sanafarghal

12.04.2021 •

Mathematics

F(x) = 3x? 10x + 4 Find f(-4)

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Ответ:

gl648809

21.11.2020

Mathematics

The height of right triangular prism is 7.5 in.

Step-by-step explanation:

The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the base is 10 inches.

The area of a triangle is

$A=\frac{1}{2}\tims base\times height$

$A_1=\frac{1}{2}\tims 6\times 8=24$

Let the height of the prism be h.

Area of a rectangle is

$A=length\times width$

$A_2=6\times h=6h$

$A_3=8\times h=8h$

$A_4=10\times h=10h$

The surface area of a right triangular prism is

$A=2\times \text{Area of base}+\text{Area of three rectangles}$

$A=2\times (A_1)+A_2+A_3+A_4$

$A=2\times (24)+6h+8h+10h$

A=48+24h

The surface area of a right triangular prism is 228 square inches.

228=48+24h

180=24h

h=7.5

Therefore the height of right triangular prism is 7.5 in.

The surface area of a right triangular prism is 228 square inches. the base is a right triangle with

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F(x) = 3x? 10x + 4 Find f(-4)​