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just olya [345]
3 years ago
13

The final velocity, V, of an object under constant acceleration can be found using the formula V2= v2 + 2as, where v is the init

ial velocity (in meters per second), a is acceleration (in meters per second), and s is the distance (in meters). What is the formula solved for a?
Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Whenever you work any "solve for" problem, you start by looking at what is done to the variable of interest. Here, a is multiplied by 2s and added to v². You must reverse these operations, generally in reverse order.

V² -v² = 2as . . . . . . . . subtract v²

(V² -v²)/(2s) = a . . . . . divide by the coefficient of a

Solved for a, the formula is ...

... a = (V² -v²)/(2s)

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vova2212 [387]

Answer:

cos \theta = -\frac{8}{17}

Step-by-step explanation:

For this case we know that:

sin \theta = \frac{15}{17}

And we want to find the value for cos \theta, so then we can use the following basic identity:

cos^2 \theta + sin^2 \theta =1

And if we solve for cos \theta we got:

cos^2 \theta = 1- sin^2 \theta

cos \theta =\pm \sqrt{1-sin^2 \theta}

And if we replace the value given we got:

cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

cos \theta = -\frac{8}{17}

5 0
3 years ago
An amount of 25,000 is borrow for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that
Airida [17]

Answer: 55,811.91

Step-by-step explanation:

Given

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Amount in compound interest is given by

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Insert the values

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Therefore, 55,811.91 must be paid back

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frez [133]
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kow [346]
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\\ \rm\longmapsto P(x,y)

\\ \rm\longmapsto \left(\dfrac{-2+4}{2},\dfrac{1-4}{2}\right)

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\\ \rm\longmapsto \left(1,\dfrac{-3}{2}\right)

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8 0
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