Answer:
<h2>L.A. = 384 cm²</h2><h2>S.A. = 640 cm²</h2>
Step-by-step explanation:
Lateral Area:
We have four congruent triangles with base b = 16cm and height h = 12cm.
The formula of an area of a traingle:
Substitute:
Surface Area:
In the base we have the square with side s = 16cm. The formula of an area of a square:
Substitute:
So Volume of cylinder is pi*r^2*h = 1,000
Then lightest one means you have the smallest surface area. Which is one base and then the area of the surface. SA = pi*r^2 + 2pi*r*h
So now you have 2 equations, so:
h = 1,000/(pi*r^2)
So then SA = pi*r^2 + 2pi*r*(1,000/(pi*r^2) = pi*r^2 + 2,000/r
Derivative of SA is then 2pi*r -2,000/r^2. Set to 0
2pi*r-2,000/r^2 =0 --> 2pi*r^3 = 2,000 --> r^3 = 1,000/pi --> r = 10/pi^(1/3)
Now go back to the volume function: pi*r^2*h =1,000 --> 1,000/(pi*100/pi^(2/3)) = h
<span>h = 10 / pi^(1/3)</span>
Answer:
D. Y=-3/2x-3
Step-by-step explanation:
(0,-3)
-3=-2/3(0)+b
-3=b
y=-3/2x+3 parallel slope is -3/2
Y=-3/2x-3
Answer:
b. =8.5+1.96*3/SQRT(45), and =8.5-1.96*3/SQRT(45)
Step-by-step explanation:
Sample size (n) = 45
Sample mean (M) = 8.5 minutes
Variance (V) = 9 minutes
Z-score for a 95% confidence interval (z) = 1.96
A confidence interval is defined by the following expression:
Applying the given data:
Writing in Excel statements, the limits of the interval would be
=8.5+1.96*3/SQRT(45), and =8.5-1.96*3/SQRT(45)
Therefore, the answer is alternative b.
<span>Ans = A. From 0 to 200 at intervals of 50
Please Read Explanation
first point has y-value of ~ 50
second point : ~100
third point : ~150
fourth point : ~200
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