1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksley [76]
3 years ago
9

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?
Mathematics
1 answer:
andrew11 [14]3 years ago
5 0

Answer:4.71\ in.

Step-by-step explanation:

Given

diameter of pie is d=9\ inch

radius r=\frac{9}{2}=4.5\ inch

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

=\frac{360^{\circ}}{12}=30^{\circ} at the center

and crust length of single piece is

=\frac{30}{360}\times 2\pi r

=\frac{1}{12}\times 2\times \pi \times 4.5

=2.35\ in.

For two slice length is 2\times 2.35=4.71\ in.

Thus the total length of crust eaten is =4.71\ in.

You might be interested in
A cave explorer is at an elevation of negative 38 feet. The explorer starts moving at a rate of negative 12 feet per minute. Ide
Ksivusya [100]

Answer:

-38 - 12x < 200

Step-by-step explanation:

Given,

The original elevation = -38 feet,

Also, the explorer starts moving at a rate of negative 12 feet per minute.

So, the distance covered by explorer after x minutes = -12x feet,

Thus, the final elevation = original elevation +  distance covered by explorer

= -38 - 12x

According to the question,

final elevation < -200 feet

⇒ -38 - 12x < 200

Which is the required inequality.

8 0
2 years ago
Read 2 more answers
Let f(t) give the number of liters of fuel oil burned in t days, and w(r) the liters burned in r weeks. Find a formula for w by
viktelen [127]

Answer:

7 f(t)

Step-by-step explanation:

So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.

w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.

As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:

w(r) = w[7f(t)]

So, we represented the liters in one week by it measure of days.

So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:

w (r) = w[7 f(t)] = 7 f(t)

Here we hace the w function represented in terms of t instead of r.

3 0
3 years ago
The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?
lana66690 [7]

Answer:

D) (x, y) → (1/3x , 1/3 y)

Step-by-step explanation:

A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged.  If the dilation factor is smaller than 1, the figure is shrinked.  In both cases, the coordinates are MULTIPLIED by the dilation factor.

Among the 4 choices, only 2 are dilations.  One is with a dilation factor of 3 (A), which means the shape was enlarged.  And the other is with  dilation factor of 1/3, meaning the shape was shrinked.

Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.

Answers B and  C show a translation/movement of the shape, not a dilation.

8 0
3 years ago
Find the x-intercept and y-intercept of the line.<br> 3x + y = 6
Dafna1 [17]

Answer:

x = (6 - y)÷ 3

Step-by-step explanation:

3x + y = 6

3x = 6 - y

x = 6 - y ÷ 3

6 0
2 years ago
A car can travel 393.3 miles on 28.1 gallons of gas. How far can it travel on 16.7 gallons?
grigory [225]
In the early months of some year one site added 0.4 million new accounts every day, At this rate , how many days would be needed to add 24 million new accounts?
8 0
2 years ago
Other questions:
  • Julio wants to calculate 200,000 × 300,000. When he used his calculator to multiply, it showed the result below: Write the numbe
    12·1 answer
  • What is the improper fraction of 7/7
    9·2 answers
  • A building has 4 stories that are each 15 feet high. A scale drawing has the height of the building at 5 inches.
    15·2 answers
  • Jennifer has 4/5 as many oictures on her camera as luisa does. Jennifer has 28 pictures on her camera. How many pictures do Jenn
    11·1 answer
  • Sara's savings account balance changed by -$34 one week and by -$67 the next week .Which amount represents the greater change?
    6·2 answers
  • For every 9 customers, the chef prepares 2 loaves of bread. How many loaves are needed for 63 customers?
    8·2 answers
  • Help with two step equations with fractions.........<br> 2/3x=6
    8·2 answers
  • Operaciones con numeros reales suma ejemplos
    10·2 answers
  • Please subscribe to my friend's channel, his name is Robertortil, it is in Spanish but subscribe and give many likes
    9·1 answer
  • Amelia played 8 games of cards with her grandpa. Her cousin played 4 times as many games as Amelia played. How many games did he
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!