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Valentin [98]
2 years ago
15

The diameter of a circle is 4 centimeters. What is the length of a 45° arc?​

Mathematics
1 answer:
madam [21]2 years ago
3 0

Answer: The length of the arc is 1.57 centimeters

Step-by-step explanation: If the diameter has been given as 4 centimeters, then the radius would be diameter divided by 2, and that equals 2.

With the radius now known as 2, we can calculate the length of the arc as follows;

Length of an arc = (Ω/360) x 2πr

Where Ω is the angle subtended by the radio and r is the radius.

Length of an arc = (45/360) x 2 x 3.14 x 2

Length of an arc = (1/8) x 12.56

Length of an arc = 1.57

Therefore, the length of the arc is 1.57 centimeters

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nataly862011 [7]

Solving the system of equations y = 1.10x + 5.00\\y = 1.50x + 3.00 we get x=5 and y=10.5

Step-by-step explanation:

We need to solve the system of equations by substitutions.

The system of equations given are:

y = 1.10x + 5.00\\y = 1.50x + 3.00

Let:

y = 1.10 x+5.00\,\,eq(1)\\y = 1.50 x+ 3.00\,\,eq(2)

Putting value of y from eq(2) into eq(1)

1.50 x+ 3.00=1.10 x+5.00\\1.50 x-1.10 x=+5.00-3.00\\0.4x=2.00\\x=2.00/0.4\\x=5

So, value of x=5

Now putting value of x in eq 1 to find value of y:

y = 1.10x + 5.00

y = 1.10(5) + 5.00

y = 5.5 + 5.00

y = 10.5

So, value of y is 10.5

Solving the system of equations y = 1.10x + 5.00\\y = 1.50x + 3.00 we get x=5 and y=10.5

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
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The y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.

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The slope 'm' of any straight line is given by:

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From the graph,

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