Naysa150724

26.05.2021 •

Mathematics

the base of a triangular prism is an equilateral triangle with sides 24 mm long the height of the prism is 7 mm find the volume of the prism

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Ответ:

emilyleighty07

14.12.2021

Mathematics

$960\ cal$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

x-----> the number of miles

y------> the number of calories

For $x=2\ miles, y=240\ cal$

k=y/x=240/2=120

For $x=3\ miles, y=360\ cal$

k=y/x=360/3=120

For $x=4\ miles, y=480\ cal$

k=y/x=480/4=120

therefore

Is a linear direct variation

The equation is equal to

y=120x

For $x=8\ miles$

Find the value of y

substitute in the equation

$y=120(8)=960\ cal$

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the base of a triangular prism is an equilateral triangle with sides 24 mm long the height of the prism is 7 mm find the volume of the prism ​