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
nlexa [21]
3 years ago
14

A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from th

e lifeguard stand. Law of cosines: A triangle is created between a lifeguard stand and 2 floating docks. The distance from the lifeguard stand to one dock is 750 meters, and the distance to the second dock is 650 meters. The angle between the 2 sides is 60 degrees. Rounded to the nearest meter, what is the distance between the docks? Round to the nearest meter. 589 meters 705 meters 792 meters 861 meters
Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

705 meters

Step-by-step explanation:

cos~60=\frac{650^2+750^2-d^2}{2 \times 650  \times 750} \\2 \times 650 \times 750 \times \frac{1}{2}=50^2(13^2+15^2)-d^2 \\487500=2500(169+225)-d^2\\487500=2500(394)-d^2\\487500=985000-d^2\\487500-985000=-d^2\\d^2=497500\\d=\sqrt{497500}\\or~d\approx705.337 \approx 705~meters

You might be interested in
70% of the 100 students in the middle school bother lunch some of the students at bought their launch leave to attend an assembl
sukhopar [10]
42 students remain in the cafeteria
7 0
3 years ago
One number is one-third a second number. if the sum of the numbers is 48, find the numbers.
Gnoma [55]

First number assume A

Second number assume B

A= 1/3B ==> B= 3A

A+B = 48 ==> A+ 3A= 48

4A= 48 ==> A= 12

B= 3A= 36

8 0
3 years ago
Will is 22​% taller than​ Wanda, so​ Will's height is​ ____% of​ Wanda's height.
Flura [38]
22? (Correct me if I’m wrong)
6 0
3 years ago
Find x and y? <br>i dont want to cheat but can anyone tell me how to do it or how to start out ​
mash [69]

Answer:

x is 13

y is 39

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help me pleaseeee asap
sdas [7]

Answer:

5089.4cm³ (rounded to 1 d.p.)

Step-by-step explanation:

Volume of cylinder = \pi × r² × h

Volume of cylinder = \pi × 9² × 20

                                = 1620\pi

                                = 5089.4cm³ (rounded to 1 d.p.)

4 0
3 years ago
Other questions:
  • T costs $6 per pound for peanuts at Blessed Food Market. Which of the following represents the range of the function in terms of
    13·2 answers
  • What is the whole number of 7/2?
    14·2 answers
  • Raj paints 10 3/7 feet of his fence on Friday and 15 1/3 feet of his fence on Saturday.
    12·1 answer
  • The altitude (i.e., height) of a triangle is increasing at a rate of 1.5 cm/minute while the area of the triangle is increasing
    7·1 answer
  • Given the function f(x) = 6(x+2) − 3, solve for the inverse function when x = 21
    9·1 answer
  • What is the slope of the line shown below?<br> 1<br> O A<br> 3<br> O B. -3<br> O C. 3<br> O D.
    11·1 answer
  • Find the length of the segment with the endpoints (3,-8) and (5,-2).
    15·1 answer
  • If the perimeter of the polygon below is 52 ft, solve for x, and identify the length of each side in the corresponding spaces be
    6·1 answer
  • What is the expanded form of this number?
    6·1 answer
  • Select the correct answer.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!