F(x)=-x2+8x-1 find f(3) show work
1 answer:
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Answer:
(2,1)
Step-by-step explanation:
Answer:
A). Options (C) and (E)
B). 4.8 times
Step-by-step explanation:
Part A
Volume of cylinder (1) = πr²h
= π(6)²(5)
= 565.5 cubic inches
Volume of cone (1) =
=
= 188.5 cubic inches
Volume of cylinder (2) = πr²h
= π(6)²(15)
= 1696.5 cubic inches
Volume of cone (2) =
=
= 565.5 cubic inches
Volume of sphere =
=
= 904.8 cubic inches
Figure having volume greater than 600 cubic inches are cylinder (2) and sphere.
Options (C) and (E) are the correct options.
Part (B)
=
Therefore, volume of sphere is 4.8 times the volume of cone (1).
Answer:
The boat turned <u>39°</u> degrees when it made its first turn.
Step-by-step explanation:
The question is as following:
A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.
By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.
===================================================
See the attached figure which represent explanation of the problem.
The boat start from point A to point B then stopped at point C
AB = 28 miles, BC = 25 miles and AC = 18 miles.
It is required to find the angle x
By applying the cosine Rule:
AC² = AB² + BC² - 2 * AB * BC * cos x
18² = 28² + 25² - 2 * 28 * 25 * cos x
2 * 28 * 25 * cos x = 28² + 25² - 18²
1400 cos x = 1085
Cos x = 1085/1400 = 0.775
x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.
So, the boat turned <u>39°</u> degrees when it made its first turn.
