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Brrunno [24]
3 years ago
12

What is the surface area of a rectangular prism with a length of 14 feet, width of 7 feet, and height of 8 feet?​

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

A  =  532 ft^2 total

Step-by-step explanation:

There are 3 sets of 2 identical areas:  2 top/bottom, 2 sides, 2 ends.

Suppose the length is 14 ft, the width 7 ft and the height 8 ft.

A =  2 * (base area) + 2 * (end area) + 2 (side area)

   = 2 * (98 ft^2)       + 2 * (56 ft^2)     + 2 (112 ft^2)

   = 196 ft^2 + 112 ft^2 + 224 ft^2

A  =  532 ft^2 total

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Answer:

1. About 1/5 chance that Mary is chosen

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Step-by-step explanation:

1.  If you do proportions, a female's chance comes to 1/5 and a male's chance comes to 1/7.

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Step-by-step explanation:

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3 years ago
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8 0
2 years ago
Which of the following expressions is a factor of the polynomial x 2 +3/2x-1
Elodia [21]

Answer:

\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }

Step-by-step explanation:

Hello,

let's solve

x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\

\Delta=b^2-4ac=9+4*2*2=9+16=25

There are two solutions

x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}

And

x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}

So we can write

x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})

Hope this helps.

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