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tresset_1 [31]
3 years ago
10

The Mitchells are renting a boat for the day. It costs $100, plus $20 for each hour. They have to pay for a whole hour even if t

hey are not out there for a whole hour. For example if they boat for 3 and a half hours, they have to pay for 4 hours. They don't want to spend more than $250 for the day. How many hours can they boat? Write an inequality and solve. A)100 + 20x ? 250. They can boat for 7 hours. B)100 + 20x ? 250. They can boat for 8 hours. C)100 + 20x ? 250. They can boat for 8 hours. D)100 + 20x ? 250. They can boat for 7 hours.
Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Your answer would be C.

Step-by-step explanation:

250 dollars. 250-100= 150. 150/20 equls 7.5. 7.5 will round to 8. It iwll be 8 hours hey will have to pay for.

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Answer:

46 hours and 42 minutes

Step-by-step explanation:

2100/45 = 46.7

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10. How many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? Round your answer to two
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Substituting the given value of diameter, 
 
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3 years ago
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Point A is at (2,-8) and point is at (-4.7).
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3 years ago
Use the tangent identity to
Lunna [17]

Answer:

tan(x)=\frac{44\sqrt{89}}{89}

Step-by-step explanation:

tan is defined as: tan(x)=\frac{opposite}{adjacent}

sin is defined as: sin(x)=\frac{opposite}{hypotenuse}

cos is defined as: cos(x)=\frac{adjacent}{hypotenuse}

We can also define tan as: tan(x)=\frac{sin(x)}{cos(x)}

because plugging in the definitions of sin and cos in we get: tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}

plugging in sin(x) and cos(x) we get:

tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \frac{\sqrt{89}}{\sqrt{89}} which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}

5 0
1 year ago
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