9. The radius of a circle is 6.
1 answer:
Answer:
12,5.196
Step-by-step explanation:
given that the radius of a circle is 6.
We have any tangent drawn from outside point there will be two tangents of equal length and also the line joining point of intersection of tangent with centre of circle will bisect the angle between the tangents.
When angle between the two tangents is 60, we have the right triangle formed by radius, one tangent, and line joining point of intersection of tangent with centre of circle with angles 30,60 and 90
Hence the hypotenuse = length of line segment of tangent = 2 (radius) = 12
Part 2:
When angle between tangents is 120, we have 60,30,90 right triangle and hence length of tangent = radius * sin 60
=
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Answer:
42.43 ft
Step-by-step explanation:
Please find attached an image of the softball pitch
h² = p² + f² -2x p×f×cos45
h² = 43² + 60² - 2x (43)(60) x 0.7071
h² = 1849 + 3600 - 3648.636
h² = 1800.364
h = √1800.364
h = 42.43 feet
Answer:
After 2 seconds
Step-by-step explanation:
First step is find an equation of velocity:
h(t)=-16t2+64t+112. The velocity function is derivated from position function, so we should do that.
v(t)= h´(t)= -16*2*t+64 ⇒ v(t)= -32t+64.
Now we know the arrow reach the maximun height when this velocity is equal to zero when t>0.
0=-32t+64 ⇒ 32t=64, split each member for 32 ⇒ =
t=2. That means after 2 sec. the arrow reach the maximum height