Jake has 900 cm³ of material. He uses 14.5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4.
How much more material does Jake need in order to make the second prism?

Select from the drop-down menu to correctly complete the statement.

Jake needs an additional (13.5, 28, 42.5)
cm³ of material to make the second prism.

Answers

Answer 1

Jake needs an additional 42.5 cm³ of material to make the second prism.

Amount of material available

Since Jake has 900 cm³ of material and he uses 14.5 cm³ to make a right triangular prism. The amount of material available to make the second prism is V = 900 cm³ - 14.5 cm³

= 885.5 cm³

Scale factor

Now, the second prism is gotten by ditaion of the first prism by a factor of 4.

Since we have volume, (scale  factor)³ = volume of second prism/volue of first prism

Volume of second prism

So, volume of second prism, V' = (scale factor)³ × volume of first prism = 4³ × 14.5 cm³ = 928 cm³

Amount of material more needed

So, the amount of material more needed to make the second prism is V"' = V' - V = 928 cm³ - 885.5 cm³

= 42.5 cm³

So, Jake needs an additional 42.5 cm³ of material to make the second prism.

Learn more about amount of material here:

https://brainly.com/question/26671861

Answer 2

Answer:

42.5 cm³ for K12


Related Questions

giving brainliest!!!!!

Answers

Answer:

5.(4,6) 6. (2,9) 7. (0,4)

1-4 i dont know

1. The x axis is the horizontal line
2. The y axis is the vertical line.
4. 1,5 is the first square… 4,6 is the second.. and 5,1 is the third

Can you please give me an answer and explain it if you can

Answers

Answer:

6 x 10 = 60 x 2 = 120

10 x 10 = 100

120 + 100 = 220

thats my guess im not sure what its asking lol

Rebecca had these results when she drew 10 tiles from the bag. The bag has a total of 20 tiles. Her classmates got similar results. What is a good predication for the number of green and red tiles out of 20?

Answers

Answer:

10/20

Step-by-step explanation:

if she has 20 in total and there's only two colours I would assume it's an even chance,

For example a coin has two sides, = even chance of getting each side.

Good luck hope this helped

15 green 5 red that’s my prediction

Jonathan and Shaneeka both get paid an equal hourly wage of $12 per hour. This week, Jonathan earned an additional $54 as a bonus. To calculate the total earnings for both Jonathan and Shaneeka, 4 expressions are written in which J represents the number of hours Jonathan worked, and S represents the number of hours Shaneeka worked.



Which expression is not correct?

A. Expression 1

B. Expression 2

C. Expression 3

D. Expression 4

Answers

Answer is c because both are working $12 and hour so 12s and 12j then j gets $54 extra so 54j

Which net below forms a rectangular prism?

Answers

I think that it is a.
it’s A. it can be folded to form a rectangular prism

can some one please help me?

Answers

Answer:

here's a tip: (use the equation to get the triangle area/length, then find the surface area of the entire thing). Anyways, I think the answer might be ether 268m squared or 853m squared.

Step-by-step explanation:

Hope this helps you!

Answer:

402.62

Step-by-step explanation:

4*22=88

7.21*22=158.62

6*22=132

2((6*4)/2)=24

add them all up=402.62

1+1 (FYI It's a Riddle)

Answers

Answer:

2?

Step-by-step explanation:

1?
If you think about it-

brainliest if it is right

Answers

Answer:

hi

Step-by-step explanation:

1.) D has the largest circumference, because it’s diameter is the largest with 100 inches.
2.) B has the smallest circumference because it has a diameter of 20 inches.

I think these are right, I solved for the circumference to be sure.

Solved = a) 301 b) 62 c) 75 d) 314

Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. (Use 3.14 for pi.)

Answers

V = 4/3 x pi x r³

V = 4/3 x 3,14 x 2³ = 33,50 in³

A triangle has one side that is 4 centimeters long and one that is 9 centimeters long. The third side is a whole number of centimeters. What is the longest possible third side?

Answers

Answer:

  12 cm

Step-by-step explanation:

You want the longest possible integer length of the third side of a triangle with sides 4 cm and 9 cm.

Triangle inequality

The triangle inequality requires the longest side be less than the sum of the other two sides:

  x < 9 cm + 4 cm

  x < 13 cm

The largest integer length less than 13 cm is 12 cm.

