if the prisms below are similar what is the ratio of the surface area of the smaller prism to the surface area of the larger prism
v=24
v=375

If The Prisms Below Are Similar What Is The Ratio Of The Surface Area Of The Smaller Prism To The Surface

Answers

Answer 1

The ratio between the surfaces areas of the two prisms is equal to 6.25.

How to get the ratio of the surface areas?

The ratio between the volumes of the prisms is:

[tex]R_v = \frac{375 in^3}{24 in^3} = 15.625[/tex]

This number is equal to the cube of the scale of dilation applied to the dimensions of the smaller prism, so the scale factor is:

[tex]\sqrt[3]{15.625} = 2.5[/tex]

And the ratio between the areas should be the square of the scale factor, then we will have that the ratio between the surface areas of the two prisms is:

[tex]2.5^2 = 6.25[/tex]

If you want to learn more about scale factors, you can read:

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Related Questions

Last year, 351 children signed up to play football in Johnston County. Each single team had 27 players on its roster.

How many football teams were there in Johnston County?
13 teams

14 teams

15 teams

16 teams

Answers

Answer:

13 teams

Step-by-step explanation:

You have 351 children, and each team has 27 players.
Putting this into an equation you get:

351 ÷ 27 = x
x = 13

A pole that is 3.2 meters tall casts a shadow that is 1.18 meters long. At the same time, a nearby tower casts a shadow that is 42.25 meters long. How tall is the tower? Round answer to the nearest tenth.​

Answers

Answer:

114.6 meters tall

Step-by-step explanation:

If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:

3.2 m / 1.18 m = x / 42.25 m

You can then cross multiple and get:

1.18x = (3.2)(42.25)

1.18x = 135.2

You can then divide and solve for x.

x = 114.6 m

X is a variable for the height of the taller pole, so you can simply add units and thats the height.

Angelique makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.

Jewelry
A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line has a regression equation of y = 2.52 x + 1.61.

A necklace contains 88 beads. Based on the information above, which is the best estimate for the cord length?
21 inches
26 inches
34 inches
36 inches

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Jamie has 70 coins. They total $6.30. If they are only dimes and nickels find out how many of each she has.​

Answers

Answer:

Jamie has 14 nickels and 56 dimes

Step-by-step explanation:

Start by identifying labels for the # of dimes and nickles. Lets use x for nickels and y for dimes.

From here you can make two formulas (x + y = 70) and (5x + 10y = 630) when you put them into a graphing calculator they should intersect at (14,56) which means the x = 14 and y = 56

Point A has coordinates (4, -1)
Point B has coordinates (9, 7)
Work out the coordinates of the midpoint of the line AB.

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{7}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 9 + 4}{2}~~~ ,~~~ \cfrac{ 7 -1}{2} \right)\implies \left(\cfrac{13}{2}~~,~~\cfrac{6}{2} \right)\implies \left( 6\frac{1}{2}~~,~~3 \right)[/tex]

Sofia buys a two-gallon bottle of juice for $35.84. what is the unit rate of the cost of the juice per fluid ounce?

how many fluid ounces of juice did sofia buy?

Answers

Answer:

$0.14 per fl oz /// 256 fl oz of juice.

Step-by-step explanation:

The number of fluid oz per gallon = 128

2 gallons = 256 fl oz

$35.84/256= $0.14.

--------------------------------------

1 gallon = 128 fl oz.

128x2 = 256

2 gallons = 256 fl oz.

Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.

Answers

Answer:

Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.

Step-by-step explanation:

(8 x 10) = eight times ten

(6 x 1) = six times one

(2 x 0.1) = two times one-tenth

(7 x 0.001) = seven times one-thousandth

I am not always the best with the equations to words stuff, so please comment if I am wrong!

Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 10,000π in.3

Answers

Answer: H is approximately 3ft (to nearest whole number)

Step-by-step explanation:

250 = π(5)²h

250 = 25×3.14×h

250 = 78.5h

H = 250/78.5h = 3.19

I hope this helps you out love!

