First, determine the area of the whole circle by the equation, A = πr². Substituting,
A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
Answer:A) 1.5
Step-by-step explanation: Bob runs at the rate of 8mins per mile
In 60mins his rate would be=60/8=7.5
Let a be the distance he further runs south
2s+3.25
Total distance covered in 50mins=Time=distance/speed=
50/60
50/60=2s +3.25/7.5
Cross multiply
60(2s+3.25)=50×7.5
120s+195=375
120s=375-195
S=180/120
S=1.5
Answer:
x=3, y=0.8
Step-by-step explanation:
8x+5y=28
4x+5y=16
Subtract the second simultaneous equation from the first.
You are left with: 4x=12
12/4=3
x=3
Substitute this back into one of the equations.
8(3)+5y=28
8*3=24
28-24=4
4=5y
4/5=0.8
y=0.8
Answer:
x = -8 and BDC is 68 degrees.
Step-by-step explanation:
Combine -7x+12 and -8x+48 to get -15x+60. Since BDA is a straight angle put the above equation to get -15x+60=180. Subtract 60 from both sides to get -15x=120. Divide -15 both sides to get -8 as your x value. Plug in -8 to BDC, since both negatives are being multiplied, it would turn to a positive number which is 56, add 12 to get 68 as your final result for BDC.
