tex]y = 6\cdot x[/tex]

To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.

Now we can replace that variable in the other equation:

[tex]x + y = 56[/tex]

[tex]x + 6\cdot x = 56[/tex]

Now we can solve this for x, the number of black sheep:

[tex]7\cdot x = 56\\\\x = 56/7 = 8[/tex]

There are 8 black sheep.

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The table below shows the base and height of three triangles in centimeters. Which triangles have the same area?

= 1/2 ℎ

Answers

Answer:

Triangle 1 and triangle 3 have same area.

Step-by-step explanation:

Given:

Triangle  Base  Height

1                30         16

2               60        40

3               20        24

Find:

Same area triangle

Computation:

Area of triangle = (1/2)(b)(h)

Area of triangle 1 = (1/2)(30)(16)

Area of triangle 1 = 240 unit²

Area of triangle 2 = (1/2)(60)(40)

Area of triangle 2 = 1200 unit²

Area of triangle 3 = (1/2)(20)(24)

Area of triangle 3 = 240 unit²

So,

Triangle 1 and triangle 3 have same area.

On a standardized exam, the scores are normally distributed with a mean of 300 and
a standard deviation of 40. Find the Z-score of a person who scored 240 on the exam.

Answers

Answer:

-1.5

Step-by-step explanation:

The Z - score of a person who scored 240 on the exam will be - 1.5.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

On a standardized exam,

The mean of scores = 300

Standard deviation = 40

Score on the exam = 240

Now,

Since, The Z - score is defined as;

Z - score = (X - μ) / σ

Where, μ is mean of scores and σ is Standard deviation.

Substitute all the values , we get;

Z - score = (X - μ) / σ

Z - score = (240 - 300) / 40

Z - score = - 60 / 40

Z - score = - 1.5

Therefore,

The Z - score of a person who scored 240 on the exam will be - 1.5.

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If a•b=b, what must the value of a be?

Answers

Answer: I think f

Step-by-step explanation:

The value of a must be 1 in order for the equation to hold true .

If a * b = b, we can find the value of a by isolating it on one side of the equation .

Given that a * b = b, we can divide both sides of the equation by b :

( a * b ) / b = b / b

This equation simplifies to form :

a = 1

For a = 1 the equation is true .

Therefore, the value of a must be 1 in order for the equation to hold true .

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What’s the answer to this ?

Answers

Answer:

Step-by-step explanation:

[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]

1st box: 140

2nd box: 140

3rd box: 35

The figure consists of parallel lines and transversal. Find the value of x and y.

Will give BRAINLIEST!!!!

Answers

Answer:

x = 28 y = 122

Step-by-step explanation:

Transversal Lines would be 112 and 4x

112 / 4 = 28

x = 28

y and 122 are alternate interior angles

so y = 122

hope this helps ^^

All but one of the following cannot be used internationally​

Answers

Answer:

I think national flag cannot be used internationally

Step-by-step explanation:

hope it helps you

Penelope is driving to college. She looks at a map to find out how far she has to drive. On the map, Penelope measures the distance to be 7.5 inches. If the map scale is 1.5 in. = 40 mi, how many miles does Penelope need to drive?
Please Help!!

Answers

Answer: 200 miles

Step-by-step explanation:

Use the Pythagorean Theorem to find the length of the leg in the triangle below. The figure shows a right triangle with one leg marked 3. The hypotenuse is marked 5.

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

If the unknown leg is represented by x, then the Pythagorean theorem tells you ...

  x² + 3² = 5²

The sum of the squares of the legs equals the square of the hypotenuse.

Solving for x, we have ...

  x² = 5² -3² = 25 -9 = 16

  x = √16 = 4 . . . . . . . only the positive root is of interest

The missing leg length is 4 units.

_____

Additional comment

This exercise shows you that the triple (3, 4, 5) will form a right triangle. It is the smallest integer "Pythagorean triple", and the only one that is an arithmetic sequence (the differences between the numbers are the same). You will see this a lot, sometimes multiplied by various factors: 6, 8, 10, for example. It is worth remembering.

Answer:

4

Step-by-step explanation:

Correct answers:

$4$

Let a represent the length of the leg and label a on the figure.

The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.

The figure shows a right triangle with legs marked a and 3. The hypotenuse is marked 5.

Using the Pythagorean Theorem with b=3, c=5, and solving for a, we have

a2+b2a2a2a2a2aa=c2=c2−b2=52−32=25−9=16=16−−√=4

The length of the leg is 4.

What is the mean of the data set? 108, 305, 252, 113, 191 Enter your answer in the box.

