Please HELP!!! I will give 23 points!! Answer the following questions. Please answer correctly!!! Thanks!
1 answer:
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Answer:
The value of b is 12.9 cm
The value of a is 15.3 cm
Step-by-step explanation:
see the attached figure to better understand the problem
<em>Find the value of b</em>
we know that
in the right triangle ABC
The function sine of angle of 40 degrees is equal to divide the opposite side to the angle of 40 degrees (AC) by the hypotenuse (AB)
so
Solve for AC
substitute the given value
therefore
The value of b is 12.9 cm
<em>Find the value of a</em>
we know that
in the right triangle ABC
The function cosine of angle of 40 degrees is equal to divide the adjacent side to the angle of 40 degrees (BC) by the hypotenuse (AB)
so
Solve for BC
substitute the given value
therefore
The value of a is 15.3 cm
The population of the country in 1990 is 249.5 million
<u>Step-by-step explanation</u>:
- Let 'x' be the population in 1990.
- The population in 2015 is 321.9 million.
The increase in x by 29% = 321.910^6
(since x is 100% and increase of 29% will be 129%)
129% of x = 321.910^6
1.29x = 321.910^6
x = 321.910^6/1.29
x = 249.510^6
x = 249.5 million.
∴ The population of the country in 1990 is 249.5 million