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klasskru [66]
2 years ago
12

An airplane takes off from an airport. When the

Mathematics
1 answer:
Ivanshal [37]2 years ago
3 0

The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft

<h3>Calculation of the distance travelled</h3>

  • To calculate the angle of elevation of the airplane

tan x° = opposite/adjacent

where opposite = 16,500 feet

adjacent = 6,000 ft

tan x° = 16,500 / 6,000

tan x° = 2.75

X = arctan ( 2.75)

X = 70°

  • To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.

C² = a² + b²

C² = 16,500² + 6,000²

C² = 272250000 + 36000000

C² = 308250000

C= √308250000

C= 17,557ft

Learn more about Pythagorean Theorem here:

brainly.com/question/343682

#SPJ1

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Prime factors for 144
matrenka [14]

Answer:

2×2×2×2×3×3 = 144

hope that helps uhh!!

5 0
2 years ago
Read 2 more answers
Name the sampling method used in each of the following situations:
elixir [45]

Answer:

a) Convenient

b) Cluster

c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

People chosen at random, so Random sampling.

6 0
3 years ago
ngozi earns \$24{,}000$24,000dollar sign, 24, comma, 000 in salary in the first year she works as an interpreter. each year, she
goblinko [34]

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by S = 24000 *  (1.035)^t.

What is a function?

  • A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
  • A relation between a collection of inputs and labor is known as a function.

You can use the fact that the raise is done on the previous year's salary.

Let the initial salary be P = $24000

After 1 year, her salary increased by R = 3.5% which, thus,

Total salary = P + increment

Similarly going on, we get

P_t = P(1+ \frac{R}{100})^t = S (we can say)

Putting values of P(value of P) and R(value of R), we get

S = 24000(1 + 0.035)^t = 24000 *(1.035)^t

Thus,

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by

S = 24000 *  (1.035)^t

Learn more about function here:

brainly.com/question/25638609

#SPJ4

8 0
1 year ago
Determine the greatest common factor of the following numbers 8 and 12<br>NO LINKS PLEASE!!!!​
jonny [76]
I think it would be 4.
8 breaks down to 4(2) and 12 breaks down to 4(3). Let me know if that helps!
3 0
3 years ago
if a person earns $2600 in 4 weeks, how much can the person earn in 20 weeks at the same rate of pay?
AlladinOne [14]

Howdy!

To do this we first have to find the unit rate of 2,600.

2,600/4=650 each week. Then, we just multiply 650x20, with 20 being the number of weeks.

650x20=13,000<---Answer

-Seth

4 0
3 years ago
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