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vodomira [7]
3 years ago
5

A rectangular countertop has a perimeter of 26 feet. its area is 30 square feet. what are the dimensions of the counter?

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0
P=26=2*(l+L)
⇒ l+L=26:2=13 feet
l=3, L=10

A=l*L=30=10*3

⇒ l=3 feet
    L=10 feet
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Step-by-step explanation:

3x - 2 Plug in 4 for x

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Lady bird [3.3K]

By applying the law of sines, the length of side PQ is equal to 7.1 units.

<h3>What is the law of sines?</h3>

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

<h3>How to calculate the length of PQ?</h3>

Mathematically, the law of sines is given by this equation:

\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}

Substituting the given parameters into the formula, we have;

\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691

PQ = 7.1 units.

Read more on law of sines here: brainly.com/question/7922954

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Step-by-step explanation:

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