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earnstyle [38]
3 years ago
14

which of the following formulas would find the lateral area of a right cylinder where h is the height and r is the radius

Mathematics
2 answers:
beks73 [17]3 years ago
8 0

Answer:

thats the correct answer =B

Step-by-step explanation:

vlada-n [284]3 years ago
6 0

Answer:

B. LA=2\pi rh

Step-by-step explanation:

The lateral area of the right cylinder refers to the curved surface area.

The lateral area of the right cylinder does not include the two circular bases.

The lateral area is given by the formula;

LA=2\pi rh

The correct choice is B.

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The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
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w = \frac{p -2l}{2}

Step-by-step explanation:

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A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

8 0
3 years ago
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