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Anuta_ua [19.1K]

3 years ago

13

lola uses 44 beads to make a bracelet and 96 beads to make a necklace.Write an expression to show how to calculate the total num

ber of beads lola used to make 13 bracelets and 8 necklace

1 answer:

Anna11 [10]3 years ago

5 0

13*44 bracelet 96*8 necklace

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Plz help on #3 ASAP!:)

masya89 [10]

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Step-by-step explanation:

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3 years ago

Amy plays a game with an ordinary, fair dice.

rjkz [21]

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Ok so I’m stuck with this question too But I got the top part.

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3 years ago

The ratio of minutes to dry and minutes to

Mnenie [13.5K]

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Step-by-step explanation:

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3 years ago

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

What percentage of all students prefer hot dogs?<br> 2.5%<br> 27.5%<br> 30%<br> 45.5%<br> 55%

Igoryamba

27.5% is the answer

3 0

3 years ago