Mrs. Child bakes pumpkin pies using a deep‐dish pie plate with a 9 inch diameter. If she cuts her pies into 12 equal slices and you eat two slices for dessert, what is the total length of the crust you have eaten?

Answers

Answer 1

Answer:[tex]4.71\ in.[/tex]

Step-by-step explanation:

Given

diameter of pie is [tex]d=9\ inch[/tex]

radius [tex]r=\frac{9}{2}=4.5\ inch[/tex]

If child divides pie into 12 equal parts then each part subtends an angle of

[tex]=\frac{360^{\circ}}{12}=30^{\circ}[/tex] at the center

and crust length of single piece is

[tex]=\frac{30}{360}\times 2\pi r[/tex]

[tex]=\frac{1}{12}\times 2\times \pi \times 4.5[/tex]

[tex]=2.35\ in.[/tex]

For two slice length is [tex]2\times 2.35=4.71\ in.[/tex]

Thus the total length of crust eaten is [tex]=4.71\ in.[/tex]


Related Questions

a 1/12
b 36/1
c 1/36
d 1/6

Answers

Answer:

c

Step-by-step explanation:

the answer would be c. 1/36

What is the simplified form of the expression?

Answers

Answer:

The answer is A - a. -6a^2/b  b. 5y^3

24+j= 37.947 I need to solve for j

Answers

The answer is
j=13.947

Answer:

j= 13.947

Step-by-step explanation:

j=37.947-24

so j= 13.947

Observe the graph below and determine the exponential function.
PLEASE HELP FAST

Answers

Step-by-step explanation:

I think the exponential function is 4,-8

Answer:

f(x) = 1/4

Step-by-step explanation:

I used google, and I wish there were some answer choices!! If there are, let me know!!

a triangular section of a farm is enclosed by fences that are 2 meters, 6 meters, and 7 meters long, estimate the area of the section

Answers

Final answer:

To estimate the area of a triangular section with sides 2 meters, 6 meters, and 7 meters, you can use Heron's formula. The semi-perimeter is 7.5 meters. The estimated area of the triangle is approximately 5.56 square meters.

Explanation:

To estimate the area of a triangular section of a farm enclosed by fences that are 2 meters, 6 meters, and 7 meters long, we can use Heron's formula. First, we calculate the semi-perimeter (s) of the triangle:

s = (a + b + c) / 2s = (2 + 6 + 7) / 2s = 15 / 2s = 7.5 meters

Now, we use Heron's formula to find the area (A):

A = √(s(s-a)(s-b)(s-c))A = √(7.5(7.5 - 2)(7.5 - 6)(7.5 - 7))A = √(7.5 * 5.5 * 1.5 * 0.5)A = √(30.9375)A ≈ 5.56 square meters

Therefore, the estimated area of the triangular section of the farm is approximately 5.56 square meters.

I need help pleaseee (10 points)

Answers

Answer:

(x+9) (x+9)

Step-by-step explanation:

hope this helps ;/

Answer:

(x+9)(x+9)

Step-by-step explanation:

What’s the diameter of circle 0?

Answers

Answer:

AC

Step-by-step explanation:

A diameter is a straight line passing through the center of the circle.  O is the center of the circle and AC is passing through O.

If a dog is tied to a rope 15 feet long, how can it reach a bone

30 feet away? The rope isn't

T

E - TO - N - -HI-

5.4

13.4

8.6

10.6 1.4

10

Answers

Answer:

The other end of the rope was not tied to anything

Step-by-step explanation:

The dog was tied to a rope of 15 feet  long and the bone was 30 feet away from where he was tied. The rope used to tie the dog is 15 ft long . But the other end of the rope wasn't tied to anything, this simply means the dog can easily approach and get the bone 30 ft away from where it was tied.

The other end of the rope was not tied to anything . This implies that the dog can simply reach the bone without breaking a sweat. The 15 feet rope was only tied to the dog , so it does not stop the dog from reaching a bone that is 30 ft away.

Inequality stuff... look at image for the question. An explanation would also be nice, but you can comment it along with the answer.

Will give Brainliest for the correct answer! :]

Answers

Answer:

x>-8

Step-by-step explanation:

When you multiply (or divide) both sides of an inequality by a negative number (in this case -1), you need to flip the inequality symbol. For instance in this case, -x<8 is the same as x>-8. This is because you know that if -x is less than 8, if x is less than -8 then the inequality wouldn't be true any longer. This can be demonstrated with an example: Say that x is -10. -(-10) is 10, and no longer smaller than 8. Therefore, x>-8. Hope this helps!

Does anyone know the question to this?

Answers

Answer:

120

Step-by-step explanation:

10x3=30x4=120

Shwetha comes to the swimming pool once every 12 days. Vinnie comes once every 4 days and Olga comes once every 10 days. Last Monday all of them were in the pool. In how many days all of them will meet at the swimming pool again? What day of the week will it be?

Answers

Answer:

60 days, Friday

Step-by-step explanation:

This problem is solved using concept of LCM.

LCM is the least number which is the common multiple of given set of different number.

