Mathematics, 09.10.2019 19:30, patriots2833

Acircular disc has an area that measures between 1,650 and 1,700 square inches. what could be the length of its radius? use 3.14 for pie

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answered: daniel9299

According to this description the area of the disc is:

$1650in^{2}$

On the other hand, the area of a circumference is given by the following equation:

$A=\pi r^{2}$ (1)

Where is the radius.

If we want to know the possible lengths of for the circular disc, we will have to apply equation (1) for both areas:

For $A=1650in^{2}$ :

$1650in^{2}=3.14 r^{2}$

$r=\sqrt{\frac{1650in^{2}}{3.14}}$

r=22.91 inches

For $A=1700in^{2}$ :

$1700in^{2}=3.14 r^{2}$

$r=\sqrt{\frac{1700in^{2}}{3.14}}$

r=23.26 inches

Therefore the radius could be 22.91 inches or 23.26 inches

answered: wilsonabbi6

22.92 inches ≤ r ≤ 23.27 inches

Step-by-step explanation:

We are given that the area of a circular disk has an area measuring between 1650 and 1700 square inches and we are to find the possible length of the its radius.

We know that the area of a circle is equal is given by $\pi r^2$ .

Finding radius for 1650:

$r=\sqrt{\frac{1,650}{3.14}}=22.92\ in$

Finding radius for 1700:

$r=\sqrt{\frac{1,700}{3.14}}=23.27\ inches$

Therefore, 22.92 inches ≤ r ≤ 23.27 inches.

answered: Guest

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

answered: Guest

The answer would be a

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Acircular disc has an area that measures between 1,650 and 1,700 square inches. what could be the le...