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baherus [9]
2 years ago
10

a pentagon is a regular pentagon that has 5 sides, so each side has the same length that is (x - 1.5)cm. The perimeter is 22.5 c

entimeters. What is the value of x?
Mathematics
1 answer:
Ivanshal [37]2 years ago
8 0

Answer:

Step-by-step explanation:

5(x - 1.5) = 22.5

5x - 7.5 = 22.5

5x = 15

x = 3

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30, 5 , 21

Step-by-step explanation:

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A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5
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An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twic
kiruha [24]

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

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Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

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Let's plug 28/5 into our length equation.

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In conclusion,

Length = 96/5 inches

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4 0
2 years ago
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