Chef Willie can make 54 pies in 2 hours. At this rate, how many pies can he make in 1 hour?

The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?

barxatty [35]

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

3 0

2 years ago

Please help worth 20 points

almond37 [142]

Answer:

Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this

Step-by-step explanation:

GURL POWER

7 0

2 years ago

3. In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second

Katen [24]

12

<h3>Further explanation</h3>

<u>Given:</u>

In an auditorium,

$\frac{1}{6}$ of the students are fifth graders,
$\frac{1}{3}$ are fourth graders, and
$\frac{1}{4}$ of the remaining students are second graders.

There are 96 students in the auditorium.

<u>Question:</u>

How many second graders are there?

<u>The Process:</u>

The least common multiple (LCM) of 3 and 6 is 6.

Let us draw the diagram of all students.

$96 \div 6 \ units = 16 \rightarrow \boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16} = 96 \ students$

$\frac{1}{6}$ of the students are fifth graders, or 1 of 6 units above, that is $\boxed{16} = 16 \ students$
$\frac{1}{3} = \frac{2}{6}$ are fourth graders, or 2 of 6 units above, that is $\boxed{16}\boxed{16} = 32 \ students$

The remainder is 6 units - (1 unit + 2 units) = 3 units, that is $\boxed{16}\boxed{16}\boxed{16} = 48 \ students$ . Or, 96 - 16 - 32 = 48 students.

$\frac{1}{4}$ of the remaining students are second graders.

Let us count how many second graders are there.

$\boxed{ \ \frac{1}{4} \times 48 \ students = ? \ }$

Thus, there are 12 second-graders in the auditorium.

- - - - - - - - - -

Quick Steps

$\boxed{ \ \frac{1}{4} \times \bigg(1 - \frac{1}{6} - \frac{1}{3} \bigg) \times 96 = ? \ }$

$\boxed{ \ = \frac{1}{4} \times \bigg(\frac{6}{6} - \frac{1}{6} - \frac{2}{6} \bigg) \times 96 \ }$

$\boxed{ \ = \frac{1}{4} \times \frac{3}{6} \times 96 \ }$

$\boxed{ \ = \frac{3}{24} \times 96 \ }$

We crossed out 24 and 96.

$\boxed{ \ = 3 \times 4 \ }$

$\boxed{\boxed{ \ = 12 \ students \ }}$

<h3>Learn more</h3>

How long did it take Charlotte to finish the word search brainly.com/question/8561495
What fraction of all Sarah's photos is of her friends brainly.com/question/1020296
Create and solve a story problem about two friends and their weekly allowance brainly.com/question/2968321

Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders

3 0

3 years ago

Read 2 more answers

Try to answer all 4 its probably easy

Ulleksa [173]

Answer:

1. 5/100

2. .05

3. 16/100

4. .16

Step-by-step explanation:

1. For this one all you do is multiply your numerator (1) by 5 from 100/20

2. For the decimal all you do is take your whole number and move the decimal 2 spaces to the left

3. This one you have to multiply your numerator (4) by 4 from 100/25

4. You repeat what you did on number two.

3 0

2 years ago

Pie plates can be measured by the length of their radius. what size pie plate is needed for a pie with a circumference of about

vampirchik [111]

Answer:

24 cm

Step-by-step explanation:

Substitute into the formula for the circumference of a circle:

$C =2 \pi r$

$150.72 = 2\pi r$

Divide by 2 on both sides:

$150.72 = 2\pi r$

/2 /2

$75.36=\pi r$

Divide by pi on both sides:

$75.36=\pi r$

/pi /pi

24 = r

Therefore, the radius is 24 cm.

3 0

2 years ago