After taking 7 quizzes, your average is 77 out of 100. what must your average score be on the next five quizzes to increase your average to 82?

89.

Step-by-step explanation:

We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.

The total of 12 quizzes to get 82 would be .

The total scores earned by you in previous 7 quizzes are

The total scores you need to earn on next 5 quizzes would be difference of scores in 12 quizzes and total scores in 7 quizzes as:

Now, we will divide total scores on coming 5 quizzes by 5 to find the average as:

Therefore, your average score on the next five quizzes should be 89 to increase your average to 82.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2