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Charra [1.4K]
3 years ago
10

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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Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?
dolphi86 [110]

Answer.....15ft by 12ft

Explanation:

Area = Length × Width

180 = LW....make W the subject of formula

;W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2(180/L)...sub W with the formula above...

then simplify the equation and obtain...

2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..

;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...

where W = 180/15 = 12ft

there you have...Length = 15ft and Width = 12ft

5 0
3 years ago
Sophie has $200 in a savings account that earns 5% annually. The interest is not
r-ruslan [8.4K]

Answer:

$210

Step-by-step explanation:

Formula:

P = A (1 + r% x t)

P: Answer

A: Original value

R%: Percentage increase

T: Time

P = 200 (1 + 5% x 1)

P = $210

4 0
2 years ago
What is 55 divided by 1 1/2
Karolina [17]

Answer:

55 divided by 11/2 is 10

5 0
3 years ago
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A group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete t
stepladder [879]

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

6 0
2 years ago
Can 7 go into 42 and 91
Misha Larkins [42]
7 times 6 is 42
91 divided by 7 is 13
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3 years ago
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