Answer:
Step-by-step explanation:
You have a half sphere and a cylinder.
Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.
For cylinder:
radius r = 5 m
height h = 6 cm = 0.06 m
volume = πr²h = π(5²)(0.06) = 1.5π m³
For sphere:
radius r = 5 m
volume of sphere = (4/3)πr³
volume of half sphere = (2/3)πr³ = (2/3)π5³ = (250/3)π m³
Total volume = 1.5π + 250π/3 ≅ 266.5 m³
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
Answer:
8.3 cm
Step-by-step explanation:
The product of lengths to the near and far point of intersection with the circle is the same in all cases:
(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)
Since we're only interested in x, we can divide by 4 and subtract 4:
49 cm² = (4 cm)(4 cm +x)
(49/4) cm = 4 cm +x . . . . . . divide by 4 cm
8.25 cm = x . . . . . . . . . . . . . subtract 4 cm
To the nearest tenth, x = 8.3 cm.
_____
For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.
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The angles depend on the size of the circle, which is not given.
Answer:
First point - (0,-2)
second - (2,-1)
Third - ( 4, 0)
Step-by-step explanation:
4/24= 1/6
(1/6)*84= 14 had nuts
20/24= 5/6
(5/6)* 84 = 70 no nuts
