Answer:
≈ 18.8 cm
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
The central angle is equal to the arc subtending it, that is 60°
arc = 2πr × 
= 2π × 18 × 
= 36π × 
= 6π ≈ 18.8 cm ( to 1 dec. place )
The missing part is the number
<u>Given</u>:
Given that the measure of ∠CDR = 85°
We need to determine the measure of
and 
<u>Measure of arc RC:</u>
Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.
Thus, we have;

Substituting the values, we get;

Thus, the measure of
is 85°
<u>Measure of arc CBR:</u>
We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.
Thus, we have;

Substituting the values, we have;


Thus, the measure of
is 275°
Answer:
Whitney can bring <u>6 friends.</u>
Step-by-step explanation:
The reason why is this:
Whitney is bringing 400 pounds of things plus <u>her own body weight! </u>
400 + 165 = 565 pounds
Now we add on Whitneys freinds which is <u>165 (their body weight) + the 10 pounds of gear which equals 175 pounds. So each friend would be 175 pounds total weight. </u>
175 x 6 = 1,050 pounds
If we add on Whitneys total weight thats:
565 + 1,050 = 1,615
<u>Adding on another friend would be 1,790 pounds which would be over the weight limit for the vehicle. </u>
Hence, Whitney can bring along 6 friends for her birthday.
<em>Hope this helped! :)</em>