Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.

1 answer:

5 0

<span>y=+- square root 5 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 5/9 = 4/9 => x = +/- 2/3

Answer: x = +/- 2/3

y=+- square root 7 over 3

y^2 + x^2 = 1 => x^2 = 1 - y^2 = 1 - 7/9 = 2/9 => x = +/- (√2) / 3

Answer: x = +/-(√2)/3

y=+- 3 over 3

x^2 = 1 - y^2 = 1 - 3/9 = 1 - 1/3 = 2/3 => x = +/-(√2/3)

Answer: x = +/-√(2/3)

y=+- 2 square root 2 over 2

= y = +/- 2(√2) /2 = √2 ...... these y-coordinates are out of the unit circle, then there is not a corresponding x - coordinate for them.

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marta [7]

Answer:

$V=152\pi in^{2}$ in terms or pi

$V=477.52in^{2}$ simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

$V=\pi r^{2} h$

where

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$r$ is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: $r=\frac{d}{2} =\frac{8in}{2} =4in$ . Now, 9 1/2 inches is 9 and a half inches, so $h=9.5in$ .