What is the measure of angel C? Enter your answer as a decimal. Round only your final answer to the nearest hundredth.
m

36.90

Step-by-step explanation:

We can use SOH CAH TOA (sine, cosine, and tangent) to solve this problem.

SOH- means Opposite over Hypotenuse

CAH- means Adjacent over Hypotenuse

TOA- mean Opposite over Adjacent

U can use either one of these to solve this problem, I will be using sine SOH (sine).

sine C = 3/5

sine ^-1 3 divided by 5 =36.8698

So, angle C = 36.8698 and rounded to the nearest hundred is 36.90

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.