Daily Math Practice Challenge: Preparing for the ACT Exam-DAY 8

6. For the triangle shown below, what is tan,∠A ?

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Correct Answer:G

7. Hoshi is building a circular pond in a square section of her backyard. The square section measures 20 feet on each side. The pond touches all 4 sides of the square section. Approximately what is the total area, in square feet, of the region inside this square section but outside the circular pond?

A. 86
B. 126
C. 314
D. 337
E. 714

Correct Answer:A

Use the following information to answer questions 8 – 10.

Consider the function f(t) = −10t² + 20t + 80, graphed in the coordinate plane below.

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8. What is the value of f(−10) ?

F. −1,280
G. −1,120
H. −720
J. −10
K. 80

Correct Answer:G

9. Which of the following is the set of all possible values of t for which f(t) is defined?

A. {t: t ≥ 4}
B. {t: t ≥ −2}
C. {t: t ≤ 90}
D. {t: −2 ≤ t ≤ 4}
E. {t: t is any real number}

Correct Answer:E

10. In order to obtain the graph of a new function, g(t), the graph of f(t) is translated 2 units to the right and then reflected over the x-axis. The point (1,90) on the graph of f(t) corresponds to what point on the graph of g(t) ?

F. (3,−90)
G. (−3, 90)
H. (−1,−90)
J. (−1, 90)
K. (90, 3)

Correct Answer:F

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