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3 years ago

5. When I sine an angle like 60°, it gives me a value like 0.866025403. What does this number represent?

Mathematics

1 answer:

PolarNik [594]3 years ago

5 0

Answer:

See below

Step-by-step explanation:

The number you described is the same as $sin(60^{\circ})=\frac{\sqrt{3}}{2}$ where the sine of an angle is the ratio between a right triangle's opposite side to the angle and the hypotenuse. So, in this case, if we had a right triangle with a height of $\sqrt{3}$ units and a hypotenuse of 2 units, the ratio between the two sides will result in the value you provided. This right triangle in particular would be a 30-60-90 triangle.

In the case of a unit circle, it’s the y-coordinate of the point where a 60° angle in the standard position intersects a unit circle and a right triangle is created from that.

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Answer:

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Step-by-step explanation:

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2 years ago

Give the y-intercept of the function f(x)=x^3 + 5x^2 - 3x+3

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3 years ago

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On August 7, 2007 Barry Bonds hit his 756th home run, breaking the all-time career home run record, formerly held by Hank Aaron.

svp [43]

From the stemplot, it can be taken that:

Both were very consistent home run hitters, due to the great amount of seasons with at least 20 home runs. Bonds had the biggest outlier, with a season of 73 home runs, while Aaron distribution was less spread.

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From the stemplot, it can be taken that Bonds had the biggest outlier, which was the season with 73 home runs.
His season with the lowest amount of home runs was also less than Aaron, as he had a 5 home run season while Aaron lowest amount was 10.
They both had a lot of seasons with at least 20 home runs, so both very consistent.

Thus, we can take that:

A similar problem is given at brainly.com/question/24341344

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3 years ago

In archery I need to know what is the box plot for sagars scores

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3 years ago

When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for

juin [17]

Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where n= sample size

$\hat{p}$ = sample proportion

z* = critical z-value.

As per given , we have

n= 258

Sample proportion of college students who own a car = $\hat{p}=\dfrac{106}{258}\approx0.411$

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the 99% confidence interval for the true proportion(p) of all college students who own a car will be : $0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)$

Hence, a 99% confidence interval for the true proportion of all college students who own a car : 0.332 < p < 0.490

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3 years ago