Length of arc = (15/360) * 2*3.14*20 = 5.23 ins
circumference of the circle = 2*3.14*24 = 150.72
angle at center from 10 ft arc = (10/150.72) * 360 = 23.89 degrees
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
sin²x + 7cosx + 17
=1 - cos²x + 7cosx + 17
= - cos²x + 7cosx + 18 ← factor out - 1 from each term
= - (cos²x - 7cosx - 18)
Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)
The factors are - 9 and + 2, thus
= - (cosx - 9)(cosx + 2) ← in factored form
Answer:
30 tens
90 is the greatest number of tens
Answer:
Step-by-step explanation:
If you are always included to lead, that leaves 10 students to choose from.
If all that is important is being selected, then there are 10C3 = 120 ways to choose them.
If each selection has a unique duty, then there are 10P3 = 720 ways to assign them their jobs.
Use the point-slope formula
y-y1=m(x-x1)
y-1=-3(x-1)
y-1=-3x+3
y=-3x+4
