Mathematics, 11.05.2021 18:20 nschavez123

Which of these best describes π? A The area of a circle divided by its diameter. B The circumference of a circle divided by its radius. C The circumference of a circle times 3.14 D The ratio of a circle's circumference to its diameter

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Answer from: bloodry

D. The ratio of a circle's circumference to its diameter

Step-by-step explanation:

Pi is the ratio of the circumference of a circle to its diameter which means that we get pie by dividing the circumference by the diameter. This relationship is true regardless of the size of the circle because the relationship between the circumference and the diameter does not change regardless of size.

Pi is very useful when calculating measures related to circles such as area and circumference. It also comes in handy for shapes that have circles in them such as cones.

Answer from: Quest

Distance=slopeslope is -2/4which equals-1/2the distance between these two points is -1/2

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

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Which of these best describes π? A The area of a circle divided by its diameter. B The circumference...

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