Find the length of the third side of a triangular garden if two sides measure 8 feet and 12 feet and the included angle measures 50°.

≈ 9.197 feet  (rounded to the nearest hundredth)

Step-by-step explanation:

The LAW OF COSINES says:

We can use it to solve problems like this where we need to find a side given two sides and an angle ("SAS").

Let's plug in our givens to this equation:

     you can find cos(50°) in a calculator.

                                                         make sure it's set on degrees and not                                                                   radians.

≈ 9.197 feet

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.