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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:
It will take 22 seconds for the thermometer to hit the ground.
Step-by-step explanation:
A thermometer falls from a weather balloon at a height of 7,744 ft.
This means that the initial height is of 7744ft.
h(t) = -16t2 + initial height
So
How many seconds will it take for the thermometer to hit the ground?
This is t for which . So
It will take 22 seconds for the thermometer to hit the ground.