Answer:
d. 8.38 ft
Step-by-step explanation:
arc(NM) = 180° - 100° = 80° (Angles on a straight line)
Length of arc = θ/360°*2πr
θ = 80°
r = 6 ft
Plug in the values
Length of arc(NM) = 80/360*2*π*6
= 8.3775804
= 8.38 ft
Answer:
60 degrees
Step-by-step explanation:
Hiya. I'm going to rewrite the second equation.
By subtracting 5x by both sides, I'll be able to have y by itself:
-y=-5x+13
I'm going to then divide both sides by -1 to get:
y=5x-13.
Then, I'm going to plug that equation into the first equation
3x+2(5x-13)=39
Factor:
3x+10x-26=39
Combine like terms:
13x=65
Divide both sides by 13 to get x by itself to get x=5
Plug this back into the equation of y=5x-13
y=5(5)-13 to get y=12
3 divided by (4 + n). Hope it helps! :)
Note that 80 is 16*5 and 96 is 16*6. Therefore, their sum is 16*5+16*6=16*(5+6), or 16*11. The sum is 176.