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Oxana [17]
3 years ago
15

Question

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

378 Cubic feet

Step-by-step explanation:

Given a rectangular prism shaped shed:

Area of the floor of the shed = 63 square feet.

Let the width of the shed=w

The length of the shed is 2  feet greater than the width.

Therefore: Length =w+2

Base Area = Length X Width

So: w(w+2)=63

w^2+2w-63=0\\w^2+9w-7w-63=0\\w(w+9)-7(w+9)=0\\(w-7)(w+9)=0\\w=7 ft, w\neq -9

Width =7ft

Length =9 ft

The height is 1 foot less than the width.

Height =7-1=6 ft

Volume of a rectangular prism = Base Area X Height

=63 X 6

=378 cubic feet

Therefore, the volume of the shed is 378 cubic feet.

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meriva

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The probability is 0.8

Step-by-step explanation:

The key to answering this question is considering the fact that the two married employees be treated as a single unit.

Now what this means is that we would be having 8 desks to assign.

Mathematically, the number of ways to assign 8 desks to 8 employees is equal to 8!

Now, the number of ways the couple can interchange their desks is just 2 ways

Thus, the number of ways to assign desks such that the couple has adjacent desks is 2(8!)

The number of ways to assign desks among all six employees randomly is 9!

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This means that the probability that the couple have non adjacent desks is 1-2/9 = 7/9 = 0.77778

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3 years ago
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The straight line ON has the following equation :
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3 years ago
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Answer:

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Step-by-step explanation:

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