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
WINSTONCH [101]
3 years ago
13

There is a circular park of radius 15 meters. Three friends Lillian, William, and Jacob are sitting at equal distance on its bou

ndary each having a toy telephone (connected using strings) in their hands to talk to each other. Find the length of the string between the pair of the telephones.

Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Answer:

15√3 meters ≈ 26 meters

Step-by-step explanation:

The three boys are sitting at equal distances on the circle, so they form an equilateral triangle.

Draw one line cutting the triangle in half, and another line from one corner to the center of the circle.  These two lines form a large 30-60-90 triangle on one side, and a smaller 30-60-90 triangle on the other side.

The hypotenuse of the smaller triangle is the radius of the circle, so the short leg is equal to 7.5 meters.  That means the height of the equilateral triangle is 15 meters + 7.5 meters = 22.5 meters.

To find the side length of the equilateral triangle, we can either find the hypotenuse of the larger 30-60-90 triangle, or double the long leg of the smaller 30-60-90 triangle.  Either way, it's 15√3 meters.

You might be interested in
What is the equation of the line that passes through (-3, -1) and has a slope of 2/5 ? Put your answer in slope-intercept form.
Scrat [10]

Answer:

  a.  y = 2/5x + 1/5

Step-by-step explanation:

In point-slope form, the equation of a line with slope m through point (h, k) can be written

  y = m(x -h) +k

Then a line with slope 2/5 through the point (-3, -1) will have point-slope equation ...

  y = (2/5)(x +3) -1

This can be simplified to the desired form:

  y = 2/5x +6/5 -1 . . . . . . eliminate parentheses; next, collect terms

  y = 2/5x + 1/5

8 0
3 years ago
Read 2 more answers
Determine whether 5, 226 is divisible by 2,3,4,5,6,9, or 10.
uranmaximum [27]

Answer:

2,3,6

Step-by-step explanation:

5,226   ...(1)

unit digit=6

6 is divisible by 2,

so (1) is divisible by 2.

last two digits=26 ,not divisible by 4,

so (1) is not divisible by 4.

5+2+2+6=15 divisible by 3 but not divisible by 9.

so (1) is divisible by 3 but not divisible by 9.

2×3=6,so (1) is divisible by 6.

unit digit=6≠0 or 5

so (1) is not divisible by 5 or 10.

8 0
3 years ago
Read 2 more answers
HELP ASAP!!!! SO STUCK ON THIS! Will give brainliest IF CORRECT! :) please help! Be sure please!
vlada-n [284]
If I can read the #'s correctly:
add the yes answers together 23+147 = 170
add the no answers together 112+48= 160

so your ratio of haves to have nots is 170 to 160

but both sides can be divided by 10, so it can be simplified to 17 to 16.

Good Luck!
4 0
3 years ago
Read 2 more answers
Anyone!!! Please need this asap
coldgirl [10]

Answer:

angle 3 = angle 6

angle 1 = angle 5

angle 2 + angle 5 + angle 6 = 180°

8 0
3 years ago
Read 2 more answers
Use the method that you described in item 4 to answer the following
Kruka [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • What method most efficient to use to solve x^2+4x+3=0
    14·1 answer
  • 3.7+6=. A:-1. B:1. C:13 D:-13
    5·2 answers
  • What are the 2 steps that are wrong
    12·2 answers
  • Multiply. write answers in the simplest form:<br> 3 1/4 x 4 2/3
    5·1 answer
  • Find the volume of a cone with a base diameter of 8 yd and a height of 9 yd
    6·1 answer
  • What is the answer to the question?can you help me solve
    14·2 answers
  • 34. The amount of money in an account with continuously compounded interest is given by the formula 1
    13·1 answer
  • The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown popula
    10·1 answer
  • -6y -8 = -18<br> can anyone solve this
    15·2 answers
  • Find 3 ordered pairs for each equation <br><br> Y= 5x+1 <br><br> Y=10 - x <br><br> Y= 2x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!