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Valentin [98]
3 years ago
11

The attachment is there

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0

Answer:

Option D: 10.7 is the correct answer.

Step-by-step explanation:

Given that:

Hypotenuse of right triangle = 14

Height of right triangle = 9

Length of missing side = b

We can solve for missing side length by using Pythagorean theorem;

a^2+b^2=c^2

Here,

a = 9 , c = 14

(9)^2+(b)^2=(14)^2\\81+b^2=196\\

Subtracting 81 from both sides

81-81+b^2=196-81\\b^2=115

Taking square root on both sides

\sqrt{b^2}=\sqrt{115}\\b=10.7

The length of missing side is 10.7

Hence,

Option D: 10.7 is the correct answer.

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How to remember nagative exponents how to solve nagative exponents​
marishachu [46]

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

<h3>How are negative exponent calculated?</h3>

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

a^{-n}  = \frac{1}{a^{n} }

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction \frac{3^{-2} }{9^{-2} }

Solution : \frac{3^{-2} }{9^{-2} } =  \frac{9^{2} }{3^{2} }= \frac{81}{9}

= 9

Here, 9 is the answer of the above example.

For more negative exponent related content visit here

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7 0
2 years ago
Frank's car is 12 feet long. Alex's car is 108 inches
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