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Mandarinka [93]

2 years ago

10

A camper ties a rope from a tree to the ground to help build a shelter. The rope is 8 feet long, and it is tied 6 feet up the tr

ee. How far from the tree is the rope anchored to the ground? Use the Pythagorean theorem to the find the answer. WILL GIVE BRAINLIEST

1 answer:

Alexandra [31]2 years ago

7 0

C=8
B=6
A=?
C^2=b^2+a^2
8^2=6^2+a^2
It is the square root of 28

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2 years ago

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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

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y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

$d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

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Notice both equations gave the same length $4\sqrt{17}$ .

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