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Aleksandr-060686 [28]
3 years ago
15

Solve the right triangle shown in the figure. B = 16.9°, b = 30.5

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

A=73.1

a=100.387

c=√ 11007.799769

Step-by-step explanation:

A=180-90+16.9=73.1

Tan(16.9)=30.5/a

=100.387

a^2+b^2=c^2

100.387^2+ 30.5^2=c^2

c=√ 11007.799769

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In a typical children's soccer game, there is one goal scored approximately every 18 minutes. The number of goals scored follows
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Answer:

2.24

Step-by-step explanation:

The probability formula using a Poisson distribution is:

P(k\ events) = \frac{\lambda^{k}e^{-\lambda}}{k!} \\\lambda\ is\ the\ average\ number\ of\ events\ per\ interval \\e\ is\ euler's\ number \\k\ is\ the\ number\ of\ events\ you\ want\ to\ calculate

λ = 90 / 18 = 5 average goals per interval (interval = a game)

So if for example you were interested in the probability of making 2 goals in a game

k = 2

P(k = 2) = \frac{5^{2}e^{-5}}{2!} = 0.084

This was just an example,

The standard deviation is \sqrt{\lambda}

\sigma = \sqrt{\lambda} \\\sigma = \sqrt{5} \\\sigma = 2.24

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3 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if
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Step-by-step explanation:

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What is the approximate surface area of the sphere 16yd?
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314.159 and 5 radius r
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A circle has a radius of 3 feet. Use 3.14 for π, and drag and drop the correct answers for each problem below.
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if a rug was 5 times as long as thia record sheet, how long would it be? measure the length of this record sheet in centimeters.
vlada-n [284]

<u>Answer: </u>

If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter

<u>Solution: </u>

Given that a rug was 5 times than the record sheet.

Let assume the length of the record sheet = x units

Then from given information,

Length of the rug = 5x units

Conversion of measure of record sheet in centimeter completely depends upon in which unit the length is given.

Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is

x meter = x \times 100 = 100x cm

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