We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.
We will use arc length formula to solve our given problem.
, where,
r = Radius of circle,
= Central angle corresponding to arc.
We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.







Upon rounding to nearest hundredth, we will get:

Therefore, the radius of circle H is approximately 63.88 miles.
Answer:
55 miles per hour
Step-by-step explanation:
Given that:
Distance from Mexico to Texas 350 miles
Miles already traveled = 75 miles
Hence, miles left ;
(350 miles - 75 miles) = 275 miles
To complete 275 miles in 5 hours ;
Speed = distance / time
Speed = 275 / 5
Speed = 55 miles per hour
Answer:
18x-16
Step-by-step explanation:
expression: (11x-8)+7(x-1)
ok so what you want to do is combine like terms
but first you are going to distribute
(11x-8)+(7x-8) you distribute the 7
they you can subtract 8 from -8 and that will give you -16
you will then add 11x and 7x which will get you 18x
the final expression will be 18x-16
Answer:
9/10
Step-by-step explanation:
step 1
Compare the slopes



therefore
An experienced skier would like the 9/10 hill slope because it is steeper, while the 1/10 is a softer slope.
Calculating the volume of a cylinder the radius is squared,
If the radius was 8 when 8 is squared you get 64
If the radius is multiplied by 1/2 the radius would become 4, 4 squared is 16
16 / 64 = 1/4
The volume would be 1/4 the original volume, so it would be 4 times smaller.