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mash [69]
3 years ago
15

The sum of the​ length, width, and height of a rectangular package is 126 inches. If the length is 2 inches longer than five tim

es the height and the width is 2 inches shorter than three times the​ height, what is the volume of the​ package?
Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:

Step-by-step explanation:

The length and the width are based on the height.

height: h

length: 5h + 2

width: 3h - 2

If the sum of those is 126, then:

h + 5h + 2 + 3h - 2 = 126 and

9h = 126 so

h = 14

length is 5(14) + 2 which is 72

width is 3(14) - 2 which is 40

The volume is found by multiplying the length times the width times the height:

14 * 72 * 40 = 40,320 inches cubed

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Answer:

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Step-by-step explanation:

Solve for the slope.

<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (8 , -2)

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Plug in the corresponding numbers to the corresponding variables:

<em>m </em>= (7 - (-2))/(0 - 8)

<em>m</em> = (7 + 2)/(0 - 8)

<em>m</em> = 9/-8

Your slope is -(9/8)

Solve for the y-intercept. Plug in your slope into the slope intercept form:

y = mx + b

Let:

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Plug in the corresponding numbers to the corresponding variables:

7 = -(9/8)(0) + b

Simplify:

7 = (-9/8 * 0) + b

7 = (0) + b

b = 7

Your y-intercept is 7.

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Please Help! One Question!
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Here we don't know the length of the hypo, but do have measures of both legs of this right triangle:  x and 40 yd.

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