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shutvik [7]
3 years ago
14

Work out the area of 5e parallelogram

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0

Answer: The area is 268 cm squared (approximately)

Step-by-step explanation: The area of a parallelogram is given as ;

Area = b x h

Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;

Sin 79 = opposite/hypotenuse

Sin 79 = h/13

By cross multiplication we now have

Sin 79 x 13 = h

0.9816 x 13 = h

12.76 = h

With the vertical height now known, we can calculate the area as follows

Area = b x h

Area = 21 x 12.76

Area = 267.96 cm squared

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For this case we must find the product of the following expression:

\sqrt [3] {5} * \sqrt {2}

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\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

We rewrite the expression using the lowest common index of 6, then:

5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =

We rewrite the terms in an equivalent way:

5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =

We rewrite the expression using the property mentioned:

\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =

We combine using the product rule for radicals:

\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}

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Answer:

Devin will donate <u>$67.5</u> to charity.

Step-by-step explanation:

Given:

Devin made 30 custom t-shirts to sell.

He will donate 1/8 0f his total sales to a local charity.

He sold all 30 t-shirts for $18 each.

Now, to find the amount Devin donate to charity.

Total number of t-shirts = 30.

Each t-shirts sold at = $18.

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Therefore, Devin will donate $67.5 to charity.

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4 years ago
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