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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
Mathematics
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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Answer:

[(2)^√3]^√3 = 8

Step-by-step explanation:

Hi there!

Let´s write the expression:

[(2)^√3]^√3

Now, let´s write the square roots as fractional exponents (√3 = 3^1/2):

[(2)^(3^1/2)]^(3^1/2)

Let´s apply the following exponents property: (xᵃ)ᵇ = xᵃᵇ and multiply the exponents:

(2)^(3^1/2 · 3^1/2)

Apply the following property of exponents: xᵃ · xᵇ = xᵃ⁺ᵇ

(2)^(3^(1/2 + 1/2)) =2^3¹ = 2³ = 8

Then the expression can be written as:

[(2)^√3]^√3 = 8

Have a nice day!

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Step-by-step explanation:

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