Find the surface area. Show ALL your work!

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:

Step-by-step explanation:

Answer:

Whats the question??

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Amy started with 28 dollars and bought 7 pens, then had 20.30 dollars, we can subtract to find the price of all 7 pens.

28-20.30=7.70 dollars

now to find the amount for EACH pen, we divide by 7

7.70/7=1.1

each pen costed Amy 1 dollar and 10 cents with tax

Answer:

$1.10

Step-by-step explanation:

$28-$20.30=$7.70

7.70 divided by 7= 1.10

so each pen must cost $1.10

Answer:

-8 x -3 = 24.

Step-by-step explanation:

When to negatives are multiplied, they automatically become positive.  Therefore, 8 x 3 = 24.

Answer:

(8x7)\2 + x =5

Step-by-step explanation:

8x7= 56 \2 28+x= 33

this what teacher explain to us

Answer:

(13, 16)

Step-by-step explanation:

Point A has coordinates (3,2) Point b has the coordinates (27,30)

Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit

The length of the square = 28 unit / 4 square = 7 unit

Also, half of the height of the diagram = 28/2 = 14 unit

Therefore the x coordinate is given by:

27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13

Also, the y coordinate is given by:

30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16

Therefore the coordinate for point C is given by (13, 16)

hope it help :)

Answer:

3/5 mile/h

Step-by-step explanation:

velocity = distance / time

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

Answer:  12

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

since you can't have 1.5/4, which was how much he Josh put on each day, you have to multiply the denominator and the numerator for a more complex fraction. So 1.5/4 x 2 for both = 3/8.

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

[tex]\dfrac{1}{4}(\dfrac{1}{3}k+9)=6[/tex]

Step 1.

Cross multiplying,

[tex](\dfrac{1}{3}k+9)=24[/tex]

Step 2.

Subtract 9 from both sides

[tex]\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15[/tex]

Step 3.

Cross multiplying

[tex]k=15\times 3\\\\k=45[/tex]

So, there is an error in step 3. The correct answer should be 45.

Answer:

1010a

Step-by-step explanation:

Mathematically, when a number is raised to a fraction, it simply means we are to find the root of that number to the denominator of the given fraction

For example;

100,000^1/5

= 5 x√((100,000) = 10

Likewise;

1,000,000^1/2 = √(1,000,000) = 1000

Thus, we have it that;

10 * a + 1000 * a

= 10a + 1000a = a(1000 + 10) = 1010a

Answer:

10 smoothies

Step-by-step explanation:

because each 3/8th yields 2 smoothies and the leftovers from each cup made 2 more.

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?

Answer:

x=3.2

Step-by-step explanation:

2.5x=8

divide both sides by 2.5

x=3.2

Answer:

x = 3.2

Step-by-step explanation:

[tex]2.5x = 8[/tex]

[tex]2.5x - 2.5 = 8 \div 2.5[/tex]

[tex]x = 8 \div 2.5[/tex]

[tex]x = 3.2[/tex]

Answer:

2

Step-by-step explanation:

This is because the other ones were going to be spent on something else, but then they were spent on magazines or flowers.

Answer:

2

Step-by-step explanation:

The other are impulse purchases:

1. She does not buy the groceries because she wanted magazines.

3.She does not buy the groceries, instead she buys flowers.

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

Step-by-step explanation:

(Steve's distance from the tip of the monument I'm assuming?)

ans: about 893.92 ft (√798,025)

a²+b²=c²

a=700

b=555

Step-by-step explanation:

Hi,

For the first screenshot, your answer will be...

A) 1/10 + 1/4 ≤ 1

And for the second screenshot, your answer will be...

A) d ≤ -1/2n + 5

I hope this helps :)

Answer:a*b=b*a

hence verified

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:

2.389 × 10^5

Step-by-step explanation:

the coefficient must be between 1 to 10

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!

Answer:

m j ubhyb8yvtucvyrrd86rfutiy

Step-by-step explanation:

Answer:

exterior angle is equal to the sum of two interior opposite angle

?=53+53=106°

missing exterior angle =106°

The measure of the exterior angle is 106°.

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.

Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,

Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.

Therefore,

53° + 53° = x

x = 106°

Hence, the exterior angle is 106°

Learn more about exterior angles, click;

https://brainly.com/question/28835566

#SPJ2

Answer:

The car arrived at 10:10

Step-by-step explanation:

1. Break up the time the journal took to make it easier

9:45 + 15 minutes = 10:00

10:00 + 10 minutes = 10:10

2. Check your answer

10 + 15 = 25 minutes total

Answer: 10:10 am or pm

Step-by-step explanation:

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:

484

Step-by-step explanation:

484=22^2

Answer:

11 persons chosen to participate in the survey

Step-by-step explanation:

A certain fraction or percentage of subjects or persons drawn randomly from a larger population is called a sample. A randomly selected set of sample will be representative of the population especially when it is impossible for the whole population to participate in the study. In the scenario above, the population or larger group would be the set of volunteers. The actual number of people chosen from the group of volunteers to participate in the survey is the sample, which are the 11 people chosen from the volunteers.