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Bogdan [553]
3 years ago
6

The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side

length?
Write the equation to solve the problem.


Solve for x


Find the side of the triangle
Mathematics
1 answer:
Sedbober [7]3 years ago
8 0

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

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3 years ago
What is the height of the cone if its volune is 8,138.88 feet CUBED? Use 3.14 for pi. (Radius of base of cone is 12 ft)
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Answer:

h = 54 feet

Step-by-step explanation:

The equation for the volume of a cone is V = \frac{1}{3} × π × r² × h.

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When you plug everything you know into the equation, you get:

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After you multiply everything on the right side, you come out with:

8,138.88 = 150.72 × h

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