To find the LCM  we method of prime factors, the steps are given below

get all the all the prime factor of the given set of numberselect all the prime factors   as many times they occur in given set of numbermultiply together the numbers selected together to get LCM

________________________________________________

Given

frequency of visiting swimming pool by Shwetha = once in 12 days

factors of 12 = 2 * 2 * 3

frequency of visiting swimming pool by Vinnie = once in 4 days

factors of 2 = 2 * 2

frequency of visiting swimming pool by Olga = once in 10 days

factors of 10 = 2 * 5

minimum no of days after which they will be visiting together will be least common multiple of number of days after which they visit swimming pool individually.

Selecting the prime numbers with their highest occurrence

we have 2, 2, 3 ,5

multiplying them together we have

2 * 2 * 3* 5 = 60

therefore 60 is the LCM of 12, 4, 10

it means that Shwetha, Vinnie and Olga will visit swimming pool together once in 60 days

It is given that they visited on Monday  and now they will visit after 60 days again.

since in one week there are seven days, every eighth day will be monday

so we divide 60 days by 7 to see how many cycles of monday has passed.

60/7 = 8  4/7

It suggest that 8 weeks has passed and they will meet on 4 days after Monday  which will be Friday.

Thus they will meet meet at the swimming pool again in 60 days.

It will be Friday.

Answer:

60 days, friday

Step-by-step explanation:

After chamar poured 2 liters of water into a large jug, the jug contained 10 liters of water. How many liters were in the jug to start

Answers

Answer:

8

Step-by-step explanation:

10 - 2 = 8

Answer:

8

Step-by-step explanation:

10-2=8

8 is how many it started with

Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of
equations
4x - 2y - 5z = -51
4x - y - 2z = -36
4x - 2y + 4z = -24
a. (-6, 6, 3)
C (-6, 6, 62)
b. (-62, 62, 30)
d. (-62, 6, 62)

Answers

Answer:

A. ( -6, 6, 3)

Step-by-step explanation:

100% correct

Are you a boy or a girl

Answers

Answer: A boy

Step-by-step explanation: I'm a boy

Answer: Girl!

Step-by-step explanation: why? Oof

A restaurant charged one customer $28.20 for 3 small dishes and 5 large dishes and charged another customer $23.30 for 4 small dishes and 3 large dishes. What will 2 small and 4 large dishes cost?

Answers

Answer:

Let s and l be the price of small and large dishes. The first equation is

While the second equation is

(I assume that you meant "4 small dishes and 3 large dishes")

If we multiply the first equation by 4 and the second by 3 we have

Subtract the two equation and you have

Substitute this value in one of the equation to derive

So, one small dish costs 2.9 and one large dish costs 3.9. This means that 2 small and 4 large dishes cost

Step-by-step explanation: Brainliest Answer Plz

Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid. Marisol spent 1/5 as much as Fernando on the same jacket but sold it for 1/2 as much as Fernando did. How much money did Marisol make? Explain your thinking using a diagram

Answers

We have been given that Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid.

Let us find selling price of jacket as:

[tex]\text{Selling price of Fernando's jacket}=\$185\times 1\frac{1}{2}[/tex]

[tex]\text{Selling price of Fernando's jacket}=\$185\times \frac{3}{2}[/tex]

[tex]\text{Selling price of Fernando's jacket}=\$277.5[/tex]

We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.

[tex]\text{Cost of Marisol's jacket}=\$185\times \frac{1}{5}[/tex]

[tex]\text{Cost of Marisol's jacket}=\$37[/tex]

We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.

[tex]\text{Selling price of Marisol's jacket}=\frac{\$277.5}{2}[/tex]

[tex]\text{Selling price of Marisol's jacket}=\$138.75[/tex]

The amount of money earned by Marisol would be selling price of jacket minus cost.

[tex]\text{Amount of money earned by Marisol}=\$138.75-\$37[/tex]

[tex]\text{Amount of money earned by Marisol}=\$101.75[/tex]

Therefore, Marisol made $101.75.

If the probability that event A takes place is 0.299, what is the probability of event A not
happening?

Answers

Answer:

0.701

Step-by-step explanation:

0.299=299/1000

probability of not happening=1000-299/1000

=701/1000

=0.701

hope I helped

please like and Mark as brainliest

If the product of two integers is positive, their signs are positive or negative

Answers

Their signs are positive. if you multiple a positive by a positive, you get a positive. but if you multiple a negative by a negative, you get a positive. if you multiply two of the same sign numbers, the product is always positive.

What is the difference in the Volume Formula for a prism and a pyramid. *

Answers

Answer:the volume of a prism is the area of the base times the height of the prism. The volume of the pyramid has the same base area and height as the prism, but with less volume than the prism. The volume of the pyramid is one third the volume of the prism.

Step-by-step explanation:

i hope this helps

The lowest temperature in January was less than−6°. Which could be the lowest temperature in January?

Answers

The lowest temperature in January is -10°C.

What are Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

The lowest temperature in January was less than−6°.

as, we know in integers the smaller the number the grater its value.

such as -100 < (-1)

So, -6 > -10

and, -6 < 0

and, -6 < -5

and, -6 < -2.

