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3 years ago

As a plane takes off it ascends at a 20 degree angle of elevation. If the plane has been traveling at an average rate

Mathematics

2 answers:

IgorC [24]3 years ago

7 0

Answer:

The plane was 923.5 feet high after 10 seconds.

Step-by-step explanation:

Angle made by plane with ground during take off = x = 20°

Average speed of plane = 270 ft/s

Let the height of Plane after 10 seconds from the takeoff = H

Distance covered by plane in 10 seconds = 270 ft/s × 10 sn= 2700 ft

According to trigonometric ratios:

$\Sin \theta=\frac{Perpendicular}{Hypotenuse}$

Here , perpendicular = H

Hypotenuse = 2700 ft

$\Sin 20^o=\frac{H}{2700 ft}$

$H=0.342020\times 2700 ft=923.45 ft\approx 923.5 ft$

The plane was 923.5 feet high after 10 seconds.

faust18 [17]3 years ago

4 0

the answer is A.) 923.5 feet

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Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

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Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.23\\H_A: p < 0.23$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305$

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

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2 years ago

Which of the following sets of points would create a rectangle when connected?

OleMash [197]

CORRECT ANSWER: D
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2 years ago

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navik [9.2K]

Answer:

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Step-by-step explanation:

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2 years ago

Plz help me This is due tomorrow :)

Helga [31]

The answer C make more sense.

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3 years ago

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