The longest possible third side is 12 cm.

<95141404393>

Pls Help 20 Points
The question is "What is the probability, as a percent, of a boy taking art and geometry?" Also it's not blurry and if you wish to say something, please comment it under the "ask about Question" part

Answers

i think the answer would be 33%                                                              

Answer may be 30%



Be free to Ask more questions:))

The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000 . What is the difference in the populations of the cities when t=4 ?

Answers

Answer:

The difference in the populations of the cities when t=4 is 25,800.

Step-by-step explanation:

Given equations each of the city:

-150t+50,000

and

50t+75,000

To find the difference between the population when t=4, we first have to solve both equation when t=4.

For both equations, substitute 4 into t:

-150(4) + 50,000 = 49,400

50(4) + 75,000 = 75,200

Now subtract 49,400 from 75,200 and you get 25,800.

The difference in the populations of the cities when t=4 is 25,800.

50t+34 t=4 is accelerating

A gallon of stain covers approximately 50 square feet of a wooden tabletop. Magaly has purchase 6 gallons of stain. Select all tabletop sizes that Magaly could fully cover if she must apply 3 coats to the porch.

A. 25 x 4
B. 2 x 60
C. 5 x 20
D. 10 x 10

Answers

Answer:

a c d

Step-by-step explanation:

all of them are 100 except b so isk what you want hope that helps

Answer:

D

Step-by-step explanation:

I am pretty sure it is going to be D sorry if I am wrong

can someone please help me​

Answers

Answer:

40

Step-by-step explanation:

Two ways we can solve this problem:

1. Graphically

2. Mathematically

Because you already solved it graphically, I will show you how to do so mathematically. Of course, graphically is much much easier and more efficient in this problem.

Let's break the problem down.

First, we are given a graph which contains a slope.

To find slope, we use the technique -> rise/run

Picking 2 obvious points from the graph, we can see

1st point -> (10, 20)

2nd point -> (40, 80)

Now, let's find the slope

[tex]\frac{80-20}{40-10} = \frac{60}{30} = 2[/tex]

Now, we have an equation y = 2x, where y = number of pies and x = cups of sugar

We want to find how many cups of sugar we need to bake 80 pies. Simply substitute 80 = number of pies = y

y = 2x -> 80 = 2x

Solving for x, divide both sides by 2

40 = x

We need 40 cups of sugar.

Sandra bought 4 pounds of sweet potatoes for $5.36. What is the cost per pound of
the sweet potatoes?
A. $0.75
B. $1.34
C. $1.26
D. $9.36

Answers

The answer is b because if you multiply 1.34 times 4 that would get you 5.36

Answer:

B. $1.34

Step-by-step explanation:

5.36 ÷ 4

=536×1/4×1/100

=536/400

=1.34

if you were to roll the dice one time what is the probability it will land on a 1?

Answers

Answer:

1/6

Step-by-step explanation:

A dice contains 6 faces, the probability of the dice landing on 1 is 1/6 because it has only 1 face which contains the number 1.

each time you roll a dice there is a 1/6 chance of getting a 1

Hello, Again i need help again

Answers

Answer :  = -16

hope it helped! :)

:D

What are the first two steps of drawing a triangle that has all side lengths equal to 12 centimeters?
Select from the drop-down menus to correctly complete the statements.

Draw a segment (6, 12, 24) centimeters long. Then from one endpoint, draw a (30, 60, 90) ° angle.

Answers

Answer:

All the sides should be 4 cm.

Step-by-step explanation:

The first triangle rule is the two sides should be greater than the longest side when added together.

For example- 4+4=8 which is bigger than 4

12 divided by 3 is 4.

Hope this helps.

Answer:

Step-by-step explanation:

Remark

All triangles have 180 degrees.

In order that all sides be 12cm long, you need to draw a base line that goes on for more than 12 cm.

Mark off the (using a ruler) a line that is 12 cm from one of the line written about.

From that same endpoint, draw an angle that is 60o. Draw a line going 60 degrees from your first line.

