Answer:
The radius of the pie is 6.17 in.
Step-by-step explanation:
The formula for arc length as a function of radius is
s = r·Ф, where Ф is the central angle in radians.
Here we know that the arc length is 7.85 in. Assuming that the whole pie has been cut into 8 equal pieces, the central angle of one such piece is
2π / 8, or π /4 (radians).
thus, s = r·Ф, solved for r, is r = s/Ф
and in this instance r = (7.85 in)/(π/4). Evaluating this, we get:
r = 6.17 in
The radius of the pie is 6.17 in.
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
<em>subtract the negative 3 from the 5</em>
2a + 7
P = 2a + b
10= 2a + 3
2a = 10-3
a = 7/2 = 3.5
Therefore, numerical value of a is 3.5
Answer:
1325/10000
Explain Step By Step Answer
Answer: Option d.
Step-by-step explanation:
The trigonometric identity needed is:
Knowing that 
:
Substitute it into :
Simplify the expression:
Solve for 
. Apply square root at both sides of the expression:
