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NARA
3 months ago
10

Josh needs to cover a rectangular opening of 12 inches × 18 inches with plywood. how much will he need, in square feet, if he wa

nts the cover to extend 3 inches on each of the four sides of the opening?
Mathematics
1 answer:
tester [12.3K]3 months ago
5 0

We understand that

1 foot corresponds to 12 inches.


Step 1

Dimensions of the plywood needed are

(12+3+3) x (18+3+3)------> 18 inches x 24 inches.


Step 2

Convert inches into feet:

18 in-------> 18/12=1.5 ft.

24 in------> 24/12=2 ft.


Step 3

To calculate the area of plywood needed:

A=b*h------> 1.5*2------> A=3 ft².


The final result is

3 ft²

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The solutions to the equation are x=\pm i, x=\pm \sqrt{5}i

Explanation:

Given the equation x^{4}+6 x^{2}+5=0

, we aim to find the solutions of the equation.

Let us use x^{2} =u and x^4=u^2

Thus, the equation transforms into

u^{2}+6 u+5=0

Factoring the equation results in:

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Initially, we will substitute u=-1

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x=\sqrt{-1}

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1 month ago
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. W
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Answer:

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After three periods, it will be 200 (1.05)^3

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Step-by-step explanation:

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