Pls pls I just need the equation to this thank you so much!

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

i. First biker = 17.0 km

ii. Second biker = 20.22 km

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

Thus,

a. To determine the distance of the first biker from the parking lot.

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

[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]

   = 64 + 225

   = 289

x = [tex]\sqrt{289}[/tex]

  = 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

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

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

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

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

[tex]x^{2}[/tex] = 289 + 120

   = 409

x = [tex]\sqrt{409}[/tex]

 = 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

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

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Answer:

1. 37.5

2. 8

Step-by-step explanation:

1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.

this means that 16/46 = 20/(x+20)

then, just solve that for x

16/46 = 20/(x+20)

divide both sides by 4

4/46 = 5/(x+20)

multiply both sides by (x + 20)

(x+20) * 4/46 = 5

multiply both sides by 46

4x + 80 = 230

subtract 80

4x = 150

divide 4

x = 37.5

2. do the same thing ( still similar triangles)

the equation would be (3x + 1)/10 = (7x - 1)/22

solve

22(3x + 1) = 10(7x - 1)

66x + 22 = 70x - 10

32 = 4x

x = 8

Answer:

Which Restaurant and aquarium

Step-by-step explanation:

If you tell the name I can answer it

Answer:

  15π/2 ft

Step-by-step explanation:

Arc length is given by the formula ...

  s = rθ . . . . . r = radius; θ = central angle in radians

A 135° arc has a radian measure of (135)(π/180) = 3π/4. The radius of a circle with a 20 ft diameter is (20 ft/2) = 10 ft. So, the arc length is ...

  s = (10 ft)(3π/4) = 30π/4 ft = 15π/2 ft

Answer:

y=-4x+16

Step-by-step explanation:

5x+1.25=20

y=4x

5x+1.25y=20       y=4x

1.25y=-5x+20

1.25y/1.25=-5x+20/1.25

Answer:

The value of 14(n+1) is 112.

Step-by-step explanation:

14n=98

n=98/14

n=7

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

14(n+1)=14(7+1)=14(8)=112

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

Answer:

Olivia's puppy is linear i know this because after applying to the graph i got a straight line.

Step-by-step explanation:

Answer:

When looking at the table you can see that for every increase of 1 in the x value it results in an increase of 1 in the y value. The rate of change is constant.

Rate of change is calculated by the change in y/change in x

For the points (1,2), (3,3) and (5,4) the rate of change calculation would be as follows:

(1, 2)(3, 3)

3-2 / 3-1= 1/2

(3, 3)(5, 4)

4-3 / 5-3= 1/2

Since both equal 1/2 the rate of change is constant therefore making it linear.

Step-by-step explanation:

Answer:

assuming its dividing by two, 7.8135

Step-by-step explanation:

if you're dividing by something else the answer will be different. hope this helps

Answer:

71.8

Step-by-step explanation:

The required angles from smallest to largest are m<M < m<L < m<K

Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)

Get the measure of KL, KM and LM using the distance formula as shown:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]

For the length KL with coordinate points K(-2,-2), L(2, 6)

[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]

For the length KM with coordinate points K(-2,-2), M(7, -2)

[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]

The length LM with coordinate points L(2,6), M(7, -2)

[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]

From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K

Learn more on distances between two points here: https://brainly.com/question/23848540

Answer:

do you have any image of the question? If yes please pose here.

Answer:

See below:

Step-by-step explanation:

I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.

Answer:

a) 4cd²

b) 3a²b³

Step-by-step explanation:

a) 8c⁴d⁵/2c³d³

1: you would divide the 8 by 2

2: subtract the exponents on c so it would be 4-3 = 1

3: subtract the exponents on d so it would br 5-3 = 2

4: put it all together so it would be 4c¹d² but you dont need the 1 above c

b) 1: divide 9 by 3

2: subtract exponents on a so it would be 3-1 = 2

3: subtract exponents on b so it would be 5-2 = 3

4: put it all together so it would be 3a²b³

hope this helped!! :)

                              Answer:

a.   4cd²       b.  3a²b³

Step-by-step explanation:

        [tex]\frac{8c^4d^5}{2c^3d^3}[/tex]

 =    [tex]\frac{8}{2} ( \frac{c^4}{c^3} )(\frac{d^5}{d^3})[/tex]  

  =     [tex]\frac{4}{1} (\frac{c}{1}) (\frac{d^2}{1} )[/tex]    Reduce number.  Substract exponent largest power

                           smallest power  

   =   4cd²  

b.    [tex]\frac{9a^3b^5}{3ab^2}[/tex]

        [tex]\frac{9}{3} (\frac{a^3}{a} ) (\frac{b^5}{b^2} )[/tex]

        [tex]\frac{3}{1} (\frac{a^2}{1}) (\frac{b^3}{1} )[/tex]       Reduce number.  Substract exponent largest power

                              smallest power  

    = 3a²b³

Answer:

1/64

Step-by-step explanation:

Answer: that would be 1/64

Step-by-step explanation:

for this type of question you put it 1/ such as:[tex]\frac{1}{8*8}[/tex] i got 8*8 because of The 8^2

and 8*8=64 therefor the answer is 1/64

*you put it over 1 to get rid of the negative exponents*

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.

Answer:

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Step-by-step explanation:

First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.

Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.

Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.

So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Answer:

A triangle with the side lengths of these numbers can not exist: 9,3 and 6

Step-by-step explanation:

hope it helps

Step-by-step explanation:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

Answer: Approximately 859.06926 meters

Explanation:

Draw a right triangle. The vertical leg is 780 meters and the horizontal leg is 360 meters. The hypotenuse represents the magnitude of the resultant vector. Use the pythagorean theorem to find it.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

c = sqrt( 780^2 + 360^2 )

c = 859.06926

The distance from the original starting point to the finish line is roughly 859.06926 meters.

Answer:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

(

−

1

,

−

6

)

(

-

1

,

-

6

)

Focus:

(

−

1

,

−

49

8

)

(

-

1

,

-

49

8

)

Axis of Symmetry:

x

=

−

1

x

=

-

1

Directrix:

y

=

−

47

8

y

=

-

47

8

x

y

−

3

−

14

−

2

−

8

−

1

−

6

0

−

8

1

−

14

Step-by-step explanation:

Answer:

  66,000 kg·km/hr

Step-by-step explanation:

  p = mass × velocity

  p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr

_____

Additional comment

Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.

Answer:

x is 8.2 I think hold on

yeah I think

Answer:

y = -4x+2

Step-by-step explanation:

To find a perpendicular line, the slope would be -4.

y=-4x

Since the point it has to go through is (0,2), the y-intersept is already given.

y = -4x+2

Answer:

A

i will go with a. hope to help u

Answer:

x=3

Step-by-step explanation:

Answer:

x = 33

Step-by-step explanation:

11 - 4 = 7

You need to make that fraction equal 11

33/3 = 11

I hope this helps!

Answer:1.33 (Repeated decimal)

Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.