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weeeeeb [17]
2 years ago
6

A white-tailed deer can sprint at speeds up to 30miles per hour . American bison can run at speeds up to 3,520feet per minute. W

hich animal is faster and by how many per hour ? There are 5,280feet in one mile
Mathematics
1 answer:
Rus_ich [418]2 years ago
6 0

Answer:

The Bison is faster by 10 mph.

In 1 minute, the bison runs 3, 520 feet .

In 60 minutes, the bison would run  3520*60 feet  = 211, 200 feet per hour.

These are equivalent to 40 miles per hour since 1 mile is equivalent to 5, 280 feet. Hope this helps! ^-^

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a woodworker wants to cut a board that is 5.775 feet long into 7 equal-length pieces. how long will each of the cut boards be?
Marta_Voda [28]
Just do 5.775/7 in your calculator
8 0
2 years ago
4.
zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.

Required

Prove

To start with; we open the bracket on the left hand side

(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)

(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)

(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x

(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x

Reorder

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

From trigonometry;

sin^2x + cos^2x = 1

So;

(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x

becomes

(sin x - cos x)^2 = 1 - 2sinx cos x

Also from trigonometry;

sec^2x - tan^2x = 1

So,  

(sin x - cos x)^2 = 1 - 2sinx cos x

becomes

(sin x - cos x)^2 = sec^2x - tan^2x  - 2sinx cos x

Proved

3 0
3 years ago
Find the tangent of angle Θ in the triangle below.
Rina8888 [55]

Answer: \frac{\sqrt{65}}{4}

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

\sqrt{9^{2}-4^{2}}=\sqrt{65}

Therefore,

\tan \theta=\boxed{\frac{\sqrt{65}}{4}}

4 0
1 year ago
a shopper paid $52 for a handbag during a sale. The handbag was priced at 65% off its original price. Which equation can be used
aleksklad [387]
52 ×.65= X The answer would be $80. Hope i could be helpful :)
8 0
3 years ago
The sink in Josh’s art studio measures 16 inches by 15 inches by 6 inches. A second sink used just for paint brushes has a simil
marin [14]
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volume=16×15×6
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thus volume of the small sink will be:
1/8×1440
=180 cubic inches
3 0
2 years ago
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