We have been given that a 208-yard-long road is divided into 16 parts of equal length.
Let us find length of each part.
Length of each part will be 13 yards.
We are told that Mr. Ward paints a 4-yard-long strip in each part.
Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.
Therefore, length of each unpainted strip will be 9 yards.
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.