Thus, the lowest temperature is -10°C.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ6

Final answer:

The lowest temperature in January can be any temperature that is less than -6°.

Explanation:

The question asks for the lowest temperature in January, given that it is less than -6°. Since the question does not provide a specific range, any temperature that is less than -6° can be considered the lowest temperature in January. For example, -10°, -15°, or -20° can all qualify as the lowest temperature in January.

What is the first step to solving this
equation?
4(2x-3)=4

Answers

Answer:

x=2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(2x−3)=4

Step 1: Simplify both sides of the equation.

4(2x−3)=4

(4)(2x)+(4)(−3)=4(Distribute)

8x+−12=4

8x−12=4

Step 2: Add 12 to both sides.

8x−12+12=4+12

8x=16

Step 3: Divide both sides by 8.

8x /8 = 16 /8

x=2

Answer:

x = 2

Step-by-step explanation:

4(2x-3) = 4

4 × (2x-3) = 4 × 1

(2x-3) = 1 (divide both sides by 4)

2x = 1 + 3 (Move 3 to the right hand side)

2x = 4

x = 4/2

x = 2

someone pls help me with this

Answers

Answer:

0.75 packs of paper

Step-by-step explanation:

9 packs of paper divided evenly to 12 students:

9 divided by 12 = .75

Hope this helps!!

Please help. worth 60 points

Answers

Help you with what I don’t see anything

Answer:

What am I supposed to help you with?

Step-by-step explanation:

At the movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. Who is the first customer that is going to win both free items?

Answers

Answer:

The 150th person

Step-by-step explanation:

popcorn will be given out 5 times

and the drink 2 times.

30 times 5 equals 150

75 times 2 equals 150

Answer:

The answer I got is The 150th person

100% should be right

A spa charges $125 for a one hour massage and $250 for a
pedicure + 90-minute massage package. One day, the spa had
27 customers and made $5,250.
How many massages, x, and pedicure + 90-minute massage
packages, y, did the spa perform? Express your answer as an
ordered pair (x,y).
Enter the answer

Answers

Let x represent number of massages and y represent number of pedicure + 90-minute massage packages.

We have been given that a spa charges $125 for a one hour massage, so amount earned from x massages would be [tex]125x[/tex].

The spa charges $250 for a pedicure + 90-minute massage package, so amount earned from y pedicure + 90-minute massages will be [tex]250y[/tex].

We have been given that one day the spa had 27 customers. We can represent this information in an equation as:

[tex]x+y=27...(1)[/tex]

[tex]y=27-x...(1)[/tex]

Since spa made $5,250, so amount earned from both massages would be equal to 5,250. We can represent this information in an equation as:

[tex]125x+250y=5250...(2)[/tex]

Upon substituting equation (1) in equation (2), we will get:

[tex]125x+250(27-x)=5250[/tex]

Let us solve for x.

[tex]125x+6750-250x=5250[/tex]

[tex]-125x+6750=5250[/tex]

[tex]-125x+6750-6750=5250-6750[/tex]

[tex]-125x=-1500[/tex]

[tex]\frac{-125x}{-125}=\frac{-1500}{-125}[/tex]

[tex]x=12[/tex]

Upon substituting [tex]x=12[/tex] in equation (1), we will get:

[tex]y=27-12=15[/tex]

Therefore, the spa performed 12 one hour massages and 15 pedicure + 90-minute massage  packages that is [tex](12,15)[/tex].

What are the x- and y-intercepts of the function graphed below?*

(0, 3) and (6,0)

(3,0) and (0,6)

(3,0) and (6.0)

(0.3) and (0,6)

Answers

Answer:

(3,0) and (0,6)

Step-by-step explanation:

(x,y) is the only way to make ordered pair.

The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).

Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.

So the answer is (3,0) and (0,6).

(3,0) and (0,6) is the answer

Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn it babysitting this weekend. If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have after paying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is y = x .

Answers

Answer:

y=8x-32.5

Step-by-step explanation:

8 dollars an hours = slope

-32.5 owed = y-intercept

The temperature in a greenhouse should be 65 degrees or higher. One​ morning, the heater stopped working. The temperature dropped 6 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped​ working?

Answers

Final answer:

The temperature in the greenhouse before the heater stopped working was at least 71 degrees Fahrenheit, based on the information that the temperature dropped 6 degrees but remained at least 65 degrees.

Explanation:

As the temperature dropped 6 degrees and was still at least 65 degrees when the heater was fixed, we can set up a simple inequality to represent this situation:

Let T represent the temperature before the heater stopped working. After the heater stopped working and the temperature dropped by 6 degrees, the new temperature would be T - 6. According to the provided information, this new temperature was still at least 65 degrees, which gives us the inequality:

T − 6 ≥ 65

Adding 6 to both sides of the inequality, we find:

T ≥ 71

This means that the temperature in the greenhouse before the heater stopped working was at least 71 degrees.  

May I please get help with this question?

Answers

The answer should be 42 times.


How many significant digits are there in the product of 0.005 and 25.725
a. 0
b. 1
c. 2
d. 3

Answers

a is the correct answe

Answer:

its D 3

Step-by-step explanation:

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