Find side AC and round your answer to the nearest hundredth, help please.

Mathematics

1 answer:

PIT_PIT [208]3 years ago

8 0

Answer:

Step-by-step explanation:

Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:

$tan(70)=\frac{?}{3}$ and

3tan(70) = ? so

? = 8.24

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Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*

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Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% $\cdot35$ .

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, $\frac{5}{100}$ . Multiplying by 35 gets us $\frac{5}{100}\cdot35$

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is $\frac{5}{100}$ . This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.<u>0</u><u>5</u>

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us $0.05\cdot35$ , so choice D works too.