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goblinko [34]
3 years ago
14

Determined the quadrant for an angle with the following characteristics: cotθ>0 and cscθ>0.

Mathematics
2 answers:
oee [108]3 years ago
6 0
\csc\theta=\dfrac1{\sin\theta}>0\implies\sin\theta>0

This happens whenever the terminal point of \theta lies in either the first or second quadrants.

Meanwhile,

\cot\theta=\dfrac1{\tan\theta}=\dfrac{\cos\theta}{\sin\theta}>0\implies\cos\theta>0

since you already know sine is positive. Cosine is positive when the angle lies in the first or fourth quadrant.

Sine and cosine are both positive only when \theta is the first quadrant, which means this angle's terminal point lies in the first quadrant (A).
Volgvan3 years ago
5 0

Answer:

1. B (tanX=x/y)

2. B (cscZ=x/z)

3. C (12/13)

4. B. (68.90)

5. B (39.81)

6. C (44)

7. B (2.9 cm)

8. B (523.8 ft)

9. A (pi radians)

10. D (5pi/6 radians)

11. B (70)

12. A (100.27)

13. B (3pi/4)

14. A (3pi/4)

15. C (sqrt3/2)

16. C (sqrt2/2)

17. D (tan pi/2)

18. D (sqrt 2/2)

19. B (cos52)

20.A (Quadrant I)

21. B (pi/3)

22. D (tan0=3sqrt7/3)

23. Written

Step-by-step explanation:

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The dogs at a shelter are housed in 4 different rooms. If there are 10 dogs in each room, how many dogs are housed at the shelte
frozen [14]
If there are 10 dogs in each room there are 40 dogs
6 0
3 years ago
How can you use a number to explain what an integer and rational numberes are?
enot [183]

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

41

or

82

or even

−8−2

Whereas

15=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

15=0.2

Or repeating as in

56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

picture05

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10|

7 0
3 years ago
NEED HELP WITH THIS PROBLEM!!!!!!
zzz [600]

Answer:

  \displaystyle\frac{\sqrt[4]{3x^2}}{2y}

Step-by-step explanation:

It can work well to identify 4th powers under the radical, then remove them.

  \displaystyle\sqrt[4]{\frac{24x^6y}{128x^4y^5}}=\sqrt[4]{\frac{3x^2}{16y^4}}=\sqrt[4]{\frac{3x^2}{(2y)^4}}\\\\=\frac{\sqrt[4]{3x^2}}{2y}

_____

The applicable rules of exponents are ...

  1/a^b = a^-b

  (a^b)(a^c) = a^(b+c)

The x-factors simplify as ...

  x^6/x^4 = x^(6-4) = x^2

The y-factors simplify as ...

  y/y^5 = 1/y^(5-1) = 1/y^4

The constant factors simplify in the usual way:

  24/128 = (8·3)/(8·16) = 3/16

3 0
3 years ago
An electrician must use 15 miles of electrical cable between electric poles. How many yards of cable will be used?
Dmitry [639]

Answer:

The 3rd option or 39,600 would be the correct answer.

Step-by-step explanation:

Hope this helps:)

7 0
2 years ago
Which equation can be used to find the volume of this solid?
bogdanovich [222]

Answer:

V= 2 times 4 times 5

Step-by-step explanation:

In order to calculate the volume of a figure u must calculate lwh or length times width times height. In this case length is 5 width is 4 and height is 2. This can be plugged in and becomes 2 times 4 times 5.

6 0
3 years ago
Read 2 more answers
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