1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dahasolnce [82]
3 years ago
7

Observers in two lighthouses K and L spot a ship S.

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

KL = 12km                  s° = 59°

SL = 9.72km              l°  = 77°

SK = 13.6km               k° = 44°

Step-by-step explanation:

When you know two angles you can find the third.

1.

The angles always add to 180°:

A + B + C = 180°

so,

k ° +  s ° + l° = 180°

44 + 77 + s = 180

121 + s = 180

s = 180 - 121

s = 59°

2.

Law of Sines (the Sine Rule):

 a/sinA = b/sinB = c/sinC

KS / sin(L) = KL / sin(S)

x / sin(77) = 12 / sin(59)

x = 12 sin(77) / sin(59)

x = 13.6km

similarly,

SL / sin(k) = KL / sin(S)

y / sin(44) = 12 / sin(59)

y = 9.72km

You might be interested in
Which tiles should be added to the model below to make zero?​
Blizzard [7]

Answer:

6 positive tiles

Step-by-step explanation:

6-6 is zero

7 0
3 years ago
Find each angle or arc measure.
DerKrebs [107]

Since opposite angles of a cyclic quadrilateral are supplementary,

A= 180-101=79°

B= 180-68=112°

5 0
2 years ago
WILL MARK BRAINLIEST!!!!!!!!
SVETLANKA909090 [29]

Data:

15 16 14 15 19 17

n=6 points

sum is 96

mean is 96/6 = 16

Now we look at the absolute deviations, each of which is the absolute value of a score minus the mean, basically the distance of the score to the mean .

Scores   15 16 14 15 19 17

AbsDev    1  0  2  1    3  1

The sum of the absolute deviations is 8 and there are six of them so the

Mean Absolute Deviation = 8/6 = 4/3

Answer: 2.    8/6

7 0
3 years ago
What is the sum of 3 3/4 + 1 1/2=?
Gnesinka [82]

You need to find the least common denominator first which is 4. 3 3/4 can stay the same but you must have like denominators to add so change 1 1/2 to 1 2/4 by multiplying by 2/2. You know have like denominators and you can add whole numbers first 3+1=4 and then the fractions 3/4+2/4= 5/4 which is also 1 1/4. Now you add 4 so your answer is 5 1/4

5 0
3 years ago
Which equation shows the correct use of the Power of Products Property?
Vadim26 [7]
The power of products property states that for number enclosed in a bracket or parenthesis, if it is raised to a power, it must be multiplied to the power of the enclosed number no matter how different the base is. You cannot add it because it is not raised. You can only add it if they have the same base. But in this problem, you will just multiply it. The breakdown of the solution to this problem is shown below. So,
<span><span>• (2x⁵y²)³=(21x3x5*3y2*3) = 6x15y6</span><span>

</span></span>
7 0
3 years ago
Other questions:
  • f(x)= -7^2+8x+2 what is the value of the discriminant of f? How many x-intercepts does the graph of f have?
    11·1 answer
  • If m = 4 and m = -4, are they parallel or perpendicular or neither?
    15·2 answers
  • AB is a straight line work out the size of angle X
    15·2 answers
  • Y varies directly as x = 1/2 and y = 5/4. what is x when y is 60
    15·1 answer
  • The cube in the image has a volume of 1,000 cubic feet. The other solid has the same base and height as the cube, but the length
    7·1 answer
  • I don’t know what to do, can someone people help me? Thank you
    11·1 answer
  • A bag contains 4 white tiles and 8 black tiles. You select one tile at random from the bag. What is the probability that you sel
    12·1 answer
  • Which of the following statements correctly compares the median and range of their scores?
    8·1 answer
  • HELP ME PLEASE! ILL MARK U BRAINLIEST IF U ANSWER ALL THE QUESTIONS
    6·1 answer
  • Evaluate |3x| +4 when x=-5
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!