5. Solve for x in the parallelogram below.

Answers

Answer:

11

Step-by-step explanation:

42 is also the degree for x so 42+42=84

there are 360 total degrees in a parallelogram

360-84=276

276 is divided by 2 as y and w are the same degrees

138 + 5 to find x and that is 143

143/13 is 11

34+90.672+527x-8x-9z simplify pls

Answers

Answer:

if you want i can make it into typed numbers with no file just tell me in the comments

=================================================================

here is your answer BEST friend  :)

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8. Find the Mean Absolute Deviation of the set: 10, 5, 7, 14, 19, 32, 25​

Answers

Answer: 16

to find the mean you have to add all the numbers up and divide it by how many numbers are in the set

Answer:

[tex] \frac{10 + 5 + 7 + 14 + 19 + 32 + 25}{7} \\ = 16[/tex]

At the grocery store, peaches cost $2.80 per pound. Stacey wants to buy 20 peaches that each weigh 4 oz. How much will Stacey need to pay for the peaches? HINT: There are 16 ounces in 1 pound.​

Answers

Answer:

$14.00

Step-by-step explanation:

So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.

what is (1,3) rotated in 180 degrees?

Answers

Answer:

(-1,-3)

Step-by-step explaintion:

hope this helps!!

btw i just chnaged the x and y sign coordinates, thats all u needa do !!

Which of the following services will be provided by a full-service broker but not by a discount broker? i. research of potential investment opportunities ii. purchase and sale of stock at your request iii. recommendation of investments a. i and iii b. ii only c. iii only d. i, ii, and iii

Answers

The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.

What is a broker?

A broker is a person or company who works as a go-between for an investor and a securities exchange. Securities exchanges only accept orders from people or businesses that are members of the exchange.

The services of a full-service broker include;

1. Look into investment alternatives that may be advantageous.

2. Can trade in stock at a client's request.

The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.

Hence option a ( i and iii ) are correct.

To learn more about brokers refer to the link;

https://brainly.com/question/14094023

Answer:

A

Step-by-step explanation:

100% on edge

A piece of gold has a mass of 14.12 grams and a volume of 4 cubic centimeters. What is the density of the gold?

Answers

Answer:

3.53 g/cm^3.

Step-by-step explanation:

Density = mass/volume

= 14.12/ 4

= 3.53 g/cm^3.

WILL GIVE BRAINLIEST, THANKS, AND 5STARS!
PLEASE HELP ME ANSWER THIS QUESTION

Answers

Answer:

h(.5)= -16(.5)^2 + 50

= 46

A straw forms a cylinder with a length of 270 millimeters and a diameter of 6 millimeters. What is the volume of the straw in cubic millimeters? Round your answer to the nearest hundredth. ​

Answers

The volume of the cylindrical straw of diameter 6 mm and length of 270 mm is 7630.20 mm³

Volume of a cylinder

volume of a cylinder = πr²h

Therefore,

r = radius of the baseh = height of the cylinder

Hence,

radius = r = 6 / 2 = 3 mm

volume of the cylinder = 3.14 × 3² × 270

volume of the cylinder = 3.14 × 9 × 270

volume of the cylinder = 7630.2 mm³

Therefore, the volume of the straw is 7630.2 mm³

learn more on cylinder here: https://brainly.com/question/15723055

#SPJ1

I need help with 5/9 divided by 3/8

Answers

Answer:

40/27 or

1 and 13/27

Step-by-step explanation:

Use Keep-Change-Flip to divide fractions.

Problem:

5/9 ÷ 3/8

KEEP the first fraction, the 5/9, just copy it exactly, no changes.

CHANGE the ÷ to ×

5/9 ×

FLIP the second fraction, the 3/8. Flip it over (reciprocal)

5/9 × 8/3

Now do this problem. You can "cancel" (which is really dividing) or multiply straight across (top×top, bottom×bottom)

5/9 × 8/3

= 40/27

This cannot be reduced. It is a perfectly good answer just like this. But since there is a larger number on top, your teacher/class/book/program, might want you to change it to a mixed number.

