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dezoksy [38]
2 years ago
15

jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper

in square inches
Mathematics
1 answer:
skad [1K]2 years ago
4 0
Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
           Width = 10 1/2 or 10.5 inches long
           ? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches. 
Hope this solution helps. 
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Answer:

The answer is:

\bold{c\approx 20.2\ units}

Step-by-step explanation:

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In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

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cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

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a is the side opposite to \angle A

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Putting all the values.

cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units

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\bold{c\approx 20.2\ units}

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