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Mkey [24]
3 years ago
7

Given the graphed function below, which of the following ordered pairs are

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

a

Step-by-step explanation:

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9
o-na [289]

Answer:12.74 ft^2/s

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let \thetais the angle between them thus

Area of triangle when two sides and angle between them is given

A=\frac{ab\sin C}{2}

A=\frac{5\times 7\times \sin \theta }{2}

Differentiate w.r.t time

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}

at \theta =\frac{\pi }{5}

\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9

\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s

4 0
4 years ago
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Nostrana [21]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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What is cosine ? I really need this answer for my test tomorrow. Please help
Kisachek [45]
Cosine is \frac{adjacent}{hypotenuse} which applies to a right triangle. I hope that helps you.
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3 years ago
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Helena has taken out a $9,300 unsubsidized Stafford loan to pay for her college education. She plans to graduate in four years.
kherson [118]
The effective annual interest rate is:
i = (1 + 0.064/12)^12 - 1 = 0.066
In year 1: the interest is $613.80 (multiple $9300 by 0.066)
In year 2: the interest is $654.31 (add interest from year 1 to $9300 and multiply by 0.066)
In year 3: the interest is $656.98 (do the same as year 2)
In year 4: the interest is $657.16

The total interest is: $2582.25
The present worth of this amount is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72

The answer is $1999.72.
8 0
3 years ago
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7. Write the equation of the line that is perpendicular to y = -5x + 1 and passes through the point (2,-1). slope intercept equa
Svetach [21]

Answer:

y = 1/5x - 7/5

Step-by-step explanation:

y = 1/5x + b

-1 = 1/5(2) + b

-1 = 2/5 + b

-7/5 = b

4 0
3 years ago
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