The surface area of a right triangular prism is 228 square inches. 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 bae is 10 inches. Find the height of the prism.Please help meeeee!!!!!!

Answers

Answer 1

Answer:

Answer:

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

$A=(1)/(2)\tims base* height$

$A_1=(1)/(2)\tims 6* 8=24$

Let the height of the prism be h.

Area of a rectangle is

$A=length* width$

$A_2=6* h=6h$

$A_3=8* h=8h$

$A_4=10* h=10h$

The surface area of a right triangular prism is

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

$A=2* (A_1)+A_2+A_3+A_4$

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

$A=48+24h$

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.

Answer 2

Answer: $look\ at\ the\ picture\n\nArea=228\ in^2\n\nArea=2A_1+A_2+A_3+A_4\n\n2A_1=2\cdot(6\cdot8)/(2)=48\ (in^2)\n\nA_2=8H\n\nA_3=6H\n\nA_4=10H$

$48+8H+6H+10H=228\n\n48+24H=228\ \ \ /-48\n\n24H=180\ \ \ /:24\n\nH=7.5\ (in)$

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Each part of a race is 1/10 mile marker finished 5 parts of the race how far did Marshall race

Answers

A half mile bc 1/10•5 = 5/10& thats 1/2

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A new truck costs $32,000. The car’s value will depreciate over time, which means it will lose value. For tax purposes, depreciation is usually calculated linearly. If the truck is worth $24,500 after three years, write an explicit formula for the value of the car after n years.

Answers

Answer:

v = -2500*n + 32000

Step-by-step explanation:

Depreciation is usually calculated linearly, means that it follows the following equation (equation of a line):

v = a*n + b

where n is time after truck was new (in years), v is value of the truck (in $), and a and b are some constants.

A new truck costs $32,000, that is, when n = 0, v = 32000. Replacing into the equation:

32000 = a*0 + b

32000 = b

The truck is worth $24,500 after three years , that is, n = 3, v = 24500. Replacing into the equation:

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What is the rate of this graph

Answers

Answer: slope = -3/2

Explanation

Two points on the diagonal line are (0,0) and (4,-6).

To go from (0,0) to (4,-6) we do two things:

Go down 6
Go right 4

"Down 6, right 4" means the slope is -6/4 = -3/2

We could also use the slope formula to get the same answer.

$(x_1,y_1) = (0,0) \text{ and } (x_2,y_2) = (4,-6)\n\nm = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\n\nm = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\n\nm = (-6 - 0)/(4 - 0)\n\nm = (-6)/(4)\n\nm = -(3)/(2)\n\n$