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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.

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Compare the doubling times found with the approximate and exact doubling time formulas. Then use the exact doubling time formula
g100num [7]

The population after 15 years become according to the doubling time is 470000000.

According to the statement

We have given that the nation of 200 million people is growing at a rate of 9% per year.And we have to find that the What will its population be in 15 years.

So, For this purpose, we know that the

The doubling time is the time it takes for a population to double in size/value. It is applied to population growth etc.

So,

Population of nation is 200 million and growing at a rate of 9% per year.

So, 9% of the population is

Percentage population = 9/100*200,000,000

Percentage population = 9* 200,000,0

Percentage population = 1800,000,0.

It means 18000000 number of population is increased per year.

So, The total population increased in 15 years is  15*18000000

The total population increased in 15 years is  270000000.

The population after 15 years is 270000000 + 200,000,000

The population after 15 years is 470000000.

So, The population after 15 years become according to the doubling time is 470000000.

Learn more about doubling time here

brainly.com/question/16407547

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6 0
1 year ago
Confused on this part
Andre45 [30]

Answer:

The first 2 and the last one

Step-by-step explanation:

You need to have an input per output, and to choose one or multiple the need to have a continuous pattern. Ex.+5 ad -2 on both sides every time would be a linear function.  

6 0
2 years ago
Solve the system with substitution<br><br> 2.5x-3y=-13<br> 3.25x-y=-14
Serjik [45]

Answer: x= -4 , y= 1

Step-by-step explanation:

5 0
3 years ago
What is the slope of the line? i-Ready Lesson Linear Equations and Slope Level H
nydimaria [60]

Answer:

Slope of the line = 2

Step-by-step explanation:

Slope of a line through two points lying on the line (x_1,y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

From the figure attached,

Given line is passing through two points (0, 1) and (1, 3).

Therefore, slope of the line will be,

Slope = \frac{3-1}{1-0}

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4 0
3 years ago
If x = 1 is a common root of ax² +ax + 2 = 0 and x² + x + b = 0 , then ab =
vodka [1.7K]

Answer:

ab = 2

Step-by-step explanation:

Given equations

ax² +ax + 2 = 0

x² + x + b = 0

root of both the equation

x= 1

then we can plug in x = 1 in both the equation

ax² +ax + 2 = 0                        x² + x + b = 0

a*1² +a*1 + 2 = 0                        1² + 1 + b = 0

a +a + 2 = 0                                 1 + 1 + b = 0

2a + 2 = 0                                    2 + b = 0

2a = -  2                                         b = -2

a = -2/2 = -1

Thus,

a = -1

b = -2

a*b = -1*-2 = 2

ab = 2

6 0
3 years ago
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