3 years ago

Let f(x)=cos(arctanx). What is the range of f?

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

-π/2 < arctan(x) < π/2

So cos(π/2) < cos(arctan(x)) < cos(0)

0 < cos(arctan(x)) < 1

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You spend 1/5 of your income on car payment. You spend 3/8 of the remainder of your income on rent. What fraction of income is s

kenny6666 [7]

Answer:

3/10

Step-by-step explanation:

1/5 of total income - spent on car

remainder  income = 4/5

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2 years ago

A Board Is 3 yards and 1 foot long. How long will the board be if 56 inches are cut from one end?

TiliK225 [7]

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3 years ago

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Kelly drew a circle with a diameter of 8cm Paige drew a circle with a radius of 3cm approximately how much larger is the area of

nlexa [21]

Answer:

15.7

Step-by-step explanation:

d = 2r

d = 8 thus r = 4

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3 years ago

Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer t

saveliy_v [14]

Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = $\frac{1}{3}\pi r^{2}h$

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = $\frac{1}{3}\pi (8.6)^2(14.3)$ [ radius = $\frac{17.2}{2}=8.6$ ]

= $\frac{1057.628\pi }{3}$

= 1107.55

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Therefore, volume of the given cone is 1107.6 cubic feet.

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3 years ago