Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
Your answer is:
2n-4
Step by step:
(n+8)+(n-12)
Rewrite and remove the parentheses
n+8+n-12
Calculate
Therefore your solution is:
2n-4
Answer:
(15/2, -5/2)
Step-by-step explanation:
1. Sub x=5y+20 into 2x+2y=10 and simplify as shown below.
2(5y+20)+2y=10
10y+40+2y=10
12y+40=10
12y=-30
y=-30/12
y=-5/2
2. Sub in y=-5/2 into 2x+2y=10 to find x and simplify as shown below.
2x+2(-5/2)=10
2x-5=10
2x=15
x=15/2
