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sashaice [31]
3 years ago
9

An oak tree cast a shadow of 14 feet. A 30 foot flagpole casts a shadow of 60 how tall the Oak tree?

Mathematics
1 answer:
Alina [70]3 years ago
5 0

Answer:

7 feet

Step-by-step explanation:

Oak tree = x

14 : x  as  60 : 30

Simplify the right ratio

14 : x  as 2:1

Get the same first number in both ratios by multiplying 2:1 by 7

14 : x  as 2(7) + 1(7)

14 : x as 14 : 7

Since the first number in each ratio is the same, we know that that x and 7 are equal

x = 7

Hope this helps, feel free to let me know if you would like a further explanation :)

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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}

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

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