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3 years ago

Which expression could be used to find the volume of the prism below?

Mathematics

1 answer:

Minchanka [31]3 years ago

7 0

Answer:

I think its either C or D but im not very sure.

Step-by-step explanation:

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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical

denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= $20 \times 9.8 \times 1 = 196 J$

Work done by the mat do to stop the fall of the cylinder = $-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J$

Work done= $\text{Average force} \times \text{ Compression of mat}$

$208=F \times 0.06$

F=3467J

8 0

3 years ago

a certain test is worth 135 points. how many points (rounded to the nearest point) are needed to obtain a score of 85%?

yanalaym [24]

To obtain a score of 85% on a test worth 135 points, one needs to get 115 points. By using proportions, we get the required value.

<h3>How to write proportions?</h3>

A proportion is defined as an equality between two ratios.

Consider two ratios a:b and c:d. Then, the proportion we can write,

a: b = c : d

Then, the simplification we have for this proportion is

a/b = c/d or ad = bc

<h3>Calculation:</h3>

It is given that, a certain test is worth 135 points.

One to get 85% on this test, he/she needs to get X number of points.

So, we can write the proportions as

X : 135 = 85 : 100

⇒ X/135 = 85/100

⇒ X = 85/100 × 135

∴ X = 114.75 ≅ 115 points

Learn more about proportions at the following link:

brainly.com/question/140018

#SPJ4

7 0

7 months ago

How many american dollars can be cxchanged by NRs100000

balandron [24]

Answer:

877.1929824561 dollars

Step-by-step explanation:

100000÷114= 877.1929824561 dollars

hope it helps!

4 0

2 years ago

Evaluate each function.<br> 1) f(x) = x2 + 4x; Find f(-7)

katrin [286]

Answer:

The answer is -77

Step-by-step explanation:

Ok, so assuming by x2 you mean x squared, I will solve this. So basically when you have a function, f(-7) would mean that you would have to replace all the x's in the equation with -7. So let's write that out. that would be f(-7) = -7^2 + (-7*4). So now according to PEMDAS, you would solve the exponent first, and -7^2 is equal to -49, because when you solve it you would do -(7^2), which is -(49), which is then -49. So now you have f(-7)= -49+ (4*-7). Solving for (4*-7), you get -28. This leaves you with -49 + (-28), which is -49 - 28. Simplifying that, you get the answer, which is -77.

5 0

2 years ago

What is the solution of the system? Use elimination. <br><br> 5x-6y=-32<br> 3x+6y=48

vampirchik [111]

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

7 0

2 years ago

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