Part A: To the nearest tenth of an inch, what was the circumference of the circular pie before the slice was
cut out?
Part B: To the nearest inch, what was the area of the circular pie before the slice was cut out?
Part C: To the nearest tenth of an inch, what is the area of the slice of pie that was cut out?
Part D: To the nearest inch, what is the length of the curst for the slice of pie that was cut out?
Next Question
Question 1 of 2
Answers
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.
Related Questions
Find the cost of tiling the floor of a room which is 250m long and 100m wide at the rate of Tk.
80 per m2.
Answers
Answer:
2000000Taka.
Step-by-step explanation:
Area of the room= 250x100
=25000m²
Each m²= Tk 80
so, 25000x80
=2000000 Taka.
plz mark me as brainliest !
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18
Answers
Answer:
x = 10
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
The sum of the exterior angles of a decagon = 360°
Decagon = 10 sides
Each angle in a decagon = 360/10
= 36°
We are told that:
Each exterior angle of a regular decagon has a measure of (3x + 6)°.
Hence,
(3x + 6)° = 36°
Collect like terms
3x = 36 - 6
3x = 30
x = 30/3
x = 10
Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021
Step-by-step explanation:
pls help asap will make brainliest
Answers
Answer:
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In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.
Answers
Answer:
I think B is the correct answer, sorry im not very good with math tho.
Step-by-step explanation:
Sorry if its incorrect
Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *
Answers
Answer:
sparky is 4 years older than cookie
__________________________
hope this helps, I wasn't entirely certain what the question was.
Erica is using the storage container below. What is the volume if the storage container?
Answers
Answer:
7
Step-by-step explanation:
1x2=2x3/1/2= 7
Answer:
7
Step-by-step explanation:
I did the question
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please
Answers
Answer:
12,300
Step-by-step explanation:
I'll right this as a function to make it easier on me.
f(x) = 7500(1 + 0.8)^x
f(2) = 7500(1 + 0.8)^2
f(2) = 7500(1 + 0.64)
f(2) = 7500(1.64)
f(2) = 12300
Answer:
$8700
Step-by-step explanation:
0.08 x 2 yrs = 0.16
7500 x 0.16 =1200
7500 + 1200 = 8700
How to simpfly fractions?
-Step by step
-Answer 15/36
Answers
Answer:
5/12
Step-by-step explanation:
15÷3/36 ÷3
the answer is 5/12
Answer:
5/12
Step-by-step explanation:
15/36 ÷ 3
5/12
mark mope brainliest
3 3
Insert three rational and three irrationall
no. between 150 and
and 0
160
Answers
Answer:
Step-by-step explanation:
Rational numbers:
(150+160)/2 = 310/2 = 155
(150+155)/2 = 305/2= 152.5
(155 +160)/2 = 315/2= 157.5
155, 152.5 , 157.5 are rational numbers between 150 and 160
Irrational numbers:
Irrational numbers are numbers that are non terminating and non repeating numbers
155.502003000.....
155.202002000......
156.3120578.......
Answer:
Required Answer :-1st rational number
= a + b/2
= 150 + 160/2
= 310/2 (1)
2nd rational number
Middle term of 150 and 160 is 155
= 150 + 155/2
= 305/2
3rd rational number
= 160 + 155/2
= 315/2
[tex] \\ [/tex]
Complete the table and graph the solutions of the the equation is y = 2x + 1
Answers
What is easier math or reading? Explain why.
Also be serious when answering
Answers
Answer:
That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.
Step-by-step explanation:
Answer:
reading is easier than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math there for reading is easier than math
Step-by-step explanation:
99 newspapers in 3 piles
Answers
Answer:
33 newspapers per 1 pile.
Step-by-step explanation:
33+33+33=99
Answer:
there would be 33 news papers in each pile
Step-by-step explanation:
when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.
Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??
Answers
Answer:
y = 2x +14
Step-by-step explanation:
2y - 4x = 10
=> 2y = 4x + 10
=> y = 2x + 5
↑ the slope of this equation
parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.
plug in point (-6, 2) & the slope "2" into the equation: y = ax + b to find "b."
=> 2 = -6(2) + b
=> b = 14
plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b
=> y = 2x +14
Please answer!! No links!! Thx :D
Answers
Answer:
60 seconds
Step-by-step explanation:
The y-intercept is 60
What is the measurement in the diagram?
Answers
9514 1404 393
Answer:
(a) 132
Step-by-step explanation:
Exterior angle DBA is the sum of the remote interior angles D and C.
