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Arisa [49]
3 years ago
14

A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 cent

imeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?
Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

difference in volume = 26.96h cm³

Step-by-step explanation:

The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,

volume of a trapezoid prism = area of a trapezium × height

area of the base(trapezoid) = 140 cm²

Volume = 140h

Volume of a cylinder = πr²h

where

r = radius

h = height

volume = πr²h

volume = π × 6² × h

volume = 3.14 × 36 × h

volume = 113.04h

To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.

Recall the height are the same

difference in volume = 140h - 113.04h

difference in volume = 26.96h cm³

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Answer:

(D) -2

Step-by-step explanation:

Plug in r=5 and s=-7 to the equation:

-6(5)+(-7)-(5)(-7)

Now we can solve and simplify:

-30-7+35

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Answer:

(-3,5) ia the answer

Step-by-step explanation:

It is because when you reflect it across the x axis the first coordinate will be negative and the second number is positive since its in the second square of the graph, so it is more of a resonable guess.

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Solving the system of linear equations by graphing
RideAnS [48]
A) y = 2x -4
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A) -2x + y = -4 then multiplying Equation B by 2
B) 2x + 4y = 24

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Okay, that was solved by elimination.
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the graph y= |x| is shifted up by 7 units and to the left 8 units. what is the equation of the new graph?
Marta_Voda [28]
<h3>Answer:</h3>

\large\boxed{y= |x+8| +7}

<h3>Step-by-step explanation:</h3>

in this question, we're trying to find the equation of the new graph.

We know that:

  • The current equation is y= |x|
  • It is shifted up by 7 units
  • Moves to the left by 8 units

With the information above, we can solve the question.

When we shift something up, we would represent it as our "y" variable", due to the fact that it doesn't intervene with x or the x axis.

Your equation should currently look like this:

y= |x| + 7

We also know that the equation moves to the left 8 times.

This is related to the x axis, so we would change what's inside the absolute value.

We know that if is shifted left, we would add. Therefore, we would add 8 inside the absolute value.

Your equation should look like this:

y= |x + 8| + 7

Your final equation should be y= |x + 8| + 7

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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