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zavuch27 [327]
3 years ago
9

Three identical circular coins are lined up in a row as shown (the 10s represent their value, not a length). The distance betwee

n the first and third coins is 3.2 cm. What is the diameter of one of these coins?​

Mathematics
1 answer:
son4ous [18]3 years ago
3 0

Answer:

Diameter of a circle = 1.6 Cm

Step-by-step explanation:

Given:

Distance between first and third coins = 3.2 cm

Find:

Diameter of the coins = ?​

Computation:

Number of circle = 3

In the given figure,distance between the first and third coins is 3.2 cm.

So,

Distance = 1st circle radius + 2nd circle diameter + 3rd circle radius

Distance = 1st circle radius + 2 (radius) + 3rd circle radius

Distance = R + 2R + R

3.2 Cm = 4 R

Radius = 0.8 Cm

Diameter of a circle = 2 × radius

Diameter of a circle = 2 × 0.8

Diameter of a circle = 1.6 Cm

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Write the equation of the line that is parallel to y=1/4x+5 and passes through (2,-9)
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Answer:

The answer is

<h2>y =  \frac{1}{4} x -  \frac{19}{2}</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

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Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point

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<h3>y + 9  =  \frac{1}{4} (x - 2) \\ y + 9 =  \frac{1}{4} x -  \frac{1}{2}  \\ y =  \frac{1}{4} x -  \frac{1}{2}  - 9</h3>

We have the final answer as

<h3>y =  \frac{1}{4} x -  \frac{19}{2}</h3>

Hope this helps you

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