triangle JKM with side j across from angle J, side k across from angle K, and side m across from angle M If ∠K measures 110°, ∠J equals 36°, and k is 70 feet, then find j using the Law of Sines. Round your answer to the nearest tenth.

43.8 feet

Step-by-step explanation:

Given the triangle JKM

We are given the following values:

If ∠K measures 110°, ∠J equals 36°, and k is 70 feet, then find j

The formula for the Law of Sines =

j/sin J = k/sin K

j/ sin 36° = 70/ sin 110

Cross Multiply

j × sin 110° = sin 36° × 70

j = sin 36° × 70/ sin 110

j = 43.78556 feet

Approximately j to the nearest tenth = 43.8 feet

The total interest earned at the end of the year was $ 820, and the interest generated by the total deposited was 10.25%.

Step-by-step explanation:

Given that last year, Manuel deposited $ 7000 into an account that paid 11% interest per year and $ 1000 into an account that paid 5% interest per year, and no withdrawals were made from the accounts, to determine what was the total interest earned at the end of year and what was the percent interest for the total deposited, the following calculations must be performed:

7000 x 0.11 + 1000 x 0.05 = X

770 + 50 = X

820 = X

8000 = 100

820 = X

820 x 100/8000 = X

82,000 / 8,000 = X

10.25 = X

Therefore, the total interest earned at the end of the year was $ 820, and the interest generated by the total deposited was 10.25%.