Mathematics, 28.02.2020 08:46 lopezhailey317

Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions of the bottom of each pan are shown below. Which statement correctly describes how the area of the bottom of the round pan compares to the area of the bottom of the rectangular pan?

Answers: 3

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Answers

A) The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches

Step-by-step explanation:

The complete question is the attached figure

step 1

Find the area of the bottom of the round pan

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=10/2=5\ in$ ---> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(5)^{2}=78.5\ in^2$

step 2

Find the area of the bottom of the rectangular pan

The area of a rectangle is equal to

A=LW

we have

$L=10\ in\\W=7\ in$

substitute

$A=(10)(7)=70\ in^2$

Verify each statement

A) The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches.

The statement is true

Because

$78.5\ in^2-70\ in^2=8.5\ in^2$

B) The area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 244.2 square inches

The statement is false

Because, the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches

C) The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 7.2 square inches

The statement is false

Because, the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches

D) The area of the bottom of the round pan is less than the area of the bottom of the rectangular pan by about 38.6 square inches

The statement is false

Because, the area of the bottom of the round pan is greater than the area of the bottom of the rectangular pan by about 8.5 square inches

Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions

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.

Answer from: Quest

cosine

step-by-step explanation:

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