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Natalija [7]
3 years ago
12

A giraffe can run 32 miles per hour. What is the speed in feet per second? (1 mile = 5280 ft)

Mathematics
2 answers:
amid [387]3 years ago
5 0

Besides the identity 1 mile = 5280 ft, there's another: 60 mph = 88 ft/sec.


Starting with 32 mph, we mult. this by the conversion factor (88 ft/sec) / (60 mph):



32 mph 88 ft/sec

------------ * --------------- = 46.93 ft/sec

1 60 mph

velikii [3]3 years ago
4 0

Set up your conversion using dimensional analysis. That's just a fancy way of saying set up your values so you cancel what you don't need and keep what you do. If we want to convert miles per hour to feet per second, we need to convert the miles to feet using the fact that there are 5280 feet in 1 mile, and then convert the hours to seconds using the fact that there are 3600 seconds in an hour. Your set up will look like this (it's all about setting up the fractions correctly): \frac{32miles}{hour}*\frac{5280feet}{1mile}*\frac{1hour}{3600seconds}. If you look at that closely, you can see the there is a label of miles on the top in the first fraction and on the bottom in the second fraction. Those cancel each other out by reducing. Then in the bottom of the first fraction there is hours and in the top of the last fraction there is hours. Those cancel out. From top to bottom or bottom to top you can cancel like labels. This leaves us with feet in the top and seconds in the bottom. Now it's a matter of doing the math. You multiply straight across the top and straight across the bottom. \frac{168960feet}{3600seconds}. Simplifying you get 46.933 feet per second.

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LUCKY_DIMON [66]

Answer:

1.) \sqrt{13.341}  ≈ 3.652

2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.

Step-by-step explanation:

I think we may have the same class so hopefully this helps:

1.) a^2 = b^2 + c^2 - 2bccosA --> law of cosines formula.

   a^2 = 3^2 + 3^2 - 2(3)(3)cos(75) --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.

   a^2 = 18 - 18cos75 --> in between steps.

   a^2 = 13.341 --> more simplifying.

   a(hypotenuse) = \sqrt{13.341} or 3.652 --> answer

2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.

Good luck! :)

   

6 0
3 years ago
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Step-by-step explanation:

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alekssr [168]

Answer:

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Step-by-step explanation:

You can multiple both by any number as long as it adds to nine. 4 plus 5=9.

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3 0
3 years ago
Whoever answers my question will get a brainliest.
Maurinko [17]

Answer:

see explanation

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = ((- 2, - 3 ) and (x₂, y₂ ) = (x, 5x + 9 )

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   = \sqrt{(x+2)^2+(5x+12)^2}

4 0
2 years ago
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