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andrey2020 [161]
3 years ago
11

Iven right triangle XYZ, what is the value of tan(60°)?

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
4 0

Answer:

The value of  \tan (60^{\circ}) is \sqrt{3}

Step-by-step explanation:

We need to find the value of \tan (60^{\circ})

It can be calculated by the triangle XYZ as shown in figure-1

Since, the tangent is ratio of the opposite side to the adjacent.

\tan\theta = \frac{opposite}{adjacent}

In the triangle XYZ

\tan(60^{\circ}) = \frac{XZ}{ZY}

\tan(60^{\circ}) = \frac{\sqrt{3}}{1}

\tan(60^{\circ}) = \sqrt{3}

Therefore, the value of  \tan (60^{\circ}) is \sqrt{3}

gayaneshka [121]3 years ago
3 0
Sqrt of 3......................................
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The National Center for Education Statistics reported that 47% of college students work to pay for tuition and living expenses.
Luden [163]

Using the z-distribution, it is found that the 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

If we had increased the confidence level, the margin of error also would have increased.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96. Increasing the confidence level, z also increases, hence the margin of error also would have increased.

The sample size and the estimate are given as follows:

n = 450, \pi = 0.47.

The lower and the upper bound of the interval are given, respectively, by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 - 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.4239

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 + 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.5161

The 95% confidence interval for the proportion of college students who work to pay for tuition and living expenses is: (0.4239, 0.5161).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0
1 year ago
A point lies in quadrant 2. If it is rotated 180 degrees counterclockwise, which quadrant will the point come to rest?
Fiesta28 [93]
The answer is quadrant 4
4 0
3 years ago
Read 2 more answers
What is the result when the following code is run? double x = 1; double y = 1; int i = 0; do { y = x / 2; x = x + y; i = i + 1;
Mama L [17]

Answer:

The answer is: 3

Step-by-step explanation:

1. At the begining of the program we start by declairing the variables:

 double x=1, double y=1 and int i=0.

2. The structure do...while is used to defined the loop. x<2.5 is the finalization condition of the loop. i is the counter of the loop.

y=x/2 is the first calculation

x=x+y is the second one. Here is where the values of the variable x changes.

a) for the first iteration, the values of y and x are shown below:

\\\\x=1\\y=1\\y=1/2=0.5\\x=1+0.5=1.5\\i=1

The variable x is minor to 2.5 so the loop will continue computing.

b)   the second iteration, the values of y and x are shown below::

 y=0.5\\x=1.5\\y=\frac{1.5}{2}=0.75\\ x=1.5+0.75=2.25\\i=2

The variable x is still minor to 2.5 so the loop will continue computing.

c) third iteration:

y=0.75\\x=2.25\\y=\frac{2.25}{2} =1.1125\\x=2.25+1.125=3.375\\i=3

The condition x<2.5 is not true so the loop ends.

3. System.out.print(i + " "); displays the value of the variable i wich value is 3.

Therefore the number 3 is display.

6 0
3 years ago
Find the total surface area
Sindrei [870]

Answer:

298 cm^2.

Step-by-step explanation:

There are 3 pairs of faces of equal area.

Area of top = 7 * 11.  So it's  2 * 7 * 11 = 154.

Area of a smaller side  = 7 * 4 so we have 2*28 = 56 .

Area of larger side = 4*11 so it's  2*44 = 88.

Total surface area = 154 + 56 + 88

= 298.

5 0
3 years ago
How many sides does a regular polygon have if each exterior angle measures 72 degrees?
snow_lady [41]
I think you are supposed to divide the sum of the interior angles of the polygon (360 degrees) by the exterior angles of the polygon (72 degrees). When you do this: 360 / 72 = 5 sides.

This would be a pentagon.
7 0
3 years ago
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