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GenaCL600 [577]
3 years ago
10

Find the perimeter of an ellipse if the major axis is 30 millimeters (mm) and the minor axis is 12 mm. Round off your answer to

the nearest whole number A. 49 mm B.72 mm C. 28 mm D. 283 mm
Mathematics
1 answer:
DENIUS [597]3 years ago
3 0
The perimeter of an ellipse is given by:
 P = (2 * pi) * root ((a ^ 2 + b ^ 2) / 2)
 Where,
 a: semi-major axis
 b: Semi-minor axis
 Substituting the values we have:
 P = (2 * 3.14) * root (((30/2) ^ 2 + (12/2) ^ 2) / 2)
 P = 71.74058266
 Round off to the nearest whole number
 P = 72 mm
 Answer:
 
B.72 mm
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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

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