1. in △xyz , xz=7 , yz=7 , and xy=6 .

what is the area of the triangle?

enter your answer, in simplified radical form, in the box.

units squared

2. the arc length of an arc subtended by an angle measuring 7π18 radians is 24.6 inches.

what is the radius of the arc?

a. approximately 3.0 inches
b. approximately 9.6 inches
c. approximately 19.9 inches
d. approximately 20.1 inches

3. the radius of a circle measures 5 inches. a central angle of the circle measuring 5π12 radians cuts off a sector.

what is the area of the sector?

enter your answer, as a simplified fraction, in the box.
area =
inches squared

4. in △xyz , xz=9 , yz=4 , and m∠z=58∘ .

what is the area of the triangle?

enter your answer, rounded to the nearest tenth of a square unit, in the box.

units squared

5. a spinner used in a board game is divided into 9 equally sized sectors. four of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board.

the total area of the sectors that do not allow the player to move his token is 14.6 inches squared.

what is the radius of the spinner?

enter your answer, rounded to the nearest tenth of an inch, in the box.
r =
inches

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