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Rzqust [24]
1 year ago
7

Urgent!!!

Mathematics
1 answer:
natita [175]1 year ago
3 0

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

<h3>How to determine the speed of travel?</h3>

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

x = \sqrt{3^2 + 6^2}

Evaluate the exponents

x = \sqrt{9 + 36}

Evaluate the sum

x = \sqrt{45}

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

<h3>How to determine the direction of travel?</h3>

The direction (∅) is calculated using the following tangent ratio.

\tan(\theta) = \frac 36

Evaluate the quotient

\tan(\theta) = 0.5

Take the arc tan of both sides

\theta = \tan^{_1}(0.5)

Evaluate

\theta = 27

Hence, Lyra's direction of travel is 27 degrees north of east

Read more about speed and distance at:

brainly.com/question/4931057

#SPJ1

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2 years ago
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Greg is volunteering at a track meet. He is in charge of providing the bottled water. Greg knows these facts:
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Answer: There are 819 fewer number of cases of water bottle that all athlete, all coaches and all judges will get.

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Number of coaches = 7

Number of judges = 4

Number of bottles given to each athlete each day = 4

Total number of bottles total athlete for 3 days will get is given by

117\times 4\times 3\\\\=1404

Number of bottles given to each coach each day = 3

Total number of bottles total coach for 3 days will get is given by

7\times 3\times 3\\\\=63

Number of bottles given to each judge each day = 2

Total number of bottles total judge for 3 days will get is given by

4\times 3\times 2\\\\=24

Number of cases of water bottle is given to athletes is given by

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Number of cases of water bottle is given to coaches is given by

\frac{63}{24}

Number of cases of water bottle is given to judges is given by

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We need to find the fewer number of cases that all athlete , all coaches and all judges will get

\text{L.C.M. of }\frac{1404}{24},\frac{63}{24},\frac{24}{24}\\\\=\frac{L.C.M.\ of\ 1404,63,24}{H.C.F.\ of\ 24,24,24}\\\\=\frac{19656}{24}\\\\=819

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