Answer:
40/3 pi
Step-by-step explanation:
Volume of a cone = 1/3 *pi*h*r^2 , where h = height, and r = radius.
diameter = 2 radius, so radius = 8/2 = 4
The height = 10, so plug these values into the equation:
1/3 * pi * 10 * 4 =
40/3 pi
The line on the graph is going to be linear.
...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer
11:59 a.m to 12:59 p.m. = 13 hrs....and 12:59 p.m to 1:01 p.m = 2 minutes....so the elapsed time is 13 hrs and 2 minutes
9514 1404 393
Answer:
71°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠H = 180° -109° = 71°
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<em>Additional comment</em>
The above rule comes from the more general rule that the measure of an inscribed angle is half the measure of the arc it intercepts. Here, inscribed angle J intercepts arc GHI, so that arc has measure 2×109°. Then the measure of short arc GI is 360° -2×109°, and inscribed angle H is half that:
∠H = (1/2)(360° -2×109°)
∠H = 180° -109° = 71°
