Answer:
x = 31 degrees
Step-by-step explanation:
180 - 149 = 31
Hope this helps!
Answer:
d) x = 72°
Step-by-step explanation:
Corresponding Angles: The pair of angles formed on the same side of traversal which crosses two parallel lines is called a pair of corresponding angles.
These angles are EQUAL to each other.
Now, here in the given figure:
The two below lines are parallel to each other.
Also, the line crossing it on the right side forms a traversal.
So angle x and angle with 72 degrees form a pair of Corresponding Angles.
⇒ x = 72°
Hence the measure of angle x = 72°
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>
<span> the </span>factors<span> 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 = </span>576<span>. bc when u mulpile them all they make that answer
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