Answer: Hola, Buenos Noches
Step-by-step explanation:
You need 864.52 sq. in. of blue tile.
We need to find the area of the large circle (including blue and yellow) and the area of the yellow circle.
We have the circumference of the blue circle, 113.097.
C = πd
113.097 = 3.14d
Divide both sides by 3.14:
113.097/3.14 = 3.14d/3.14
36.018 = d
The diameter is twice as much as the radius, so r = 36.018/2 = 18.009.
The area of a circle is given by the formula
A = πr²
A = 3.14(18.009)² = 1018.38 sq. in.
The area of the small yellow circle is given by
A = 3.14(7²) = 3.14(49) = 153.86
Subtracting these two, we have
1018.38 - 153.86 = 864.52 sq. in.
The proportionality constant of the given graph is k = 16.
<h3>How to find the proportionality constant of a graph?</h3>
The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.
Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn
<h3>Calculation:</h3>
The given graph has the coordinates as
x = 0; y = 0 i.e., (0, 0)
x = 0.5; y = 8 i.e., (0.5, 8)
x = 1; y = 16 i.e., (1, 16)
x = 1.5; y = 24 i.e., (1.5, 24)
and so on.
Then, the ratio of y - coordinate to the x - coordinate is
k = 8/0.5 = 16
or
k = 16/1 = 16
or
k = 24/1.5 = 16
and so on.
So, the proportionality constant for the given graph is k = 16.
Learn more about the proportionality constant here:
brainly.com/question/1835116
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Answer:
Step-by-step explanation:
Find the difference between the 2 points.
For example, (8, 9) (5, 3).
Compare the difference between the x's, in this case 8 and 5. The difference is 3. Do the same with the y's, 9 and 3. The difference is 6.
To find the slope, it's y/x. The slope in this situation is 6/3. Simplify. The slope is 2.
To find the y-intercept, insert the slope and one of the 2 points in the beginning into y = mx + b & solve for b.
For example, if we use the ordered pair (5, 3) the equation would look like:
3 = 2(5) + b, Solve for b.
Multiply. 3 = 10 + b
Get b by itself by adding - 10 to both sides.
-7 = b
The y-intercept is -7. So, in this case, the equation is y = 2x - 7.
I divided 4 divided by 314.9 and the answer is equals 78.725 per minute
