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Ket [755]
3 years ago
10

Amy drove her car to 152 miles. The car used 10.07 gallons of gasoline on the drive. Estimate the cars gasoline mileage in miles

per gallon.
Mathematics
1 answer:
Flura [38]3 years ago
6 0
Miles PER gallon means the ratio of miles DIVIDED BY gallons.  "Per" means "divide."

Amy's mileage is 152 mi / 10.07 gal = 15.1 mi/gal (rounded to nearest tenth, for example).
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Find the length of side x simplest radical form with a rational denominator
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Answer:

The length of x in the simplest radical form with a rational denominator will be:      

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Step-by-step explanation:

Given

hypotenuse = 5

angle Ф = 60°

To determine

x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

here

Ф = 60°

adjacent of 60° = x

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so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation

cos Ф = adjacent / hypotenuse

so

cos\:60^{\circ }\:=\:\frac{x}{5}

       \frac{\sqrt{3}}{2}=\frac{x}{5}

switch sides

         \frac{x}{5}=\frac{\sqrt{3}}{2}

Multiply both sides by 5

         \frac{5x}{5}=\frac{5\sqrt{3}}{2}

Simplify

         x=\frac{5\sqrt{3}}{2}

Therefore, the length of x in the simplest radical form with a rational denominator will be:      

  •       x=\frac{5\sqrt{3}}{2}
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Answer:

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Step-by-step explanation:

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