40/27 = 1 13/27

Congruent to angle B

Answers

Answer:

-------------------

Step-by-step explanation:

while the other answer is not wrong in this case, it is not complete.

"congruent angle" means the angles are equal.

so, yes, diagonally down is one, but also at exactly the same 2 spots over at the intersection point of the blue line with the second parallel red line.

A cylinder has a volume of 612. If the radious is multiplied by 3, what would the new volume be?​
ANSWER IS NEEDED NOW!!

Answers

Answer:

the new volume is

v = 5508

The product of three and a squared number is twice the sum of the number and four.
A. 3x2 = 2(x+4)
B. (3x)2 = 2(x+4)
C. (3x)2 = 2x +4
D. 3x2 = 2x+4

Answers

Answer:

It B option.

Step-by-step explanation:

I hope it's the right answer.

if 15 mini pizzas cost 25 dollars how much would 25 mini pizzas cost?

Answers

Answer:

41.75

Step-by-step explanation:

First we divide :)

25/15 = 1.67

Now we multiply!!

1.67 x 25 = 41.75

Have an amazing day!!

Please rate and mark brainliest!!

Q. Find the area of the figure. 10 cm2 12 cm2 20 cm2 24 cm2​

Answers

Answer:

[tex]24cm^{2}[/tex]

Hope This Helps! :) Please give Brainliest if it does!

Graph the line with a slope of 2/5 that goes through (3,1)

Answers

Answer:

[tex]y = \dfrac{2x}{5} - \dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)[/tex]

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

→ y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

[tex]:\implies y - 1 = \dfrac{2}{5} (x - 3)[/tex]

Simplify the R.H.S:

[tex]:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}[/tex]

Add 1 both sides:

[tex]:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1[/tex]

Simplify the equation:

[tex]:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}[/tex]

[tex]:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}[/tex]

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [tex][\bold{\frac{-1}{5} }][/tex] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

Pentagon A is rotated 180° about its center and then translated to create pentagon B.

What is the value of x?​

Answers

The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°

What is the translation of plane figures?

A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.

It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.

From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.

Learn more about the translation of plane figures here:

https://brainly.com/question/2467920

A size 8 kid’s shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end to end, then how many inches will they cover?

Answers

Answer:

48 1/3

Step-by-step explanation:

Answer:29/3 x 10 = 290 / 3 = 96 2/3 inches

Step-by-step explanation:

Select the correct answer. Solve the following inequality for x. ​

Answers

Answer:

c. x>1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x

-26 + 13x > -13x

13x + 13x > 26

26x > 26

= x>1

What is the center and radius of the circle?

Answers

Answer:

Center = (5,-3)     radius = sqrt (36) = 6

Step-by-step explanation:

Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6) Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form. Complete the steps to find the sum. What is the sum? –7g4 + 4g3 – 3g2 + 5g – 3 –4g4 – 3g3 + 4g2 + 5g + 3 –4g4 + 4g2 + 14g – 6 –3g4 + 14g – 6

Answers

Answer:

   (b)  –4g^4 – 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.

__

Combine Like Terms

  g^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given

The like terms are the g^2 terms and the constants.

  = (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)

  = 4g^2 +(–4g^4) +5g +3 +(–3g^3)

__

Write in Standard Form

In this form, the terms are written in order of decreasing degree.

  = –4g^4 –3g^3 +4g^2 +5g +3

Answer:

(b)  -4g^4 - 3g^3 + 4g^2 + 5g + 3

Step-by-step explanation:

Ed22

Betty sits 9 feet from the fulcrum and weighs 100 pounds. How far should Ginger sit if she weighs 125
pounds?

Answers

Answer:

7.2 feet

Step-by-step explanation:

Torque is calculated by T=Frsin(theta). Betty's total torque is 9 x 1000 (mg) = 9000. Since ginger weighs 125 pounds, 9000 = (125 x 10) x r. Solve for r and get 7.2 feet.

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