Answer:
8 π .
Step-by-step explanation:
radius increases at a constant rate of 1 in/sec.
dr / dt = 1
where r is radius .
radius after 4 sec
r = 1 x 4 = 4 in
area A = π r²
differentiating both sides
dA / dt = 2 π r dr / dt
Putting dr / dt = 1 , r = 4 in
dA / dt = 2 π x 4 x 1
= 8 π sq in per sec.
Area increases at the rate of 8 π per sec.
Answer:
parallel
Step-by-step explanation:
find the slope of each line
Line 1 (5-2)/(-4-2) = 3/-6 =-1/2
Line 2 (-4--9)/(-6-4)= 5/-10 = -1/2
Answer:
Equation: (2x + 30) + 106 = 180
x = 22°
Step-by-step explanation:
<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>
180 - (33 + 41) = missing angle
180 - 74 = missing angle
<u>106</u>°<u> = missing angle</u>
Now we can set up our equation to solve for x:
(2x + 30) + missing angle = 180°
<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>
Now let's solve:
2x + 30 + 106 = 180°
2x + 136 = 180
2x = 180 - 136
2x = 44
x = 44/2
<u>x = 22°</u>
Hope this helps!
Answer:
D. 34 servings.
Step-by-step explanation:
1 gallon is 8 pints.
4.25 gallons * 8 pints = 34 servings of 1 pint each.
Hope this helps!
Answer:
a in this equation would be 3/4 because...
Step-by-step explanation:
2/3a−1/6=1/3
2/3a+−1/6=1/3
2/3a+−1/6+1/6=1/3+1/6
2/3a=1/2
Multiply both sides by 3/2.
(3/2)*(2/3a)=(3/2)*(1/2)
a=3/4
Hope this helps!
