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Alexxandr [17]
3 years ago
12

Find an angle between 0 and 360 degrees that is coterminal with 1260 degrees

Mathematics
2 answers:
GaryK [48]3 years ago
6 0

Answer:

The 180 degrees angle.

Step-by-step explanation:

We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.

Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.

cluponka [151]3 years ago
4 0
1260-360-360-360=180
Therefore,180
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Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit. (Hint: Assume that
Vadim26 [7]
So... if you notice the picture below

each circle, has their central angle at the vertex of the triangle
that simply means, 3 circles with a radius of 3, overlapping the triangle

now, the area in the middle, the shaded one, will be, the whole area of the triangle MINUS those 3 circle sectors

hmmmm each sector has 60°, that means, all three of them will then be 60+60+60 or 180°, so the area of those three sectors, can be combined into a 180° sector, well, hell, 180° is really half a circle

so.... the area of those three sectors of 60° each, all three combined, is the same area of half a circle with a radius of 3

so    \bf \textit{area of an equilateral triangle}\\\\
A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\textit{length of one side}\\\\
-----------------------------\\\\
\textit{area of a circle}\\\\
A=\pi r^2\qquad r=radius\\\\
\textit{area of half a circle}\\\\
A=\cfrac{\pi r^2}{2}\\\\
-----------------------------\\\\

\bf \textit{now, let us use the side of 6, and radius of 3}
\\\\\\

\begin{array}{clclll}
\cfrac{6^2\sqrt{3}}{4}&-&\cfrac{\pi 3^2}{2}\\
\uparrow &&\uparrow \\
triangle's&&semi-circle's
\end{array}\impliedby \textit{area of shaded area}\\\\
-----------------------------\\\\
\boxed{\cfrac{36\sqrt{3}}{4}-\cfrac{9\pi }{2}}

you can, add the fractions if you want, or leave them like that, or get their difference by using their decimal format

8 0
3 years ago
Read 2 more answers
In the 2009 General Social Survey, respondents were asked if they favored or opposed death penalty for people convicted of murde
sleet_krkn [62]

Answer:

The calculated 99% confidence interval is wider than the 95% confidence interval.      

Step-by-step explanation:

We are given the following in the question:

95% confidence interval for the population proportion

(0.65, 0.69)

Let \hat{p} be the sample proportion

Confidence interval:

p \pm z_{stat}(\text{Standard error})

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Let x be the standard error, then, we can write

\hat{p} - 1.96x = 0.65\\\hat{p}+1.96x = 0.69

Solving the two equations, we get,

2\hat{p} = 0.65 + 0.69\\\\\hat{p} = \dfrac{1.34}{2} = 0.67\\\\x = \dfrac{0.69 - 0.67}{1.96} \approx 0.01

99% Confidence interval:

p \pm z_{stat}(\text{Standard error})

z_{critical}\text{ at}~\alpha_{0.01} = 2.58

Putting values, we get,

0.67 \pm 2.58(0.01)\\=0.67 \pm 0.0258\\=(0.6442,0.6958)

Thus, the calculated 99% confidence interval is wider than the 95% confidence interval .

4 0
3 years ago
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Katyanochek1 [597]
X - 5
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3 0
3 years ago
Which of these instruments is unpitched?
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A bass drum is un pitched
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3 years ago
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
ale4655 [162]

Answer:

II and III

Step-by-step explanation:

Causation always means coorelation, but corelation doesn't always mean causation.

Also, correlation is a two-sided relationship while causation is not. Hot days cause more ice cream sales but ice cream does not cause more hot days. However, hot days are correlated with ice cream and ice cream is correlated with hot days.

Therefore, only II and III are correct.

5 0
3 years ago
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