Answer:
A. 251.33 cubic units
Step-by-step explanation:
volume of cone = (1/3) * area of base * height
Since your base is a circle, the area of the base is pi * r^2.
Now we have
volume of cone = (1/3) * pi * r^2 * h
volume of cone = (1/3) * 3.14159 * 4^2 * 15
volume of cone = 251.33 cubic units
Answer:
1/20
Step-by-step explanation:
Karina ate 1/2 of the muffins. Ulysses ate 1/4 of the muffins. Zawanna ate 1/5 of the muffins. Juan ate the rest of the muffins. What fraction of the muffins did Juan eat?
Let the total number of muffins = 1
Hence:
The fraction of muffins Juan ate =
1 - (1/2 + 1/4 + 1/5)
Lowest common denominator is 20
1 - ( 10 + 5 + 4/20)
1 - 19/20
= 1/20
The Fraction of muffins Juan ate is 1/20
Set x equal to the amount of money Kim gets, and y for Molly's money.
x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.
Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.
70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.
140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).
Thus, Laura receives about 36.4% of the total money. Hope this helps (:
Answer:
(11√3)/3
Step-by-step explanation:
In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.
Tan = opposite/adjacent
⇒ Tan 30° = x/11
⇒ 11 · Tan 30° = x
⇒ (11√3)/3 = x
