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levacccp [35]
3 years ago
11

If Cos A >0, and Csc A < 0, what quadrant does A lie?

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

Quadrant IV.

Step-by-step explanation:

You need to remember that :

All trig ratios are positive in the Quadrant I.

Sine and csc are positive in Quadrant II.

Tan and cot are positive in Quadrant III.

Cos and sec are positive in Quadrant IV.

So if cos A > 0 ( ie positive) it is in either Quadrant I or IV.

Csc is <0 (negative) so it is in either Quadrant II or IV.

So if cos A > 0 and csc < 0 , A must be in Quadrant IV.

Hope this helps.

Feel free to ask questions if this is not entirely clear.

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a
Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}

n = 2401

The sample size needed is 2401.

7 0
3 years ago
Read 2 more answers
A jacket usually sells for $66.00. If the jacket is 30% off, and sales tax is 8%, what is the total price of the jacket, includi
RideAnS [48]

Answer:

$50.54

Step-by-step explanation:

$66.00 x .30 = $46.80 x .08 = 3.74 + 46.80 = $50.54

7 0
3 years ago
Which coins have a diameter with 5 in the hundredths place 0.750 0.835 or 0.955
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5 0
3 years ago
Which equation could be used to find the height of the flagpole
Sauron [17]
X = height of pole (in meters)

With respect to the 50 degree angle, the side x is the opposite leg. It is the leg furthest from the reference angle. The hypotenuse is 5 meters. 

The trig function sine ties together the opposite and hypotenuse

sin(angle) = opposite/hypotenuse
sin(50) = x/5
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x = 5*sin(50)

------------------

Since x = 5*sin(50) isn't listed as an answer choice, let's try using cosine. We can't use it right away because we don't know the adjacent side. What we can do is change the reference angle. The missing angle of the triangle is 90-50 = 40 degrees. Let's make the 40 degree angle the reference angle

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This expression is listed. The answer is choice B

4 0
2 years ago
8<br> p varies directly as the square root of q.<br> p = 8 when q = 25.<br> Find p when q = 100.
Lostsunrise [7]

Answer:

16

Step-by-step explanation:

p=k√q

8=k√25

8=k5

k=8/5

p when q=100

p=8/5*√100

p=8/5*10

p=16

4 0
2 years ago
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