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
All rectangles are _____.<br><br> parallelograms<br> rhombuses<br> squares<br> quadrilaterals
lara31 [8.8K]
Quadrilateral and parallelogram

Squares are rectangles but rectangles are not squares b/c (not all sides are same length)
8 0
3 years ago
What is the value of x?<br><br><br> Pls hurry!!!
eduard

Answer:

C. 120

Step-by-step explanation:

Hope it helps!

4 0
2 years ago
The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom
34kurt

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer.  That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3.  Looks like the answer is correct!

Answer C.

7 0
3 years ago
What's the area of this? PLS HELP
balandron [24]

Answer:

446mm

Step-by-step explanation:

If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:

Upper left box: 16mm

Bigger box (excluding little box): 90mm

Big rectangle: 340mm

Now, add them all together.

Equals 446mm

3 0
2 years ago
Read 2 more answers
Angles H and F are corresponding angles<br> True or False?
lutik1710 [3]
True! they are corresponding angles.
5 0
1 year ago
Read 2 more answers
Other questions:
  • Jilian has 5 pens. She gives 3 pens to Lillian. Alison needs 1 pen. Explain if Jilian should have pens and why?.
    11·1 answer
  • Please help me solve inequalities and show work. Will get brainiest!!
    12·1 answer
  • -5 is a rational number and an integer yes or no
    5·2 answers
  • Sammie took $25 out of her checking account. After taking the money out of her account she had $100 remaining. Which equation ca
    13·2 answers
  • A student had taken 7 tests and received scores of 88, 73, 81, 83, 79, 73, and 97.
    7·1 answer
  • Need help<br><br><br> 40 in.³<br><br> 120 in.³<br><br> 12 in.³<br><br> 100 in.³
    8·2 answers
  • Please help i’ll give brainliest
    8·1 answer
  • What is 1/2 of simplified in fraction form
    9·1 answer
  • Please help with this​
    9·1 answer
  • When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and th
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!