That is a correct answer.
A circle has a general formula for area as:
A = (θ / 360°) * π * r^2
So when we are to look for the area of the circle, the θ
= 360° and the factor (θ / 360°) is simply equals to 1 and is removed from the
formula. However in this case, we are to find for the area of a portion of a
circle, specifically a sector.
It is given that the radius is 6 m and the central angle
intercepted by this sector is 3 / 4 radians. As we can see in the formula, the
angle θ is expressed in degrees, therefore we need to convert the central angle
first into degrees.
Central angle θ = (3 / 4 rad) (180° / π rad)
Central angle θ = (135/π)°
So the area of the sector is:
A sector = (135/π / 360) * π *
(6 m)^2
A sector = 13.5 m^2
Answer:
Step-by-step explanation:
<u>Solve each inequality and find the common set:</u>
- 2x - 5 > - 11 ⇒ 2x > 5 - 11 ⇒ 2x > - 6 ⇒ x > - 3
- -10x - 6 ≥ 44 ⇒ - 10x ≥ 6 + 44 ⇒ - 10x ≥ 50 ⇒ x ≤ - 5
<u>Solution interval:</u>
There is no solution to system to show on the number line
Answer:
18.6
Step-by-step explanation:
We are given that

We have to find the value of k.
Divide by 32 on both sides then we get


Taking ln on both sides then we get







Hence, the value of k=18.6