Answer:
401.92 in ^2
Step-by-step explanation:
The surface area of a cylinder is
SA = 2 pi r^2 + 2 pi r h
We know the radius is 4 and the height is 12
SA = 2 * (3.14) * (4)^2 + 2 * (3.14)* (4) *12
100.48 + 301.44
401.92
Answer:
y = --0.25x + 1
Step-by-step explanation:
In order to find the equation of a line, you must first find the slope of the line.
The equation to find slope is 
.
Plug in the given points:
(x2, y2) = (-8,3)
(x1, y1) = (-4,2)
(y2 - y1) / (x2 - x1) = (3-1)/ (-8 - -4) = (3-2) / (-8 + 4) = 1/-4 = -0.25
Next, you solve for the y-intercept using one of the two coordinates:
y = -0.25x + b
2 = -0.25(-4) + b
2 = 1 + b
b = 2 - 1 = 1
y = -0.25x + 1
The opposite is a negative so the answer would be -6
Putting equation
0 = -16t² + 36t + 4
<span>0 = -8t² + 18t + 2 ← Complete the square to solve </span>
<span>-8(t² - 9t/2) = -2 </span>
<span>8(t² - 9t/4 + 81/64) = 2 + 81/8 </span>
<span>8(t - 9/8)² = 97/8 </span>
<span>(t - 9/8)² = 97/64 </span>
<span>t -</span><span> (t = 0) </span>
<span> (h = 0) at: </span>
<span>t = (9 + √97)/8 ≅ 2.356 seconds
hope it helps</span>
Answer:
Basketball 300
Football 100
Baseball 50
Soccer 150
Step-by-step explanation:
Half of the students would choose basketball
so 600/2 = 300
Half of the remaining students would choose soccer
so 300/2 = 150
2/3 of the remaining students would choose football
so 150 x 2/3 = 100
1/3 of the remaining students would choose baseball
150 x 1/3 = 50
