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Licemer1 [7]
4 years ago
10

A pronghorn antelope can run at speeds of about 59 miles per hour. What is that speed in feet per second, to the nearest whole n

umber? (Remember, there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour.)
Mathematics
2 answers:
Yakvenalex [24]4 years ago
6 0

Answer:

87 \frac{feet}{s}

Step-by-step explanation:

We know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour.

To know what the speed of the antelope will be in feet per second we will use a conversion factor.

\frac{59 miles}{1h} .\frac{5280 feet}{1 mile}= 311520 \frac{feet}{h}

We know that one hour has 60 minutes and that one minute has 60 seconds. We use a simple rule of three to know how many seconds are in an hour

1min \longrightarrow 60s\\ 60 min\longrightarrow x\\ x= \frac{(60)(60)}{1}= 3600

311520\frac{feet}{h}.\frac{1h}{3600s}= 87 \frac{feet}{s}

the speed of the antilope is 87 \frac{feet}{s}

SIZIF [17.4K]4 years ago
4 0

The antelope can travel at a speed of (rounding to) 87 feet per second.

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A right triangle has side lengths 7, 24, and 25 as shown below.
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Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

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Cos B = adjacent/hypotenuse

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Cos B = 0.9600 (16.26 degrees)

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4 years ago
The answer to the photo
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Given that B is between A and C. If AB=x, BC =2x-3, and AC = 30. Find x and bc
Artemon [7]

Answer:

x=11

BC=19

Step-by-step explanation:

AB+AC=AC this is because B is in between A and C. So now we can substitute all of the line segments, so we have

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