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trapecia [35]
3 years ago
5

Write an expression that represents the perimeter of the figure below.

Mathematics
1 answer:
Naddik [55]3 years ago
4 0

Answer:

P = 15p - 35

Step-by-step explanation:

Regular means that all sides have the same length

A pentagon has 5 sides

P = 5s

P = 5( 3p -7)

Distribute

P = 15p - 35

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(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the
Kisachek [45]

Answer:

(A) 40 km

(B) 90 km

(C) 180 km²

Step-by-step explanation:

To find the missing side of this triangle, let's use the Pythagorean theorem.

a^2+b^2=c^2, assuming that a and b are legs, and c is the hypotenuse.

Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.

9^2+b^2=41^2\\81+b^2=1681\\b^2=1681-81\\b^2=1600\\\\b = \sqrt{1600} \\b=40

So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.

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The area are the two legs multiplied divided by 2.

So,

\frac{9\cdot40}{2} \\\\\frac{360}{2}\\\\180

So the area of this triangle is 180 cm²

I hope this helped!

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