Answer:
<u>312π square inches</u>
Step-by-step explanation:
The surface area of a cylinder is the area of <u>both its bases and its lateral area added together. </u>
The area of a circle is <u>pi times the radius squared.</u> The radius in this case would be 6, half of the 12 inch diameter. 6 squared is 36, making one base 36π inches squared. Multiply that by two to get the area of both bases; 73π inches squared.
The lateral area of a cylinder is the <u>circumference of the base multiplied by the height of the cylinder. </u>Circumference being <u>pi times the diameter,</u> it would be equal to 12π. Multiply that by the height to get 240π.
Then <u>add the two values together</u> to get 312π, the final answer.
Answer:
EASY PEASY
Step-by-step explanation:
(5x-5)=(4x+10){being corresponding angles}
solve it now by arranging like
5x-4x=10+5
done
and the second is co-interior
Answer:
(x = -6), (y = -6)
(-6,-6)
Step-by-step explanation:
X=-6
3x - 2y = -6
3(-6) - 2y = -6
-18 - 2y = -6
What you do to one side, you do to the other. And when you take it over to the other side, you'll have to turn -18 into a positive 18.
-2y = 18 - 6
-2y = 12
Divide both sides by -2
y = -6
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
<em />
Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Hello there.
<span>There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?
Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
Since there are 24 , multiply 3 by 24.
3 x 24 = 72.
The number of people that could be fed from the 24 pizzas is 72.
Hope This Helps You!
Good Luck Studying ^-^</span>