∠DBA = 65° +67°
∠DBA = 132°
The total area of a rectangular shaped playground is 24 1/2 squared meters. If the width of the playground is 3 1/2 meters, which of the following is the length of the playground?
a. 7m
b. 28m
c. 85.75m
d. 0.7m
Answers
Answer:
a
Step-by-step explanation:
How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know
Answers
Answer:
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
Step-by-step explanation:
Answer:
There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.
Step-by-step explanation:
the correct answer
Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.
Answers
Answer:
[tex] m\angle BCA= 33\degree[/tex]
Step-by-step explanation:
[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
[tex] \therefore AB\perp BC[/tex]
[tex] \therefore \angle ABC = 90\degree [/tex]
[tex] In\: \triangle ABC, [/tex]
[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]
[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]
[tex] 147\degree +m\angle BCA= 180\degree [/tex]
[tex] m\angle BCA= 180\degree - 147\degree[/tex]
[tex] m\angle BCA= 33\degree[/tex]
Find the length of the arc. Round your answers to the nearest tenth.
Answers
Answer:
89.5 cm
Step-by-step explanation:
circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm
(270/360)(119.32) = 89.5 cm
Jaylah has two packages of trail mix. The first package weighs 2.40 pounds and the second package weighs 3.25 pounds. She mixes the two packages together and forms smaller bags amounts that weigh 0.25. What is the greatest number of 0.25 bags Jaylah can make using the trail mix she has?
Answers
1 What is the solution to the system of equations? (2 Points) x + y = 8 and - x + 3y = 4 O a. (-2, 10) O b. (10,-2) c. (3,5) O d. (53)
Answers
Answer:
(5 , 3)
Step-by-step explanation:
x + y = 8 ----------------(I)
-x + 3y = 4 ----------(II)
Add equation (I) and (II) and so x will be eliminated and we can find the value of y
(I) x + y = 8
(II) -x + 3y = 4
4y = 12 {Divide both sides by 4}
y = 12/4
y = 3
Plugin y = 3 inn equation (I)
x + 3 = 8 {Subtract 3 from both sides}
x = 8 -3
x = 5
what number can you use in place of the pi symbol
Answers
Answer:
You can use 3.14 or 22/7 in the place of π.
Answer:
3.14
Step-by-step explanation:
22/7 when simplified is 3.142857143 and pi is 3.141592654
I need help what is d/7 > 15???
Answers
Answer:
d>107
Step-by-step explanation:
I am sorry if you got this wrong..
write a quadratic function in the given form whose graph satisfies the given condition.
passes through (-4, 0), (2, 0), & (6, -20) in intercept form.
pls dont just steal points away...i rly need help with this...can you provide work to if not thats ok
Answers
Answer:
[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]
Step-by-step explanation:
We want to find a quadratic that passes through the points:
[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]
In intercept form.
First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:
[tex]y=a(x-p)(x-q)[/tex]
Where p and q are the x-intercepts, and a is the leading coefficient.
So, we will substitute -4 and 2 for p and q:
[tex]y=a(x-(-4))(x-(2))[/tex]
Simplify:
[tex]y=a(x+4)(x-2)[/tex]
Next, the third point (6, -20) tells us that y = -20 when x = 6. So:
[tex](-20)=a(6+4)(6-2)[/tex]
Solve for a:
[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]
Thus:
[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]
Hence, our equation in intercept from is:
[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]
Item costing $16 is sold for $27.50 what's the markup? Whats the% of markup on cost and selling price?
Answers
Answer:
The market up is 11.5$.......
The polygons in each pair are similar. Find the missing side length.
A.4
B.3
C.3
D.7
Answers
Answer:
A. 4
Step-by-step explanation:
If the length 6 become 3 in the corresponding side of the congruent shape,
then 8 becomes 4 (Ratio 2:1)
Hope this helps
I’ll give brainiest!
What is the length of BD?
Round to one decimal place.
С
3.4
6.5
D
?
8
0 0
A
4.9
B
Answers
Answer:
[tex] BD \approx 2.6[/tex]
Step-by-step explanation:
By angle bisector theorem:
[tex] \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6[/tex]
help asap plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
75 divided by 15 = 5 undershirts.
At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?
Answers
Answer:
-17°C at sunset
15°C at sunrise
Javier researched how much his baseball team made in concession stand sales during the last 6 games.
$84, $70, $82, $28, $72, $84
Part A:
Calculate the measure of center--the median and the mean of the data Javier gathered.
Part B:
Using the calculations you made in Part A, explain which measure would be more representative of Javier's data.
B
The calculations you make in Part A ,  which measure would be more Representative of Javier's data