Answers

Answer:

193.8  its right

Step-by-step explanation:

Answer:

193.8

Step-by-step explanation:

I need help with this

Answers

3 lol have a nice dayyy. yall

Answer: the one with the triangle shaped shaded green.

Step-by-step explanation:

Can someone tell me which one of the following options from my photo is correct?

Answers

Answer:

C and E

Step-by-step explanation:

Expressions does not contain any equal or less than greater than sign

So C and E are the right answers

the average of three numbers is 15. two of them numbers are 17 and 14 . what is the third number?,​

Answers

Answer:

19

Step-by-step explanation:

Given average of 3 numbers = 17 Total of 3 numbers = 17×3 = 51. Given average of 2 numbers = 16 Total of 2 numbers = 16×2 = 32 Therefore, Third Number = 51–32 = 19

John applied for a loan of $5,000.00 with an annual interest rate of 3% to be repaid monthly for a year. The loan terms include a processing fee of 0.1% of the loan amount and a quarterly administrative charge of 0.05% of the loan amount. What is the total cost of financing?​

Answers

Answer:

Enter the amount of money you are investing. Start Year. Enter the year in which the money was first invested. End Year. Enter the future year on which you want to base your calculation. Annual Interest Rate. Enter the annual compound interest rate you expect to earn on the investment. The default value (2.0%) equals the rate currently paid on five-year Guaranteed Investment Certificates

Step-by-step explanation:

Which condition would prove △JKL ~ △XYZ

Answers

The Answer Is KL/YZ=8

have an amazing day <3

Answer:

D

Step-by-step explanation:

JL/XZ = 8

Review the graph of function g(x).

On a coordinate plane, a line goes from open circle (0, 0) through (negative 4, 2). A curve goes from the open circle to (2, 1) and then down through open circle (4, 0). A closed circle is at (4, negative 2).

Which table identifies Limit as x approaches 0g(x) and Limit as x approaches 4g(x), if they exist?


Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 0

Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 DNE
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 −2

Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 −2

Answers

Answer:

The Answer is A) 0,0

Step-by-step explanation:

I got it right!

why do we need to know the different abbreviation of measurements and its equivalent?

Answers

Answer:

See explanation.

Step-by-step explanation:

You will need to know the abbreviations of measurements because when pertaining to the real world, an you will see things as so "This fence is about 15ft tall." or "Jacobb is 72in tall."  If you do not understand the abbreviations you will not understand what anyone is ever talking about when it comes to measurements. As for knowing how to convert measures to be equivalent, that is important because some measurements are bigger than others. It doesn't make since to say 12 inches, when you can just say 1 foot.

The diagram shows the floor plan of a hotel lobby. The carpet that she wants to buy for that floor costs $3 per square foot. How much will it cost to carpet the lobby?

Answers

Answer: $ 1 710

Step-by-step explanation:

Area of parallelogram = base x height = 27 x 20 = 540ft2

Area of triagne = 1/2 x base x height = 1/2 x 3 x 20 = 30ft2

total = 540 + 30 = 570ft2

570 ft2 x $3 = $1 710

Write an inequality for this situation:You are driving, and
the maximum speed limit is 55

Answers

Answer:

c

Step-by-step explanation:

If the average rate of change 10 is greater than the average rate of change of -12.5 explain why this is incorrect?

Answers

Answer:

Step-by-step explanation:

It's the magnitude of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

If 2 dice were rolled 180 times, how many times would you expect to get the sum of 11? PLEASE HELLLLLPPPPP ASAP!​

Answers

Answer:

The answer is 5 times

Step-by-step explanation:

1/6*1/6*180=5

Jose is planning to spread fertilizer on his rectangular yard. His yard is length of 40 feet and width of 25 feet. How much fertilizer does he need?

Answers

Hello, it’s a pleasure to help you!
1,000 square feet.

rewrite
3/20
and
2/15
so that they have a common denominator.

Answers

the answer can be that they can have a common denominator at 9/60 and 12/60?

i dont know if i am doing this wrong but i got non-fiction, fiction, children, school but it is not an option can someone double check

Answers

Answer:

non fic, fiction, children, school

Step-by-step explanation:

fiction: 1/4= 0.25

non fic: 1/2=0.50

school: 1/10= 0.10

children: 3/20= 0.15

Can someone help? I hate math so much lol I don’t understand

Answers

Answer:

±6

Step-by-step explanation:

Given the mathematical expression;

√36 < √42 < √49

But, √36 = 6 * 6 = 6²

√49 = 7 * 7 = 7²

Simplifying further, we would substitute the new values respectively;

±[6] < √42 < ±[7]

Therefore, evaluating √36 is equal to ±6.

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