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Anna007 [38]
3 years ago
7

Kamil and Sean share some money in the ratio 3:5. Sean gets $56 more than Kamil. How much do they get each?

Mathematics
1 answer:
liq [111]3 years ago
3 0
Let Kamil get x. Therefore Sean would get (x + 56).

Kamil and Sean are in the ratio:        3:5

That means:    x : (x + 56) = 3 : 5

x / (x + 56) = 3/5

5*x = 3*(x + 56)

5x = 3*x + 3*56

5x = 3x + 168

5x - 3x = 168

2x = 168

x = 168 / 2

x = 84

Therefore Kamil had, x = 84,  and Sean had (x + 56) = 84 + 56 =  140

Kamil had $84 and Sean had $140
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Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou
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the second car is 12 km slower so the seconds car speed is x-12

 they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
 
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4 years ago
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The length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle 0, is 1.42. What is t
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Answer:

16.4 feet.

Step-by-step explanation:

We have been given that the length of the hypotenuse of a right triangle is 20 feet. The tangent of one of the acute angles, angle \theta, is 1.42. We are asked to find the length of the side opposite angle \theta.

We can represent our given information in an equation as:

\text{tan}(\theta)=1.42

Now, we will use arctan to solve for theta as:

\theta=\text{tan}^{-1}(1.42)

\theta=54.85^{\circ}

Now, we will use sine to solve for opposite side as sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{hypotenuse}}

\text{sin}(54.85^{\circ})=\frac{\text{Opposite}}{20}

20\cdot \text{sin}(54.85^{\circ})=\text{Opposite}

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\text{Opposite}=16.4

Therefore, the opposite side to angle theta is 16.4 feet.

5 0
3 years ago
Read 2 more answers
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