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3 years ago

7

Two trains leave the same station at the same time, but are headed in opposite directions. One train travels at 70 mph and the o

ther train travels at 80 mph. How much time passes until the trains are 600 mph apart

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

4 hours

Step-by-step explanation:

I hope this helps :)

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A local restaurant purchased 45 pounds of flour at a total cost of $38.25 determine the unit cost per pound

xxTIMURxx [149]

$0.85
38.25/45= .85
TO CHECK
.85 times 45 equals 38.25

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3 years ago

Read 2 more answers

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

Collinear points are two or more points that lie on the same blank?HELP

guapka [62]

Collinear points are two or more points that lie on the same line.
this question came out in a juniour olympiad nigeria
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3 years ago

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patriot [66]

The answer would be the first one or the second one but I think it’s the x over 3

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2 years ago

What is the solution to the equation below? Round your answer to two

JulsSmile [24]

Answer:.1.77

Step-by-step explanation:

e^x = 5.9

Take the natural logarithm of both sides

x = ln (59/10)

x = 1.77

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2 years ago