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2 years ago

SOCCER Alice kicks a soccer ball towards a wall. The ball is deflected off the wall at an angle of 40°,

Mathematics

1 answer:

Aleksandr-060686 [28]2 years ago

3 0

Answer:

The ball is 3.86 meters from the wall when it stops rolling.

Step-by-step explanation:

Representation of the situation:

This situation can be represented by a right triangle:

The hypotenuse is the distance the ball traveled, of 6 meters.

The distance from the wall is the side opposite to the angle of 40º.

We have that:

Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.

Sine of 40 degrees = Distance from the wall/6

Sine of 40 degrees is of 0.64278760968.

Distance = 6*0.64278760968 = 3.86.

The ball is 3.86 meters from the wall when it stops rolling.

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Answer:

The insurance company should charge $1,873.5.

Step-by-step explanation:

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2 years ago

Ben, sean, alexis and samantha divide a $47 so that ben and sean together got $27, ben and alexis got $25, and ben and samantha

ELEN [110]

Answer:

$11

Step-by-step explanation:

Let Ben has b,

sean has s

alexis has a

samantha has s

Money.

We need to write the words into equations and solve as we can.

b + s + a + s = 47

b + s = 27

b + a = 25

b + s = 23

We need to find a.

Let's put 2nd equation in first, to get:

27 + a + s = 47

a + s = 20 ---------- 5th equation

Now let's solve 4th equation for b and put it into 3rd equation:

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b = 23 - s

Putting in 3rd equation:

23 - s + a = 25

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a + s = 20

a - s = 2

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

2a = 22

a = 22/2 = 11

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