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pshichka [43]
1 year ago
13

If g = 77 cm and h = 85 cm, what is the length of f?

Mathematics
1 answer:
Otrada [13]1 year ago
7 0
Using the the Pythagorean theorem, the answer is C. 115 cm

Here's how you solve it:
(77^2)+(85^2) = f^2
5929+7225 <span>= f^2
13154 </span><span>= f^2
f = </span>√<span>13154
f = 114.69
f </span><span>≈ 115</span>
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Step-by-step explanation:

Given expression is,

2\left(\log_3\left(8\right)+\log_3\left(z\right)\right)-\log_3\left(3^4-7^2\right)

Now using logarithmic rule to solve the expression as follows,

Applying product rule of logarithmic,

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Therefore,

2\log_3\left(8z\right)-\log_3\left(3^4-7^2\right)

Applying power rule of logarithmic,

a\log_c\left(b\right)=\log_c\left(b^a\right)

Therefore,

\log_3\left(\left(8z\right)^2\right)-\log_3\left(3^4-7^2\right)

\log_3\left(\left(64z^2\right)\right)-\log_3\left(3^4-7^2\right)

Applying quotient rule of logarithmic,

\log_c\left(a\right)-\log_c\left(b\right)=\log_c\left(\frac{a}{b}\right)

Therefore,

\log_3\left(\dfrac{\left(64z^2\right)^2}{3^4-7^2}\right)

Simplifying,

\log_3\left(\dfrac{\left(64z^2\right)^2}{81-49}\right)

\log_3\left(\dfrac{\left(64z^2\right)^2}{32}\right)

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Therefore value of expression is \log_3\left(2z^2\right)

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