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fiasKO [112]
3 years ago
13

A group of friends were working on a student film that had a budget of $500. They used $25 of their budget on props. What percen

tage of their total budget did they spend on props?
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

1/8

Step-by-step explanation:

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Mr. Sims received $3.36 in change from his grocery purchase. If the total amount of his purchase was $56.64, which equation and
polet [3.4K]

Answer:

The answer to your question is x – 56.64 = 3.36; x = 60  because He gave the cashier 60 dollars, and the cashier game him back 3.36 dollars. And 60-$56.64 = $3.36.

Step-by-step explanation:

3 0
2 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




8 0
3 years ago
PLZZZZ HEEEEEEELLLPPP MEEEEE!
lesantik [10]

Answer:

144 it is D

Step-by-step explanation:

8 0
2 years ago
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Order the following integers from smallest (left side) to biggest (right
Nataly_w [17]
-59, -35, 0, 20, 22, 100
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3 years ago
17) 10(x + 3) -(-9x - 4) = x-5 +3
navik [9.2K]

Answer:

-2

Step-by-step explanation:

10x+30+9x+4=x-5+3

19x+34=x-2

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3 years ago
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