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

Just to finish the triangle, go to the other end of the 12 cm line. Draw another 60 degree angle. Make it so that it will intersect the second line you drew.\

Diagram first 2 steps

Jaylah started with $200 in her savings account to go to Disneyland. She wanted to increase her savings so she started babysitting. She earns $10 an hour and deposits it in her savings account. What is Jaylah's initial value and rate of change?

Answers

Answer:

Initial Value= $200, Rate of Change= $10 per hour (or just $10)

Step-by-step explanation:

The initial value is what Jaylah started with, and in this case, she starts with $200.

The rate of change is how much Jaylah earns, in this case per hour. It says that she earns $10 an hour, so the rate of change is $10.

∆ABC ˜∆EFG – Why is the notation written in a specific order?

Answers

Answer:because it shows how the shape on the right is the same as the one on the left, just after being enlarged

Step-by-step explanation:

(1d) Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches less than the length of a piece of blue ribbon. How long is the BLUE ribbon if the length of the RED ribbon is 12 inches? *

Answers

Answer:

19 inches

Step-by-step explanation:

Since the blue ribbon needs to be 7 inches longer than the red ribbon, add 7 to 12 to get 19 inches total.

Hopefully this helps- let me know if you have any questions!

Hey there!

Let's make an equation 28evbar01

=> Convert word problem into equation

7 - x = 12

x = 12 + 7

x = 19

Therefore, Blue ribbon is 19 inches

hope this helps

please mark me brainiest

Please help!!! it will mean alot :/

Answers

Answer:

Answwe is 44

Step-by-step explanation:

that the answer

answer is 44 cuz it appears the most

A tent has a triangular shaped net over the door. Jelena needs to sew a new net for the door. What is the minimum amount of material needed if the triangle has a height of 52 inches and a base of 60 inches?

1560 square inches

112.5 square inches

3120 square inches

112 square inches

Answers

Answer:

3120 square inches

Step-by-step explanation:

Answer:

1560 square inches

Step-by-step explanation:

52*60/2

Height*Length/2

1560 square inches

Please help! simplify the expression:

Answers

-20a-28 I believe is the answer!
You first distribute 7 into -2a-4, which gets -6a-14a-28. You then combine like terms -6a and -14a, to get -20a-28 which you cannot combine anymore!
Hopefully that’s correct :3
The answer is 3 the guy above me shows how to do it

Angle math Hw. Pls help

Answers

Answer:

x = 45°

Step-by-step explanation:

We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)

⇒ x + 115 = 160

⇒ x = 160 - 115

⇒ x = 45°

Learn more about vertically opposite angles: https://brainly.com/question/68367

Image:
X=45 I hope this helps you out .

A small container is shaped like this hexagonal prism. The prism has a base area of 7.85 cm².

What is the volume of the container?

Enter your answer as a decimal in the box.

cm³

Answers

Answer:

31.4

Step-by-step explanation:

I reaally hope this helps you

31.4 have a great day :)

YOU GET Brainliest IF YOUR RIGHT!!!!!!! HELPPPP

Answers

The common dominator of 6 and 10 is 2 because 2 is the only number that can fit inside 6 and 10. Hope this helps.

Answer:

3/10 is greater. and the bottom part is 30

Step-by-step explanation:

because 1/6= 0.2 and 3/10=0.3.

0.2>0.3 therefore 3/10 is greater.

and to find the common denominator you just have to list out the number of  and 10.

6,12,18,24,30

10,20,30

as you can see 30 is the common denominator.

Please help me


A triangle with vertices A(2, -2), B(-1, -1) and C(0, 2) is reflected across the y-axis and then dilated by a factor of 3 with the origin as the center of dilation.
What is the x-coordinate of the A''?
-2
2
-6
-4

Answers

Answer:C-6

Step-by-step explanation:(2,-2) reflected over X would be (-2,2). Then dilate by 3 which you multiply by 3. So -2 x 3 = -6.  

Hope it helps !

WILL CHOOSE BRAINLIEST!!!

Answers

The answer is C. You would reflect it and then count over the 5 and it lines up perfectly!

Answer:

C

Step-by-step explanation:

as the line is flipped from AB to BA, so it must be reflected in the x-axis and as then count the boxes left from the reflected line to the final BA line and you will get 5

online note taking is weird please help

Answers

Answer:

25% off the entire purchase is better and will save you money over the 40% off

Step-by-step explanation:

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