Leslie found the volume of a cone having both a height and diameter of 12 inches. Her work is shown below. 1. radius = StartFraction 12 Over 2 EndFraction = 6 inches. 2. base area = pi 6 squared = 36 pi inches squared. 3. cone volume = 36 pi (12) = 432 pi inches cubed. Analyze Leslie’s work. Is she correct? If not, what was her mistake? Yes, she is correct. No, the radius is twice the diameter, so she needed to multiply by two instead of dividing. No, the value of 62 is 6 times 2, or 12. No, she forgot to take one-third of the base area times height. D.

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step-by-step explanation:

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 =.

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

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

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

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

slope of the solid line would be =.

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

what do u need to know

step-by-step explanation: