Skylar has a collection of 60 comic books. She gave away some of her comic books to her friend. After she gave them away, she had 48 still. What percent of her comic books did Skylar give away?

Answer:

Part A

The circumference of the circular pie before the slice was cut out is approximately 69.1 inches

Part B; The area of the circular pie before the slice was cut out is approximately 380 in.²

Part C

The area of the slice of pie that was cut out in approximately 40 in.²

Part D;

The length of the crust for the slice of pie is approximately 7 inches

Step-by-step explanation:

Part A

The shape of the pie = Circular shape

The radius of the pie, r = 11 inches

The circumference of a circle = 2·π·r

Therefore, we have;

The circumference of the circular pie before the slice was cut out, 'C', is given as follows;

Where;

r = 2 inches

C = 2 × π × 11 inches  = 22·π inches ≈ 69.115 inches

The initial circumference of the circular, C ≈ 69.115 inches

To the nearest tenth of an inch, we have;

The initial circumference of the circular, C ≈ 69.1 inches

Part B; The area of a circle, A = π·r²

Therefore;

For the circular pie before the slice was cut out, A = π·(11 in.)² ≈ 380.133 in.²

To the nearest square inch, we have;

The area of the circular pie before the slice was cut out, A ≈ 380 in.²

Part C

The area of the slice of the pie that was cut out, A is given by the area of a sector of a circle as follows;

[tex]The \ area \ of \ a \ sector, A = \dfrac{\theta}{360 ^{\circ}} \times \pi \cdot r^2[/tex]

The angle of the sector formed by the slice of pie that was cut out, θ = 38°

Therefore, the area of the slice of pie that was cut out, 'A', to the nearest tenth of a square inch  is given as follows;

A = 38/360 × π × (11 in.²) = 40 in.²

The area of the slice of pie that was cut out, A = 40 in.²

Part D;

The length of the crust of the slice of pie that was cut out is given by the arc length of the sector of the circular pie the slice of pie represent as follows;

[tex]Arc \ length = \dfrac{\theta}{360 ^{\circ}} \times 2\cdot \pi \cdot r[/tex]

Therefore for the slice of pie, to the nearest inch, we have;

[tex]Arc \ length = \dfrac{38 ^{\circ}}{360 ^{\circ}} \times 2\times \pi \times 11 \, in. \approx 7 \, in.[/tex]

The length of the crust for the slice of pie ≈ 7 in.

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

 = 9 + 4

y = 13

Plugin x = 4 in equation,

y = 3*4 + 4

  = 12 + 4

y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

  = 15 + 4

y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

Plugin x = 15 in the equation

y = 15 - 7

y = 8

Plugin x = 20 in the equation

y = 20 - 7

y = 13

Answer:

m j ubhyb8yvtucvyrrd86rfutiy

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First Character: 21 consonant

2nd 3rd and 4th: 10* 9* 8 = 720

Last Character: 26

Total Ways 21 * 720 * 26 = 393120

Answer:

?? Where IS THE PICTUREEE

Step-by-step explanation:

Answer:

This is how your function looks on a graph table. Hope this helps.

Answer:

The weeks is the independent variable and the height is the dependent variable.

Step-by-step explanation:

This is because the number of weeks you take to care for it depends on the height it will become. Hope this makes sense!

Answer:

Either 30 or 32, depending on if your teacher wants you to use exact decimals, or rounded numbers

Step-by-step explanation:

Usually people round liters to equal 4 per gallon, which would give you 32.

However, a liter is technically 3.785 liters per gallon- and this exact number would give you 30 as an awnser.

I'd say 32 is the safer awnser, unless your teacher has given you the number 3.785 decimal amount to use instead.

Answer:

D. x + 23

Step-by-step explanation:

Start by distributing the 3 to the numbers in the parenthesis

3(x + 6) - 2x + 5

3x + 18 - 2x + 5

now just add like terms

3x + 18 - 2x + 5

x + 23

Answer:

Degree: 3

Number of terms: 1

Step-by-step explanation:

The exponent on x is 1. The exponent on y is 2.

1 + 2 = 3

Degree: 3

Number of terms: 1

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

Answer:

surface area

Step-by-step explanation:

A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.

In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.

The total surface area of a rectangular prism can be found out by the formula :

A = 2 (hl + lw + wh)

where, h = height of the rectangular prism

            l = length of the rectangular prism

            w = width of the rectangular prism

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The slope of a line is also known as the change in the line. it is often referred to as ([tex]\frac{rise}{run}[/tex]) and can be found using the formula, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). Substitute in the given points and solve for the slope,

[tex]\frac{(2)-(2)}{(3)-(-4)}[/tex]

Simplify,

[tex]\frac{0}{3+4}\\\\\frac{0}{7}[/tex]

The slope of the line is (0).

Answer:

-12

Step-by-step explanation:

Farenheit is on the x-axis (horizontal) so you go to 10, then find the celsius which is on the y-axis (vertical) and the line is around -12. Hope this helps!

Using the table, it is found that there is a 77% probability that a seventh grader chosen at random will play an instrument other than bass.

-----------------------------

From the table:

Then:

[tex]p = \frac{33}{43} = 0.77[/tex]

0.77 = 77% probability that a seventh grader chosen at random will play an instrument other than bass.

A similar problem is given at https://brainly.com/question/22203443

Answer:

big shaq

Step-by-step explanation:

Answer:

thx for the points

Step-by-step explanation:

u

Answer:

C: 4m, 3m, 4m, 4m

Step-by-step explanation:

The opposite sides of a parallelogram have to be congruent. Since one side is 3m, the quadrilateral is not a parallelogram.

Answer:

[tex] \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} [/tex]

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

[tex] \displaystyle \: \tan( \theta) = \frac{opp}{adj} [/tex]

where our opp is 5 and adj is 12.5

let [tex]\theta[/tex] be x°

so

[tex] \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} [/tex]

[tex] \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)[/tex]

by using calculator

[tex] \displaystyle \: {x}^{ \circ} = 21.8[/tex]

hence,

our answer is a

Answer:

yes

Step-by-step explanation:

Answer:

C) 12.5

 The length of BC = 12.5cm

Step-by-step explanation:

Step(i):-

Given that  ΔABC

Given that  AB =  15cm and ∠A =  40°

we will use trigonometric function

                     [tex]tan x = \frac{oppositeside}{adjacentside}[/tex]

                   [tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]

Step(ii):-

we know that tan40° = 0.83909

                 [tex]tan 40^{0} = \frac{BC}{15}[/tex]

                BC =  15 × tan 40°

                BC = 12.58649

                BC = 12.5cm

Final answer:-

 The length of BC = 12.5cm

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

Answer:

3/5 mile/h

Step-by-step explanation:

velocity = distance / time

then 1/5 / 1/3 = 1/5 * 3/1 = 3/5

Answer

Answer:

p=0.60w

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

p=kw

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

k=4.38/7.3=0.60per lb

substitute in the equation

p=0.60w

Step-by-step explanation:

brainliest?