Answer:
Step-by-step explanation:
it is 25 
Answer:
Area shaded portion = 16/3 π - 8√3
Step-by-step explanation:
The shaded portion consists of 2 equal segment
∵ Two circles have the same radii = 4
∵ The the length of the common chord of the two circles = 4
∴ The central angle of each segment = π/3 (60° equilateral Δ)
∵ Area segment = area sector - area Δ
∵ Area sector = 1/2 r²Ф = 1/2 × (4)² × π/3 = 8/3 π
∵ Area Δ = 1/4 s² √3 = 1/4 × (4)² × √3 = 4√3
∴ Area segment = 8/3 π - 4√3
∴ Area shaded portion = 2(8/3 π - 4√3) = 16/3 π - 8√3
Answer:
6 4/11
Step-by-step explanation:
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
