Answer:
1055.04 cm³
Step-by-step explanation:
Given that,
Height of a cylinder, h = 16 cm
Radius of the cylinder, r = 5 cm
The height of a cone, h' = 12 cm
The radius of a cone, r' = 4 cm
The volume of the cylinder will be :
The volume of a cone is given by :
Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³
Hence, the required answer is equal to 1055.04 cm³.
Answer:
A) (-infinity, -7]U[-2, -1]
B) [-7, -5]
C) [-5, -2]U[-1, infinity)
Answer: the first term of the series is 128
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of term in the sequence.
a represents the first term in the sequence.
r represents the common ratio.
From the information given,
r = 1/4 = 0.25
n = 4
S4 = 170
Therefore, the expression for the sum of the 4 terms, S4 is
170 = a(1 - 0.25^4)/(1 - 0.25)
170 = a(1 - 0.00390625)/(1 - 0.25)
170 = a(0.99609375)/(0.75)
170 = 1.328125a
a = 170/1.328125
a = 128
14:3 can be written as 14/3...and this does not simplify
Answer: Choice D
In two games, the team lost to the opponent by 1 goal.
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Explanation:
Negative scores indicate the team lost, and the absolute value of those values represent how much of a loss.
So a difference of -1 means the team lost by 1 point.
We have 2 dots over this value, so there are 2 occasions where the team lost to the opponent by 1 goal.
An example would be that say the team scored 3 goals and the opponent scored 4 goals. So we have a differential of 3-4 = -1. The order is important because we would <u>not</u> say 4-3 = 1.
