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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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Help please on this math problem: The prices of backpacks at a store are 22, 16, 39, 35, 19, 34, 20, and 26. Find the Mean Absol
Ivanshal [37]
Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)

========================================================

Explanation:

Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}

Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375

The mean is 26.375

Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative

|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375

Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8 
57.75/8 = 7.21875

The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.

4 0
3 years ago
What’s equivalent to 5X -20 minus X +9
slega [8]

Answer:

No answer

Step-by-step explanation:

5x-20-X+9

7x-20+9

7x-11

5 0
3 years ago
A bank exchanges United States currency for British courrency at the rate of 1.60 dollars to the £ .
kompoz [17]

Answer:

Remember that £ has a greater value compared to $ and vice versa.

5 0
3 years ago
working together, melissa and jing can mow a lawn in 5 hours. It would take melissa 8 hours to do the job alone. What is the val
lubasha [3.4K]
Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours

King could mow (1 / 13.33) of the lawn in one hour.

8 0
3 years ago
What is 5/2 divided by 2/5
Len [333]

Answer: 6 and 1/4

Step-by-step explanation: To solve this problem, we first leave 5/2 alone so don't do anything to it.

For our second fraction, we want to switch the numerator and the

denominator which means find the reciprocal of it.

The reciprocal of 2/5 is just the opposite of it when

you flip it and it's going to be 5/2.

Because we did the opposite there, we need to do the opposite

of division and the opposite of division is multiplication.

So now we have 5/2 × 5/2 which is 25/4 or 6 and 1/4.

6 0
3 years ago
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