Mathematics, 01.08.2019 09:00 neariah24

A10" diameter pumpkin pie is cut into six equal servings. what is the approximate area of the top of each piece of pie?

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Answer from: AleOfficial101

area = PI x r^2

r = 10/2 = 5 inches

area = 3.14 x 5^2

area = 78.5 square inches

78.5 / 6 = 13.08 square inches for each piece ( round answer as needed)

Answer from: polloAngelo7671

$\text{Area of each serving}\approx 4.17\pi$

Step-by-step explanation:

We have been given that a 10" diameter pumpkin pie is cut into six equal servings. We are asked to find the approximate area of the top of each piece of pie.

First of all, we will find the area of entire pie using area of circle formula.

$\text{Area of circle}=\pi r^2$ , where r represents the radius of circle.

Since we know that the measure of radius is half the measure of diameter, so radius of our given pie will be:

$r=\frac{10}{2}=5$

Upon substituting r=5 in area of circle formula we will get,

$\text{Area of entire pie}=\pi\times 5^2$

$\text{Area of entire pie}=25\pi$

Since the pie is cut into 6 equal servings, so area of each serving will be:

$\text{Area of each serving}=\frac{25\pi}{6}$

$\text{Area of each serving}=4.166666\pi\approx 4.17\pi$

Therefore, the approximate area of each piece of pie is 4.17 pi square units.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

answer: b)

step-by-step explanation:

its a dot plot because since the score is not high numbers.

- r3ktforgood ☕

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