Answer:
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Step-by-step explanation:
Recall :
V1 = volume of cylinder = πr²h
V2 = volume of a cone = 1/3πr²h
From the diagram, both have height, h of 12
Radius = r
V1 = 2512 in
V2 = 1256 in
From the ratio :
2512 = πr² * 12
1256 = 1/3πr² * 12
12 cancel out as well as r² and π
If the bases have the same area `, then 2512 should be equal to (1256 * 3)
2512 in ≠ 3868 in
A straight line is 180°. See the obtuse angle with the "155°"? There is straight line that starts at the "8)" and goes to the "?". Therefor, that 155° you see can be subtracted from 180. 180-155=25, which means the very acute angle in the triangle is 25<span>°. The three angles in a triangle have to equal 180, and you already have 60 and 25. 60+25 is 85. 180-85 is 95. This means that the bottom right angle within the triangle is 95. Well, if you know angle rules, then you'll know that angle "?" is also 95, because it is perpendicular to the bottom right angle within the triangle. :) Hoped this helped! Sorry I took so long to write it... I had to go to the store before I could finish xD</span>
lateral surface area of this cylinder is 1584/7 or 226.28...cm square.
Answer:
Step-by-step explanation:
Domain= All real numbers. To get this answer i just plug the x-values into the quadratic formula to get the y-output.
Maximum area=1323/8
Range= y<= 1323/8
Answer:
-13
Step-by-step explanation:
We remove the -4 by adding 4 to each side:
3y = -43 + 4
Now we simplify to give:
3y = -39
So now we divide both sides by 3 to give our answer of:
y = -39/3
y = -13
We can substitute this into the original equation to check our answer:
-4 + 3(-13) = -43
-4 + -39 = -43
✅
