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2 years ago

Can anyone help me with this one

Mathematics

1 answer:

aleksandrvk [35]2 years ago

8 0

50 hours!

825 (paycheck left over) + 25 (the shirt that was subtracted because he bought it) = $850 total
850 (total amount this week) / 17 (the amount he makes per hour) = 50 (total amount of hours worked this week)

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Ben is repackaging a 45-pound bag of rice into 8 smaller bags. How much rice is going to be in each smaller bags?

Anarel [89]

Each bag of rice is going to have 1/8 of the original amount, or 1/8 of 45.
45/8 = 5.625.
Each rice bag will have 5.625 pounds of rice.

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3 years ago

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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

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leva [86]

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so the total number of painted area, y, is:

y=180+x*(3+4) after the 45 minutes

where x is the number of minutes AFTER THE 45 minutes:

if y is 1000 then

1000=180+x*7
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so 117 minutes, or one hour and 57 minutes.

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3 years ago

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Musya8 [376]

Answer:

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Step-by-step explanation:

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