Answer: The measure of the complement of angle x=90-x=90-30=60º
Step-by-step explanation:
Answer:
about 26.6 times
Step-by-step explanation:
The circumference of the ball is found from ...
C = 2πr = 2π(4.3 in) ≈ 27.02 in
There are 12 inches per foot, so the 60 foot distance of interest is ...
(60 ft)×(12 in/ft) = 120 in
In terms of ball circumference, that distance is ...
(120 in)/(27.02 in/rotation) ≈ 26.6 rotations
If the ball starts rotating at the foul line, it will turn about 26.6 times before reaching the head pin.
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle KOM
In the triangle KOM
we have
Applying the law of cosines
step 2
Find the measure of the arc KM
we know that
----> by central angle
we have
so
step 3
Find the measure of angle KLM
we know that
The inscribed angle is half that of the arc comprising
we have
substitute