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torisob [31]
3 years ago
7

Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:

Mathematics
1 answer:
Ilya [14]3 years ago
8 0

Answer:

give a explanatio

Step-by-step explanation:

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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
sveta [45]

Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0
2 years ago
The length of a rectangle is 2 units shorter than one-fifth of the width, x.
Nataly [62]

perimeter = 2L+2w

from the problem L = 1/5w-2

so perimeter = 2(1/5w-2) +2w

= 2/5w-4 +2w

=12/5w-4


without seeing your choices it should be similar to this

7 0
3 years ago
Read 2 more answers
I need help I mark as Brainliesit just please HELP ME RIGHT NOW THIS IS PAST AND NO ONE HASED HELP ME WITH THESE 1-7 QUESTION! y
Luden [163]

Answer:

dang I'm sorry I'm only in middle school but dang that's a lot

4 0
3 years ago
Nadia finds out her favorite horse family population is increasing at a constant rate. The horse family was at 24 in 2011 and is
pogonyaev

Answer:

The equation is p = (8/3) t + 24

In 2020, we will have about 48 horses.

Step-by-step explanation:

In 3 years  the family increased by 32 - 24 = 8.

So the  constant of proportionality = 8/3.

The required equation is p = (8/3)tx + 24

where p = the population and t is the number of years after 2011.

So in 2020 we can predict that in 2020 the number of horses

=  (8/3) * 9 + 24

= 72/3 + 24

= 24 + 24

= 48.

4 0
2 years ago
What numbers go into 49 42 and 21
Ilia_Sergeevich [38]

7 is the only number that goes into all of em

7 0
2 years ago
Read 2 more answers
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