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olga nikolaevna [1]
3 years ago
12

I need the answers please help 60points

Mathematics
2 answers:
enyata [817]3 years ago
6 0
In 22, you're looking for the vertical height of the triangle. You're given the angle opposite the side you want to find (which I'll call x) and the length of the hypotenuse. This sets you up with the relation

\sin2^\circ=\dfrac x{1600}\implies x\approx55.84\text{ m}

In 23, you're given a similar situation, except now you're looking for the angle (I'll call it \theta) in the triangle opposite the side denoting the height of the airplane. So this time,

\sin\theta=\dfrac{1500}{5000}=\dfrac3{10}\implies\theta=\arcsin\dfrac3{10}\approx17.46^\circ
stepan [7]3 years ago
6 0

Answer:

66

Step-by-step explanation:

You might be interested in
Suppose a researcher is estimating the proportion of trees showing signs of disease in a local forest. They randomly sample 150
Serhud [2]

Answer:

0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107

0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227

And the 95% confidence interval would be given (0.107;0.227).

Step-by-step explanation:

Information given

X= 25 number of trees with signs of disease

n= 150 the sample selected

\hat p=\frac{25}{150}= 0.167 the proportion of trees with signs of disease

The confidence interval for the true proportion would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the significance is \alpha=1-0.95=0.05 and \alpha/2=0.025, and the critical value would be

z_{\alpha/2}=1.96

And replacing we got:

0.167 - 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.107

0.167 + 1.96 \sqrt{\frac{0.167(1-0.167)}{150}}=0.227

And the 95% confidence interval would be given (0.107;0.227).

6 0
3 years ago
15. Which three lengths could be the lengths of the sides of a triangle?​
Sonbull [250]

Step-by-step explanation:

11 cm, 6 cm, 17 cm

5 0
2 years ago
Read 2 more answers
The point (7, 0) is reflected over the x-axis. What do you notice about the coordinates of the reflected point? Why is this?
goblinko [34]

Answer:

The coordinate stayed the same

Step-by-step explanation:

because when you reflect on the x-axis, the x-axis stays the same while the y-axis gets flipped. in this case, the coordinate is on the y-axis, or the y-axis is 0, and you can't flip 0 to get an opposite. the opposite of 0 is 0, so he coordinate stayed the same.

5 0
2 years ago
Find the cubes of the following numbers: a) 21 b) 55 c) 302
otez555 [7]

Answer:

a)9261

b)166375

c)27543608

Step-by-step explanation:

21 x 21 x 21 = 9261

55 x 55 x 55 = 166375

302 x 302 x 302 = 27543608

7 0
3 years ago
9x-6=180 <br> What does x equal in this equation
raketka [301]

Answer:

X=20.6666

Step-by-step explanation:

7 0
3 years ago
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