Answer:
x = 3π/4 radians = 135°
Step-by-step explanation:
The area of a sector of central angle α is ...
A = (1/2)r²α
Filling in the given values, we can find the central angle to be ...
54π cm² = (1/2)(12 cm)²x
x = (54π)/(72) = 3/4π . . . . radians
x = 135°
Answer:
Number of years between 1950 and 2100 =

150 = 50 + 50 + 50 years.

So, total population in 2100 is 375,000,000.
Answer:
-3
Step-by-step explanation:
Let x = the number
Then 3x = its triple, and the condition is:
x - 8 < 3x
Subtract x from each side
-8 < 2x
Divide each side by 2
-4 < x
Reverse the inequality
x > -4
The smallest integer greater than -4 is -3.
Check:
-3 - 8 < 3(-3)
-11 < -9
It checks.
-4 + -3 = -7 Hope this helps!
Answer:
Step-by-step explanation:
-x+4y=16
-x=16-4y
x=(16/-1)-(4y/-1)
x=-16+4y