What is the measure of angel A?

Mathematics

1 answer:

Rudiy272 years ago

6 0

Answer:

12.68°

Step-by-step explanation:

We know all three sides (18, 80, 82), but we only need two: 18, and 82. Why? What we do here is find the arcsin of the first leg divided by the hypotenuse.

arcsin(18/82)

18/82 is the same as 9/41, which equals 0.21951 repeating (all 5 digits after the decimal are repeating, by the way).

arcsin(0.21951)

What you see above this statement equals 0.22131 radians.

0.22131 rad

To convert this to degrees, multiply by 57.2957795.

0.22131 * 57.2957795

0.22131 times 57.2957795 is 12.680128961145.

12.680128961145°

The directions say the final answer has to be two decimal places. So this becomes 12.68 (0 is less than 5, so round down).

12.68°

Angle A is 12.68°.

You might be interested in

Sam's problem: The median number of 2, 18, 3, 22, 5 is 10. Your solution: Was Sam correct? Select the reason from the selections

Mumz [18]

Answer:

It's not, the Median is 5 the mean is 10!

Step-by-step explanation:

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

3 0

2 years ago

Rock-music sales represented 24.8% of the total music sales in 2000. By 2007, rock-music sales represented 32.4% of the total mu

baherus [9]

Answer:

Unit Rate of Change = 1.27%

Step-by-step explanation:

In 2000, t=1 and Total Music sales = 24.8%

In 2007, t=7 and Total Music sales = 32.4%

The Slope $m=\dfrac{32.4-24.8}{7-1} =\dfrac{7.6}{6}=1.27\%$