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KengaRu [80]
2 years ago
8

100m world record was completed at an average speed of 37.6 km/h. work out this speed in meters per second?

Mathematics
1 answer:
pickupchik [31]2 years ago
4 0

Step-by-step explanation:

1 km = 1000 m

1 hour = 3600 s

so,

37.6 km = 37,600 m (still per hour or per 3600 s).

in 1 second now that is

37600/3600 = 10.44444444... m/s

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What is the quotient of 2 by 1/2 to 5/8
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If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:

2 1/4 = 9/4

2 1/4 / 5/8 = 9/4 / 5/8 = 9/4 * 8/5 = 18/5 = 3 3/5

The correct result would be 3 3/5.

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3 years ago
Plz help me with this thank you
o-na [289]

Answers:

  • One possible equation to solve is tan(x) = 4/15
  • That solves to roughly 15 degrees

==============================================================

Explanation:

Refer to the diagram below.

The segment AB is the player's height of 6 ft.

The segment CD is the hoop's height, which is 10 ft.

There is a point E on CD such that rectangle BACE forms. This will help us form ED later.

Angle EBD is what we're after, which I'll call x.

Since the free throw line is 15 ft from the basket, this means segments EB and AC are 15 ft each.

In rectangle BACE, the side EC is opposite AB. So both of those sides are 6 ft each.

Since CD = 10 and EC = 6, this must mean ED = CD-EC = 10-6 = 4.

---------------------------------------

To summarize, we found that ED = 4 and EB = 15.

We'll focus our attention entirely on triangle EBD

We have two known legs of the triangle, specifically the opposite and adjacent sides.

So we'll use the tangent ratio.

tan(angle) = opposite/adjacent

tan(B) = ED/EB

tan(x) = 4/15 .... is the equation to solve

x = arctan(4/15) .... same as inverse tangent or \tan^{-1}

x = 14.931417 ..... make sure to be in degree mode

x = 15 ..... rounding to the nearest whole degree

So that unknown angle in the diagram is approximately 15 degrees

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3 years ago
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