Given:
Arc length = 8 inches
radius = 3 inches
find the measure of the central angle.
Arc length = radius * central angle
central angle = arc length / radius
central angle = 8 inches / 3 inches
central angle = 2.667 (radian)
Central angle in degrees = 152.88°
Circumference of the circle = 2 * 3.14 * 3 inches = 18.84 inches
1 circle = 360° / 18.84 inches = 19.11° per inch
19.11° per inches * 8 inches of arc length = 152.88°
Answer:
48 ounces
Step-by-step explanation:
16 ounces per pound
3 x 16 = 48 ounces
Answer:
4 × ( 9 + 2z)
Step-by-step explanation:
36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor
= 4 × ( 9 + 2z)
we can also write it like this
36 + 8z = 2 × ( 18 + 4z)
A is incorrect. The identity is for the Sin( A - B). It is not for the Cos(A - B)
B is closer, but NOT the answer. The sign in the middle is incorrect, for one thing. For another Cos(pi/2) = 0,, so the answer would be cos(theta) using this formula.
C The sign is correct in C. The problem is that it is the wrong formula for Cos(theta - pi/2). C should go
Cos(theta - pi/2) = cos(theta) cos(pi/2) + sin(theta)*sin(pi/2)
D. Looks like it's the correct answer. See the comment for C: The identity for C is actually correct for D.
Cos(theta)cos(pi/2) = 0 because cos(pi/2) =0
Sin(theta)*sin(pi/2) = Sin(theta) because Sin(pi/2) = 1
Answer D <<<<<< answer.
