Two ships leave a harbor at the same time. One ship travels on a bearing S14°W at 15 miles per hour. The other ship travels on a bearing N75°E at 11 miles per hour. How far apart will the ships be after 3 hours?

Answers

Answer 1

Answer:

67.48 miles

Step-by-step explanation:

the angle between two ships =180°-75°+14°= 119°

the first ship travels for 15×3=45miles

the second ship trave 11×3=33miles

the distance between them after 3 hours=

√(45²+33³-2(45)(33)cos 119°)

=√(2025+1089+1440)

=√4554

= 67.48 miles


Related Questions

evalute the expertion (-5)(7)+4=

Answers

Answer:

(-5)(7)= -35  

-35+4=-31

your answer is -31

Shen made $25,000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7000 plus 15% for the amount over $7000.
How much must Shen pay in income tax for last year?

Answers

Answer:

3400

Step-by-step explanation:

  25000

-    7000 x .10= 700  calculate 10% tax

——————

=18000 x .15 =2700 calculate tax over 7000 at 15%

total tax.      = 3400

plsss help with this question lolz

Answers

Answer:

for output: 4, 6, 8, 10

Input: (i think) 1,5,5,1

Step-by-step explanation:

Find the slope of a line parallel to this given line: -10y + 3= -6x

Answers

Answer:

Y=3/5 x +3/10

Step-by-step explanation:

A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.

Answers

i got it right cus im smart

Someone plz help me giving brainliest

Answers

The answer my be B or C

Answer:

B. 5 2/5

Step-by-step explanation:

Use the long division solution to convert the original fraction  ( 27/ 5 )  to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction ( 5 ) , and the fraction portion of the mixed number will be the remainder of the original fraction division  ( 2 )  over the denominator of the original fraction  ( 5 )

The terminal side of θ in standard position contains the point (–4, 3). Find the exact values of the six trigonometric functions of θ. (show all of your work) *

Answers

Answer:

When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:

Tan(θ) = y/x.

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

So for the point (-4,3) we have:

x = -4

y = 3

√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5

Then:

Tan(θ) = 3/-4 = -(3/4)

Sin(θ) = 3/5

Cos(θ) = -4/5

And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:

Ctg(θ) = 1/Tan(θ) = -4/3

Csc(θ) = 1/Sin(θ) = 5/3

Sec(θ) = 1/Cos(θ) = -4/5

hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.

Answers

the thousands placeeee

The Thousands place is the right answer

what kind of triangle is shown

Answers

Answer:

right isosceles triangle.

Answer:

right scalene

Step-by-step explanation:

right angle - if one angle is 90 degree

scalene triangle- if all sides are of different lengths

Find the area of the shaded region. Round to the nearest hundredth where necessary.

Answers

Answer: See explanation

Step-by-step explanation:

7.  300-117= 183 square inches

8. 346.185-153.86= 192.325 square inches

10.  100.46-64=36.46 square inches

Lancelot deposited $5000 each into 2 different savings accounts. Account A earns 8% simple interest. Account B earns 8% interest compounded annually. What is the sum of the balances of both accounts at the end of 6 years?

Answers

Answer:

$15,334.37

Step-by-step explanation:

Lancelot deposited $5000 each into 2 different savings accounts.

Step 1- For simple Interest

Amount of money in the account

Account A earns 8% simple interest.

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 5000(1 + (0.08 × 6)) = 7400

A = $7,400.00

Step 2- For Compounded Interest

Account B earns 8% interest compounded annually.

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.08/1)(1)(6)

A = 5,000.00(1 + 0.08)(6)

A = $7,934.37

The sum of the balances of both accounts at the end of 6 years is calculated as:

$7,934.37 + $7,400.00

=$15,334.37

PLEASE HELP WITH ONE I NEED THE WORK FOR IT!! 20 POINTS AND BRAINLIEST

Answers

Answer:

too blurry

Step-by-step explanation:

Answer:

1. Missing length-8.48528137424

2. Missing length- 13.9283882772

3. Missing length-17.3205080757

4. Missing length- 14.7986485869

Calinda is painting the design on her bedroom wall. The large circle has a diameter of 32 inches. To the nearest square inch, how much paint swill she need for the shared reign on

Answers

Answer:

804 inches

Step-by-step explanation:

Amount of paint she would need is equal to the area of the circle

Area of a circle = πr²

π = 3.14

r = 32/2 = 16

The diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x 16² = 804 in

find the length of the segment from A to B, round to the nearest tenth.

Answers

Answer:

Length AB = square root [5^2 + 3^2]

AB = square root [34]

AB = 5.8309518948

= 5.8 rounded

Step-by-step explanation:

Jada lives 1 3/10 miles from school. Lin lives 1/4 mile closer to school than Jada. How far does Lin live from school? Type in the number of your answer AND type a sentence that explains how you found it.

Answers

Answer:

Lin lives 1 1/20 miles away from school

Step-by-step explanation:

1 3/10 becomes 1 6/20

1/4 becomes 5/20

1 6/20 - 5/20

= 1 1/20

To the nearest tenth, find the area of a circle with diameter of 6m. Use 3.14

Answers

Answer: 28.3 squared

Step-6 divided by 2= 3 then 3x3=9 then 9x3.14=28.26 then round 28.3

1. 5 less than three times a number, n?


