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lina2011 [118]
3 years ago
10

An isosceles triangle has a perimeter of 36 inches. Its base is 2 1 /2 times longer than each of its legs. What are the lengths

of the sides of the triangle?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

8 in, 8 in and 20 in

Step-by-step explanation:

Let the equal sides of the isosceles triangle be x, then

The base = 2.5x

Sum the 3 sides and equate to the perimeter of 36

x + x + 2.5x = 36

4.5x = 36 ( divide both sides by 4.5 )

x = 8

Thus the 2 equal legs = 8 in

base = 2.5x = 2.5 × 8 = 20 in

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4 0
3 years ago
A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 6t, where t represents t
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Answer:

A)   A[p(t)] = 36πt²

B)   7234.56 square units

Step-by-step explanation:

               

<u>Given functions</u>:

\begin{cases}p(t)=6t \\ A(p)=\pi p^2 \end{cases}

<u>Part A</u>

To find the area of the circle of spilled paint as a function of time, substitute the function p(t) into the given function A(p):

\begin{aligned}A(p) & = \pi p^2\\\\ \implies A[p(t)] & = \pi [p(t)]^2\\& = \pi (6t)^2\\& = \pi 6^2 t^2\\& = 36\pi t^2\end{aligned}

<u>Part B</u>

Given

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Substitute the given values into the equation for A[p(t)} found in part A:

\begin{aligned}A[p(8)] & = 36\pi t^2\\& = 36 \cdot 3.14 \cdot 8^2\\& = 36 \cdot 3.14 \cdot 64\\& = 113.04 \cdot 64\\& = 7234.56\:\: \sf square\:units\end{aligned}

Therefore, the area of spilled paint after 8 minutes if 7234.56 square units.

4 0
2 years ago
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Step-by-step explanation:

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