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]
2 years ago
7

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

Mathematics
1 answer:
BaLLatris [955]2 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
WILL MARK BRAINLIEST TO THE FIRST PERSON!!!!
xxTIMURxx [149]

Answer:

I think the answer is 105

7 0
3 years ago
The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of wa
egoroff_w [7]
Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:

Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24

Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.

3 0
2 years ago
According to the general equation for conditional probability, if P(A and B^)= 1/6 and P(B')= 7/18, what is P(A and B') ?
algol13
The answer is 3/7 APEX

5 0
3 years ago
Read 2 more answers
Does anyone know the step by step for this 9(m +5) - 3(m - 2) = 8m + 31
tigry1 [53]
<h3>Answer :</h3>

<u>Given</u> :

  • 9(m + 5) - 3(m - 2) = 8m + 31

We have to find value of m.

➠ 9(m + 5) - 3(m - 2) = 8m + 31

➠ 9m + 45 - 3m + 6 = 8m + 31

➠ 9m - 3m + 45 + 6 = 8m + 31

➠ 6m + 51 = 8m + 31

➠ 51 - 31 = 8m - 6m

➠ 20 = 2m

➠ m = 20/2

➠<u> m = 10</u>

<h3>Hope It Helps!</h3>

6 0
3 years ago
Read 2 more answers
How do i use ratios to find this angle?
vivado [14]
If we know just two sides of a triangle, we can find<span> the </span>measure<span> of the</span>angles<span>. Step 1: Choose which trig </span>ratio<span> to use. We need to determine how the two sides we know the length of are related to </span>angle<span> A. The 4 in. side is adjacent to A and the 7 in.</span>
7 0
3 years ago
Other questions:
  • The density of the ice crystal is 0.93 g/cm3. What is the volume if the mass is 4.65 grams?
    11·1 answer
  • Which of the following question describes the equation a - 5 equals -12
    15·1 answer
  • Jada makes sparkling juice by mixing 2 cups of sparkling water with every 3 cups of apple juice. How much sparkling water does J
    14·1 answer
  • 4х + Зу = 9<br> find the slope and y intercept
    5·1 answer
  • Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44
    14·2 answers
  • Choose the end behavior of the graph of each polynomial function
    10·1 answer
  • What is 5 x 5 x 5 x 5 in exponential notation?
    13·1 answer
  • HELPPP
    14·1 answer
  • What is the equation of the graph below?
    5·1 answer
  • Do the points on the linehave a constant ratio of they-coordinate to the x-co-ordinate for any point onthe line except the y-int
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!