The height of the cone, to the nearest whole number is: 6 inches.
<h3>What is the Volume of a Cone?</h3>
Volume of cone = 1/3(πr²h)
r is radius and h is the height of the cone.
Given:
Volume of cone = 66 in.³
Diameter = 6.5 in.
Radius (r) = 6.5/2 = 3.25 in.
Height (h) = ?
Plug in the values
66 = 1/3(π)(3.25²)(h)
66 = 11.1h
66/11.1 = h
h = 6 in.
Therefore, the height of the cone, to the nearest whole number is: 6 inches.
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Answer: I think that the answer is 1,944 I think
Step-by-step explanation: 216 x 3 = 1,944
Answer: Angles 4 and 5
Step-by-step explanation:
Supplementary angles are angles that add up to 180. The only angle pairs the add up to 180 (you can tell by seeing if two angles are the only two on a straight line) are angles 4 and 5, and angles 3 and 4. Angles 3 and 4 isn’t an option, so it’s 4 and 5.
Answer:
There can be 14,040,000 different passwords
Step-by-step explanation:
Number of permutations to order 3 letters and 2 numbers (total 5)
(AAANN, AANNA,AANAN,...)
= 5! / (3! 2!)
= 120 / (6*2)
= 10
For each permutation, the three distinct (English) letters can be arranged in
26!/(26-3)! = 26!/23! = 26*25*24 = 15600 ways
For each permutation, the two distinct digits can be arranged in
10!/(10-2)! = 10!/8! = 10*9 = 90 ways.
So the total number of distinct passwords is the product of all three permutations,
N = 10 * 15600 * 90 = 14,040,000