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3 years ago

12

Find the Area & Circumference of a circular pizza with a diameter of 22.0cm.

1 answer:

nirvana33 [79]3 years ago

6 0

Answer:

Circumference = 69.14cm
Area = 380.29cm²

Step-by-step explanation:

Circumference.

Circumference of a circle is calculated by the formula:

= Pie * diameter

= π * diameter

= 22/7 * 22

= 69.14 cm

Area

Area of circle:

= Pie * radius ²

Radius = diameter/2

= 22/2

= 11 cm

Area = 22/7 * 11²

= 22/7 * 121

= 380.29 cm²

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Determine the equation of a line that passrs through the point (4,-1) and also parallel to y=3x+4

nexus9112 [7]

First, plug in the given point into y=mx +b to find b (the y-intercept of the line). Use the same slope (m) in the equation since parallel lines have the same slope (3 in this case).

-1 = 3(4) +b
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-13 = b

Now, put your m and b into y=mx+b.

The final answer/equation of your line is:

y=3x -13

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3 years ago

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3 years ago

The graphs show the amount of sugar in two kinds of juice.

gizmo_the_mogwai [7]

Answer:

Pat a) The unit rate of graph at left is $25\ \frac{grams}{cup}$

Part b) The unit rate of graph at right is $40\ \frac{grams}{cup}$

see the attached figure

Step-by-step explanation:

we know that

The unit rate of a linear equation is the same that the slope of the linear equation

step 1

Find the slope of the graph at left

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

$k=\frac{y}{x}$

we have the point (1,25)

substitute the values in the formula

$k=\frac{25}{1}=25\ \frac{grams}{cup}$

step 2

Find the slope of the graph at right

we have the points (2,80) and (3,120)

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

$k=\frac{y}{x}$

Is necessary only one point to determine the constant of proportionality

take the point (2,80)

substitute the values

$k=\frac{80}{2}=40\ \frac{grams}{cup}$

<u>Verify</u>

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points (2,80) and (3,120)

substitute the values

$m=\frac{120-80}{3-2}$

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3 years ago

a total of 345 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t

Ludmilka [50]

Answer:

115

Step-by-step explanation:

a + s = 345

s = 2a

a + 2a = 345

3a = 345

a = 345/3

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s = 2a

s = 2(115)

s = 230......student tickets

6 0

3 years ago