3 years ago

Express the volume of each cube as a monomial m It's a cube with 4r^3s help

Mathematics

1 answer:

mart [117]3 years ago

8 0

What is the answer for 4r3s and how do you slove it

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A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

Bogdan [553]

Answer:

$\displaystyle A=\frac{3h^2}{2}+h$

Step-by-step explanation:

Area of trapezoid

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

$\displaystyle A=\frac{b_1+b_2}{2}\cdot h$

The dulcimer has the following dimensions

$b_1=2h+1$

$b_2=h+1$

and height h

Thus

$\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h$

Operating

$\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h$

$\boxed{A=\frac{3h^2}{2}+h}$

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