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nlexa [21]
3 years ago
10

A square has an area of 144 in^2. What is the length, to the nearest inch, of the diagonal?

Mathematics
1 answer:
zysi [14]3 years ago
4 0

The length of the diagonal is 17 in

Explanation:

The area of the square = 144 \ in^2

The formula for area of the square is given by

 A=a^{2}

144=a^{2}

 12=a

The sides of the square are 12 inches.

The length of the diagonal of a square can be determined using the Pythagorean theorem.

Let d be the diagonal of the square.

Thus, we have,

$12^{2}+12^{2}=d^{2}$

144+144=d^{2}$

      \sqrt{288} =d

      16.97=d

Rounding off to the nearest inch, we get,

d=17 \ in

Thus, the length of the diagonal is 17 in

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klemol [59]
In this question, let us first note down all the important information's that have been provided in the question.
The number of people that Adam is cooking for = 14
Amount of turkey required per person = 3/4 pounds
Now
Total amount of turkey required by Adam to cook for 14 people = (3/4) * 14
                                                                                                     = 21/2
So 21/2 pound of turkey is required by Adam to cook for 14 people. This weight of turkey has to be converted to gram first and then to kilogram.
We already know
1 lb = 450 g
Then
21/2 lb = 450 * (21/2) gram
            = 225 * 21
            = 4721 gram
Now again we know
1000 g = 1 kg
4721 gm = (4721/1000) kg
               = 4.721 kg
So Adam needs to have a turkey weighing 4.721 gram to cook for the 14 people. I hope the procedure is clear to you.
3 0
3 years ago
Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9
Tpy6a [65]
ANSWER

D.
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EXPLANATION

The given function is

f(x) = 3 \sin(x - 4) + 9

Comparing to the general form of a trigonometric sine function,

f(x) = A \sin(Bx-C)+D

A=3
The amplitude is absolute value of A

|A| = |3| = 3

B=1

The period is given by

p = \frac{2\pi}{ B}

p = \frac{2\pi}{ 1} = 2\pi

C=4

is a shift to the right of 4 units.

and

D=9

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D
6 0
3 years ago
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Arte-miy333 [17]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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vredina [299]

Answer:

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Step-by-step explanation:

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