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3 years ago

7

I need help in problem 8 plz help me I need a a

1 answer:

iogann1982 [59]3 years ago

6 0

Here are three ways where There could be equal rows

3*12=36
4*9=36
6*6=36

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A direct variation function includes the ordered pair (4, 5). Which statement is true? The constant of variation k is mc001-1.jp

devlian [24]

A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4

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3 years ago

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16/21 × 20/24 × 28/15

Troyanec [42]

Answer:

32/27

Step-by-step explanation:

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Which inequality represents this situation? jessica is stacking items on a shelf. she has large books that weigh 5 pounds each a

Nataly_w [17]

5x+3y≤50. Letter D. is the answer.

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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

a triangle with a perimeter of 36 inches is dilated with a scale factor of 2. what will be the perimeter of the image

sweet [91]

Answer:

18

Step-by-step explanation:

36/4=9 9/2=4.5 4.5+4.5+4.5+4.5=18

7 0

3 years ago