A circle is drawn to represent a pizza with a 12
inch diameter. The circle is cut into eight
congruent pieces. What is the length of the outer
edge of any one piece of this circle?

Answers

Answer 1

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

Answer 2

The length of the outer edge of any one piece of this circle will be 4.71 inches.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360°) 2πr

A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,

θ = 360° / 8

θ = 45°

And the radius is given as,

r = 12/2

r = 6 inches

Then the length of the outer edge of any one piece of this circle will be

Arc = (θ/360°) 2πr

Arc = (45/360°) 2π x 6

Arc = 1/4 x 3.14 x 6

Arc = 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2


Related Questions

Hurry ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A bag contains 6 blue coins and 5 red coins. A coin is removed at random and replaced by three of the other color. What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. The probability that the removed coin is blue is ...?

Answers

Answer:

6/11

Step-by-step explanation:

total number of coins = 11

number of blue coins = 6

p(blue) = 6/11

Answer:

heyy.

Step-by-step explanation:

halp please. MY c-ptsd is acting up and i cant be a emo baddie rn

Answers

Answer:

24 square units

Step-by-step explanation:

Answer number 14. It’s very difficult for me and i need some help.

Answers

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.

The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.

Answers

Answer:

please see photo for detailed analysis

how do you solve -4 + y = 6 and y= 7x - -6 by substitution?

Answers

Answer:

by doing the math

Step-by-step explanation:

do (7x)-(-6) then the other problem and find out witch one is more

Answer:

x=4/7 and y=10

Step-by-step explanation:

To solve for x, we must isolate y in one of the equations to then insert it into the other equation. We can take the first equation, -4 + y = 6, and add 4 to both sides. This gives us y = 4+6, or y = 10. Since y is a variable, we can subsititute 10 into the second equation, y = 7x - (-6), giving us 10 = 7x - (-6). The minus negative six is equal to plus six. This gives us 10 = 7x +6. Now we can solve for x. Subtract 6 from both sides; 4 = 7x. Now to find x, we have to divide both sides by 7. This gives us x = 4/7.

Chloe's new lunch box is only 5 centimeters in height, so it fits in her backpack along with all her books. The lunch box has 3 sections for different types of food. The length and width of the lunch box are 22 centimeters and 14 centimeters. What is the volume of Chloe's new lunch box?

Answers

Answer:

1,540

Step-by-step explanation:

length times width times height makes the volume

Hope this helps

BTW it's my birthday

if she’s fat probably the whole table but if she skinny then maybe a box of salad

b. Tyler's playlist has 36 songs. Noah's playlist has one quarter as many songs as
Tyler's playlist. How many songs are on Noah's playlist?
w = 4 times 36
w = 36 divided by 4
4w = 36
w/4 = 36

Answers

Answer:

9 songs

Step-by-step explanation:

¼ of 36

¼ × 36 = 9

Help please + I need explanation

Answers

Answer:

61 degrees

Step-by-step explanation:

The THREE angles in the diagram sum to 180 degrees ( straight line = flat wall)

3x+1     +   58   +   4x-19     = 180

solve for x = 20     then A = 3x+1 = 61 degrees

The second term of an arithmetic sequence is –39. The rule a, - a-1 +12 can be used to find the next term of the
sequence. What is the explicit rule for the arithmetic sequence?

Answers

Answer:

a 2 = -39

a 2 = a 1 + 12

- 39 = a 1 + 12

a 1 = - 39 - 12

a 1 = - 51 ( first term )

The common difference is : d = 12

The explicit rule for the arithmetic sequence:

a n = a1 + ( n - 1 ) d

a n = -51 + ( n - 1 ) · 12

Step-by-step explanation:

Use the scale factor 1:8 to find the missing dimension.

Item = baby giraffe
model = height = cm
actual = height = 1.84m

Answers

Answer:

0.23 m or 23 cm

Step-by-step explanation:

Accordingto the scale factor, the model is 8 times smaller than actual figure.

Its height is:

1.84 m * 1/8 = 0.23 m or 23 cm
model: actual=1:8model=actual/8

So

Actual=1.84m

Model:-

1.84/80.23m

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

13.4 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

12^2 + b^2 = 18^2

144 + b^2 = 324

Now we subtract!!

324 - 144 = b^2

180 = b^2

Now we need to find the square root!!

[tex]\sqrt{180}[/tex] = 13.4

Have an amazing day!!

Please rate and mark brainliest!!

sinxcscx - cos^2x = sin^2x Verify it pls explain how so i know how to do it

Answers

Step-by-step explanation:

sin(x)×csc(x) - cos²(x) = sin²(x)

csc(x) = 1/sin(x) (basic definition)

therefore,

sin(x)×csc(x) = sin(x) × 1/sin(x) = 1

1 - cos²(x) = sin²(x)

1 = sin²(x) + cos²(x)

and that is again a basic definition based on the standard circle with radius = 1. there we have the Pythagoras principle, as sin and cos are the legs of a right-angled triangle, with radius 1 being the Hypotenuse.

Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x + 25 = 8

Answers

the correct answers are A and D

Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.

Write the probability as a fraction in simplest form

Answers

11\44 for the dime, and 12\44 for the penny.

Step-by-step explanation:

11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.

i need help with this

Answers

Two independent variables that can affect the cost of the supplies are:

x = number of pencils bought.y = number of notebooks bought.

What is an independent variable?

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

x = number of pencils bought.y = number of notebooks bought.

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

If you want to learn more about independent variables, you can read:

https://brainly.com/question/82796

Find the perimeter 8ft 4ft

Answers

THE ANSWER OF 8FT4FT IS 24Ft

It is estimated the value of a new car decreases by 30% after one year of ownership. Find the
value of a car after one year of ownership if the cost of the new car was $24,300.

Answers

Answer: 17 010

If $24300 is the 100% (full price), then after year it would be 70% of that cost (because 100% decreases by 30% in a year). We can cross multiply the values:
$24300 100%
x 70%
so cross multiplying: 100 with x and 24300 with 70
-> 100x = 1701000
so the x will be 17010

Does sin, cos, tan work for all triangles?

Answers

Answer:

No

Step-by-step explanation:

SOH CAH TOA, or sin cos tan, only works on right triangles.

What is the value of c if, 2c + 8 = 26 ?

A.
9

B.
42

C.
18

D.
34

Answers

Answer:

Option A

The answer is 9

Step-by-step explanation:

2c + 8 = 26

Subtract 8 from both side we get,

2c + 8 – 8 = 26 – 8

2c = 18

Divide both side by 2 we get,

2c/2 = 18/2

c = 9

Thus, The value of c is 9

2c + 8 = 26
2c = 26 - 8
2c = 18
c = 18 / 2
c = 9

Round 3.993 to the nearest hundredth
A. 3.90
B. 4
C. 3.9
D. 3.99​

Answers

Answer:

Step-by-step explanation:

3.993,

3.99


PLS HELP
it is the last question ignore the lesson and pg number ;)

Answers

Answer:

Step-by-step explanation:

Solve please will mark brainliest

Answers

hello! for this equation the formula is:
a times (a+b)= c times (c+d)

4 times (4+18)=4 times 22=88
88=6 times (6+x)=6x+36
88=6x+36
88-36=6x
6x=52

x= 8 and 2/3

Mr. Holmes wanted to buy a computer that costs $900 and a printer that costs $250. He has
$100. Write an equation that can be used to find A, the amount of money still needed in order to
buy both the computer and the printer?

Answers

Answer:

900+250-100=1050

Step-by-step explanation:

computer cost plus printer cost subtracting his current amount equals the total amount left he needs to pay for both of the appliances.

X-5y= -3

3x-5y=11


please show work

Answers

Answer:

x= -4

Step-by-step explanation:

You need to the elimination method!

x-5y=-3

3x-5y=11

You need to multiply the top by -1

This means every number has to be multiplied by -1 on the x-5y=-3

-x+5y=3

3x-5y=11

The 5y's should cancel out

-x=3

3x=11

Now do -x+3x and 3-11

2x=-8

x= -4

The radius of a semicircle is 17 millimeters. what is the semicircle's perimeter?

Answers

Answer:

87.407

Step-by-step explanation:

circumference = 2*pie*r

= 2*pie*17

=106.8/2

=53.4

53.4+(17*2)

=87.4

Answer:

Step-by-step explanation:

it 87.38

TRUST ME

Write the following in scientific notation?
(Math 8th)

Answers

Answer:

the answer is 3.25 x 10^-4

Step-by-step explanation:

The standard trampoline has a diameter of 14 feet. What is its area?

Answers

Answer:

The area is 154 square feet

Step-by-step explanation:

What is the perimeter of this quadrilateral?
(5,5)
(2, 4)
(4, 1)
(6, 1)

Answers

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}[/tex]

[tex]BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}[/tex]

[tex]DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89[/tex]

4.
Which point on the number line
represents 0.3?

Answers

Answer:

Point C

Step-by-step explanation:

because the number is 0.3 you need to start at zero on the number line and go forward 3 marks. That will lead you to your answer of 0.3

Answer: it’s C because it’s the one that’s closer to 3 if u need help just ask

Step-by-step explanation:

Hope this helps

-3

7 of 7
Text-to-Speech
7. The area of a rectangle is 84 square meters. The length of the rectangle is 5 meters
shorter than the width. What is the length, in meters, of the rectangle?
А 4
B.7
C 12
D 21

Answers

wendy bought widget stock at 14.125 and sold it for 18 what was the percent of increase
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