Answer:
a pyramid is a polyhedron formed by connecting a polygonal base and a point,
Brainlest:)
The answer is 145. I used the other angles as a triangle; I forgot what the theory is called for the easier way. I found out the complementary angle from subtracting <1 from 180. Then I added the new angle and <2 this gives me <4. It would be easier to explain if I remembered what the theory was called. Sorry and hope this helps; this is the answer bye.
Not sure about the second part but
2a+152=252
subtract 152 from both sdies
2a=100
divide both sdies by 2
a=50
Answer:
- radius: 1.84 in
- height: 3.68 in
Step-by-step explanation:
After you've worked a couple of "optimum cylinder" problems, you find that the cylinder with the least surface area for a given volume has a height that is equal to its diameter. So, the volume equation becomes ...
V = πr²·h = 2πr³ = 39 in³
Then the radius is ...
r = ∛(39/(2π)) in ≈ 1.83779 in ≈ 1.84 in
h = 2r = 3.67557 in ≈ 3.68 in
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The total surface area of a cylinder is ...
S = 2πr² + 2πrh
For a given volume, V, this becomes ...
S = 2π(r² +r·(V/(πr²))) = 2πr² +2V/r
The derivative of this with respect to r is ...
S' = 4πr -2V/r²
Setting this to zero and multiplying by r²/2 gives ...
0 = 2πr³ -V
r = ∛(V/(2π)) . . . . . . . . looks a lot like the expression above for r
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If we substitute the equation for V into the equation just above this last one, we have ...
0 = 2πr³ - πr²·h
Dividing by πr² gives ...
0 = 2r - h
h = 2r . . . . . generic solution for cylinder optimization problems
You have to divide to find the nearest square foot. first, think of a multiplication, for example: 5x_=60. you resight the multiplication chart of 5. you founded out it was 12. check if it is 12, use your calculator( or phone, if you dont have a calculator). its correct. so your answer is 12 that is the nearest square foot. .
Hope it helps you in your assignment!
