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3 years ago

A car travels 210 miles in 4 hours. Use dimensional analysis to convert the car’s speed to feet per minute?

Mathematics

2 answers:

Anna35 [415]3 years ago

5 0

Answer:

4620 feet per minute

Step-by-step explanation:

210m/ 4h ( 1h/ 60 min) (5280ft/ 1m)

1108800ft/240 min

= 4620 feet per minute

Finger [1]3 years ago

3 0

Answer:

eight hundred an fourty

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Suppose f(x)=x^2 what is the graph of g(x)= f(5x)

Novosadov [1.4K]

Answer:

Step-by-step explanation:

That '5' in f(5x) will compress the graph of x^2 horizontally.

If you were to graph f(x) = x^2, you'd get a parabolic graph; the parabola will open UP.

Suppose you graphed f(x) = x^2 on the interval [-4, 4].

Then the graph of g(x) = f(5x) would be graphed on the interval [-4/5, 4/5]. In other words, the graph would be on a shorter interval, one shorter by a factor of 5.

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3 years ago

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Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

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:

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

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2 years ago

Solve:<br> 3x + x -5 = 2(x -2)

RUDIKE [14]

Answer:

1/2

Step-by-step explanation:

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2 years ago

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