2 . Y multipled by 3.2 and then 12 added to the product ?



3. Eight more than four times a number , n ?


4. 8(m+1) ?

Please pick a number and help me with it and you can just tell me the answer.

Answers

Answer:

1. 5 less than three times a number, n?

=3n-5

2 . Y multipled by 3.2 and then 12 added to the product ?

=3.2y+12

3. Eight more than four times a number , n ?

=4n+8

4. 8(m+1) =8m+8

Is (-2, 4) a solution of the graphed inequality?

Answers

Answer:

No

Step-by-step explanation:

the point (-2,4) is in the white section of the graph which is not part of the inequality.

A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p

Answers

2 Answers:   p = 0.2 and p = 0.8

==================================================

Explanation:

Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.

We're given n = 12, and we need to find p.

The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92

So the equation to solve is 12p*(1-p) = 1.92

Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8

Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.

who ever can solve this gets 20 points
I NEED ANSWERS SOON PLS!!!

Answers

Answer:

100 - 1/20 = 99.95

99.95 - 45 = 54.95

54.95  x 18/100 = 9.891, 54.95 - 9.891 = 45.059

45.059 - 12 = 33.059

33.059 divided by 2.50 = 13.2236, about 13 games

Find the volume of the prism

Answers

Answers:

1.) 1/9 m cubed

Explanation: The formula is l x w x h. So 1/3 x 1/2 x 2/3.

2.) 15/16 ft cubed

Explanation: 5/4 x 3/2 x 1/2.

Hope it helps :)

The dimensions of a rectangle can be expressed as x−1 and x+5. If the area of the rectangle is 91 square inches, what are the dimensions of the rectangle? Make sure to enter BOTH dimensions.

Answers

Answer:

13 x 7

Step-by-step explanation:

area = L x W

91 = (x - 1)(x + 5)

x² + 5x - x - 5 = 91

combine like terms:

x² + 4x - 5 = 91

subtract 91 to each side of the equation:

x² + 4x - 96 = 0

factor:

(x + 12)(x - 8)

x = 8

x - 1 = 7

x + 5 = 13

Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farther is Saturn from the sun than Earth is? A. 7.94 × 107 miles B. 7.94 × 108 miles C. 4.3 × 107 miles D. 4.3 × 108 miles

Answers

Answer:

B. 7.94  × 10^8 miles

Step-by-step explanation:

Given that

Earth is approximately 9.3 × 107 miles from the sun.

Saturn is approximately 8.87 × 108 miles from the sun.

We need to find out how much farther is saturn from the sun than earth is

So,

Earth - Sun = 9.3 × 10^7 miles

Saturn - Sun = 8.87 × 10^8 miles

Now  

= 8.87  × 10^8 - 9.3  × 10^7

= 88.7  × 10^7 - 9.3  × 10^7  

= 79.4  × 10^7

= 7.94  × 10 ^8

= 794,000,000 miles

Hence, saturn is  7.94  × 10^8 miles farther from Sun than Earth is

What is the area of the rectangle above?
A. 24 square units
B. 22 square units
C. 11 square units
D. 32 square units

Answers

to find the area just multiply the sides. the answer is A

Answer:

The answer is

a. 24 square units

f(x)= x g(x)=x+1 graph f/g

Answers

Answer:

Step-by-step explanation:

                   x

(f/g)(x) = -----------

                x + 1

Notice that x cannot be -1, which would lead to division by zero.  Thus, x = -1 is the vertical asymptote.  Also notice that if x grows increasingly large, the fraction shown tends towards x/x, or 1, so we know that the horizontal asymptote is y = 1.

Draw a set of x-y axes and graph y = 1 and x = -1.  Plot (0, 0).  Again, note that the graph of this function never touches/crosses x = -1.  So, for (-1, 0) the graph is a curve caught between x = -1 and x = 0 that increases as x increases.  For (0, infinity), the graph heads upward at a slow pace and then levels off nearly parallel to y = 1 (the horizontal asymptote).

As x increases from left to right, y starts out slightly greater than y = 1 and then (while still in Quadrant II) curves upward and approaches the vertical asymptote x = -1.

Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.

Answers

Answer:

110.75 = 16 + 10.5h

Step-by-step explanation:

Is r = 9 a solution to the inequality below?
72r
yes
no
Submit
Explain how to solve problems like this please

Answers

Answer:

No.

Step-by-step explanation:

For the inequality 7 ≥ r, 9 is not a solution. This inequality states that seven is greater than or equal to r, but 7 is not greater than or equal to 9. So this makes 9 not a solution for this inequality.

The measurement of angle D is _____ degrees

Answers

Answer:

157

Step-by-step explanation:

Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm

Answers

Answer:

the surface of hexagonal prism is 12 cm

what number is different from the other
the group
8, 27, 36, 64, 125​

Answers

125 i’m pretty sure but sorry if not

Answer:

125

Step-by-step explanation:

i guess is the different from other

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