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WINSTONCH [101]
3 years ago
5

Write the verbal sentence as an algebraic expression, equation, or inequality.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0
X-8+y^2=52 is the answer I believe
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amir works in a sports shop he can have a discount of 40% on anything he buys for himself how much will he pay for a pair of tra
ser-zykov [4K]
65 x 0.4 = 26
65 - 26 = 39

answer: 39
8 0
3 years ago
Work out the surface area of this sphere.
MrRissso [65]

Answer:

452.2 cm

Step-by-step explanation:

A = 4πr²

A = 4 (3.14) (6)²

A = 4 (3.14) (36)

A = 452.16

A = 452.2 cm (nearest tenth)

5 0
2 years ago
The small submarine is at –1,320 feet in relation to sea level. The submarine needs to be 180 feet below sea level in 60 minutes
alexandr402 [8]

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The submarine needs to move up, so the rate the submarine needs to move is positive.

3 0
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




8 0
3 years ago
-4x² – 26 + 7x – 6x² + 10 -12x =
finlep [7]
Hereeeee -10x ^2 -5x -16
3 0
3 years ago
Read 2 more answers
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