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Leya [2.2K]
4 years ago
9

If , complete the following statement:The domain for f(x) is all real numbers _____ than or equal to 3.

Mathematics
1 answer:
olganol [36]4 years ago
8 0
The domain should be all numbers GREATER than or equal to 3.
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An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21
mel-nik [20]

Angle of elevation is angle measured from horizontal line to line of sight, The distance from the plane to the observer is 25,636 feet approx

<h3>What is angle of elevation?</h3>

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal line to the point where you stopped your head is called angle of elevation. See the figure where angle OPD is the angle when observer saw the plane. It  is measured from the horizontal line OD.

Refer to the attached figure.

It is given that we have

Length of PD = |PD| = 21,000 feet

Angle ∠OPD = 55°

Assuming length of OP = |OP| = x feet, we get the sin ratio as

sin(55^\circ) = \dfrac{|PD|}{|OP|} = \dfrac{21000}{x}\\\\x = \dfrac{21000}{\sin(55^\circ)} \approx 25636.27 \approx 25636 \: \rm feet

(tan 55°  was calculated from online calculator)

Thus,

The distance from the plane to the observer is 25,636 feet approx.

Learn more about trigonometric ratios here:
brainly.com/question/22599614

4 0
3 years ago
HELP I WILL MARK YOU AS A BRAINLIEST!!
Hoochie [10]

Answer:He averaged about 3 miles per day. Hope this helped ya have a nice day

Step-by-step explanation:

4 0
4 years ago
The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
3 years ago
Multiple choice plz help thank you!
Alina [70]
The answer would be B-D-F
7 0
3 years ago
What are 86.98 times 348.088 divided by 1,159,053
nadya68 [22]

0.02/ zero point zero two

4 0
3 years ago
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