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3 years ago

A ship leaves port at noon and travels at a bearing of 214°. The ship’s average rate of speed is 15 miles per hour.

Mathematics

1 answer:

Daniel [21]3 years ago

3 0

Answer: (-31.09 mi, -20.97 mi)

Step-by-step explanation:

If the noon is our initial time, then we have that 2:30 pm is t = 2.5 hours.

Now, the position (x, y) of the ship can be writen as:

(velocity*time*cos(angle), velocity*time*sin(angle))

or:

(15mph*t¨*cos(214°), 15mph*t*sin(214°))

then the position at t = 2.5 hours is:

(15mph*2.5h*cos(214°), 15mph*2.5h*sin(214°))

(-31.09 mi, -20.97 mi)

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Sonic claims to have 1,073,953 drink combinations. 13 base drinks and 26 flavor add ins. If you select 1 base and 1 flavor . How

ladessa [460]

Answer:

338 different options we will have to choose from.

Step-by-step explanation:

Number of base drinks = 13

Numbers of flavors = 26

If we can select 1 base and 1 flavor.

For every base drink we have 26 flavors.

Then for each 13 base drinks we will have 26 flavors.

So, number of options if we have If we select 1 base and 1 flavor:

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3 years ago

5x-4+2x=3

yuradex [85]

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3 years ago

How do i solve this using imaginary numbers? PLEASE HELP

Tasya [4]

Answer:

14 -2i

Step-by-step explanation:

9 + sqrt(-4) - ( -5 + sqrt(-16))

We know the sqrt of a negative number is i * sqrt(number)

9 + isqrt(4) - ( -5 + isqrt(16))

9 + 2i - (-5 + 4i)

Distribute the negative sign

9+2i +5 -4i

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3 years ago

A company has $14,000 in liabilities and $15,000 in equity. Calculate the company's debt to equity ratio as a percentage.

liberstina [14]

The required debt-equity ratio is 14:15

Solution:

Given:

Liabilities of the company = $14000

Equity of the company = $15000

To calculate: The debt-equity ratio

Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

$\text { Debt Equity ratio }=\frac{\text { Debt }}{\text { Equity }}=\frac{14000}{15000}=\frac{14}{15}$

$\text { Debt Equity ratio }=\frac{14}{15} \rightarrow 14: 15$

The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.

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3 years ago

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short c

prisoha [69]

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

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2 years ago