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Katyanochek1 [597]
3 years ago
9

15. An airplane dimbs at an angle of 12 with the ground. Find the horizontal distance it has traveled

Mathematics
1 answer:
irina [24]3 years ago
6 0
<h2>Horizontal distance traveled by airplane is 2352.32 ft</h2>

Step-by-step explanation:

The figure shows the arrangement.

Angle of flight with ground = 12°

We have

                 tan12=\frac{BC}{AB}

We know

            BC = Altitude = 500 feet

            AB = Horizontal distance traveled.

Substituting

             tan12=\frac{500}{AB}\\\\B=2352.32ft

Horizontal distance traveled by airplane is 2352.32 ft

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An employee puts 10000 in a retirement account that offers 4% interest. How much will he have in 12 years
steposvetlana [31]

Answer:

14800

Step-by-step explanation:

The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;

I = P x R x T / 100         ------------- (i)

Given:

Principal (P) = Initial amount being put into the account = 10000

Rate (R) = The interest rate being offered by the account manager = 4%

Time (T) = Time taken = 12 years

Substitute these values into equation (i) as follows:

I = 10000 x 4 x 12 / 100

I = 4800

Therefore, the initial amount will yield an interest of 4800 for those 12 years.

The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e

Amount = P + I

Amount = 10000 + 4800

Amount = 14800

4 0
2 years ago
A bag contains 20 marbles: 12 red, 4 blue, 3 yellow, and 1 green. Arielle takes out 2 marbles. What is the probability that they
Marysya12 [62]

Total number of marbles in the bag =20

Number of blue marbles =4

Now we just want two blue marbles out of four.

Probability of taking out first marble which is blue =4/20

Now after we took out one blue marble , number of blue marbles left are 3.

Probability of taking out second marble which is blue =3/20

Total probability = 4/20 *3/20 = 12/400

So probability of taking out two blue marbles is 0.03 or 12/400.


3 0
3 years ago
A study was completed in Florida. In southern Florida, the study involved 3,000 patients; 54% of them experienced flulike sympto
polet [3.4K]

Answer:

A (52,2%, 55,8%)

Step-by-step explanation:

To get the confidence interval, we have to add the margin of error to the point estimator.

The middle of the interval is 54%, and the ME is 1.8%. Don't forget that this means ±1.8%!

54 - 1.8 = 52.2%

54 + 1.8 = 55.8%

So our confidence interval is (52,2%, 55,8%) and the answer is A.

6 0
3 years ago
A scientist needs to make 2 liters of saline solution (salt water), in which the salt
gulaghasi [49]

Answer:

1.60 L of 10% solution

0.40 L of 35% solution

Step-by-step explanation:

If x = amount of 10% saline solution, and y = amount of 35% saline solution, then:

x + y = 2

0.10x + 0.35y = 0.15(2)

Solve with substitution:

0.10x + 0.35(2 − x) = 0.15(2)

0.10x + 0.70 − 0.35x = 0.30

0.40 = 0.25x

x = 1.60

y = 0.40

5 0
3 years ago
A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the
sergiy2304 [10]

Answer:

It should be the last one

Step-by-step explanation:

If it's wrong sorry but I'm pretty sure it that one

3 0
3 years ago
Read 2 more answers
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