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3 years ago

3 mi 4 mi What is the length of the hypotenuse? miles Submit

Mathematics

1 answer:

enot [183]3 years ago

8 0

The length would be 5 miles

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The sum of 2 time a number and -7, added to 5 times the number

DIA [1.3K]

Answer:

7x - 7

Step-by-step explanation:

Variable: X = the unknown number

2x + (-7) + 5x

= 7x - 7

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4 years ago

Solve for cos(theta) in sin^2(theta) + cos^2(theta) = 1.

miv72 [106K]

Subtract the sine term and take the square root.
$cos(\theta)^{2} = 1 - sin(\theta)^{2}$
$cos(\theta) = \pm \sqrt{1 - sin(\theta)^{2}}$

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3 years ago

A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is the value after seven years round the answer t

Scilla [17]

Answer:

Book value= $62.83

Step-by-step explanation:

Giving the following information:

A motorcycle bought for $10,000 depreciates continuously at 9% per annum.

<u>First, we need to calculate the depreciation of seven years:</u>

FV= PV*{[1+(-i/100)]^n}

FV= 10,000*{[1+(-0.09/100)]^7}

FV= $9937.17

Book value= 10,000 - 9,937.17

Book value= $62.83

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3 years ago

Which of the answer choices shows represents the situation below?

deff fn [24]

Answer:

y = 85x + 7

Step-by-step explanation:

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3 years ago

Read 2 more answers

Let t = cosA + sinA<br> find values of t if <br> 2 - sin2A = 2(cosA + sinA)

Zinaida [17]

$2 - \sin(2A) = 2(\cos A + \sin A)\\\\2-2\sin A\cos A=2\cos A+2\sin A\\\\2\sin A\cos A+2\cos A+2\sin A-2=0\\\\1+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\\sin^2 A+\cos^2 A+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2(\cos A+\sin A)-3=0\\\\\\t^2+2t-3=0\\\\t^2+2t+1-4=0\\\\(t+1)^2=4\\\\t+1=2\qquad\vee \qquad t+1=-2\\\\\\\boxed{t=1\qquad\vee\qquad t=-3}$

When $A\in\mathbb{R}$

$t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]$

and there is only one answer t = 1.

For $A\in\mathbb{C}$ both values are correct.

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4 years ago