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blsea [12.9K]
2 years ago
15

A construction company is building an above-ground parking garage. From one end of the entrance ramp to the other, the rise is 1

0 feet and the run is 24 feet. A car cannot climb a ramp that has a slope with an absolute value of more than 0.55. Find the slope of the ramp in decimal form and round to the nearest hundredth. Can cars climb the ramp?
Mathematics
1 answer:
SVEN [57.7K]2 years ago
6 0
The ramp is simply a right triangle when viewed from the side. The rise is the height of the triangle and the run is the length or base. The slope of the ramp is the angle that the ramp makes with the ground. Plug those values into the formula for tanФ = opposite/adjacent or rise/run and solve for Ф. You should end up with 0.23
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A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months. What
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Answer:

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

A 2003 survey showed that 14 out of 250 Americans surveyed had suffered some kind of identity theft in the past 12 months.

This means that n = 250, \pi = \frac{14}{250} = 0.056

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.056 - 1.96\sqrt{\frac{0.056*0.944}{250}} = 0.0275

The lower confidence limit of the 95% confidence interval for the population proportion of Americans who were victims of identity theft is 0.0275.

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Owens birthday cake weights 6 T. (LOL). How many pounds does it weigh?
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Answer:

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BRAINLIEST FOR RIGHT ANSWER!!! The graph shows two lines, A and B. (IMAGE BELOW) How many solutions are there for the pair of eq
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Answer:

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Step-by-step explanation:

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Answer the question in the picture
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<h3>Answer:</h3>
  • left picture (bottom expression): -cot(x)
  • right picture (top expression): tan(x)
<h3>Step-by-step explanation:</h3>

A graphing calculator can show you a graph of each expression, which you can compare to the offered choices.

_____

You can make use of the relations ...

... sin(a)+sin(b) = 2sin((a+b)/2)cos((a-b)/2)

... cos(a)+cos(b) = 2cos((a+b)/2)cos((a-b)/2)

... cos(a)-cos(b) = -2sin((a+b)/2)sin((a-b)/2)

Then you have ...

\dfrac{\cos{2x}-\cos{4x}}{\sin{2x}+\sin{4x}}=\dfrac{2\sin{3x}\sin{x}}{2\sin{3x}\cos{x}}=\dfrac{\sin{x}}{\cos{x}}=\tan{x}

and ...

\dfrac{\cos{2x}+\cos{4x}}{\sin{2x}-\sin{4x}}=\dfrac{2\cos{3x}\cos{x}}{-2\cos{3x}\sin{x}}=\dfrac{-\cos{x}}{\sin{x}}=-\cot{x}


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Answer:

Step-by-step explanation:

f(-x) is a reflection of f(x) in the y-axis

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