Answer:
The central angle measure of the sector in radians is 
.
Step-by-step explanation:
A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.
The area of a sector when the central angle is in radians is given by
where
r = radius
θ = central angle in radians
We know that the area of the sector is 
and the radius is 6 cm. Applying the above formula and solving for the central angle (
) we get that
Answer:
-3
Step-by-step explanation:
X+-4x=3
Answer:
9/4
Step-by-step explanation:
1 2/7=9/7
2 1/3=7/3
--------------
9/7+7/3x+3/14+x=9
18/14+3/14+7/3x+3/3x=9
21/14+10/3x=9
10/3x=9-21/14
10/3x=9-3/2
10/3x=18/2-3/2
10/3x=15/2
x=(15/2)/(10/3)
x=(15/2)(3/10)
x=45/20
simplify
x=9/4
Answer:
21.9°
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.
We solve this above question using the Sine rule
a/sin A = b/sin B
In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.
Hence:
HI/∠J = JH/∠H
= 8/sin 90° = 1.9/sin ∠H
Cross Multiply
∠H = arc sin(sin 1.9 × 90/8)
∠H = 21.9°
