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Viktor [21]
3 years ago
11

If a large sized pizza of diameter 35 cm is kept on a rectangular base of dimensions 50 cm x 60 cm. Find the area of the base ex

cluding the pizza.​
Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0

Answer:

2037.89

Step-by-step explanation:

The area of a circle is πr²

This means that the area of the pizza is π*17.5^2

This means that the area =962.11275016187

We then need to find the area of a rectangle which is shown throuhg lenght*width

50*60=3000

We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza

so we have

3000-962.11275016187=2,037.88724983813

Round and get 2037.89

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If the area of Bianca’s rectangular backyard patio is represented by the expression x2−18x + 81, and the length of the patio is
frosja888 [35]

Answer:

a square backyard with width (x - 9)

Step-by-step explanation:

x²−18x + 81 = x² - (2 x 9) x + 9² = (x - 9)²

width = area / length = (x - 9)² / (x - 9) = x - 9

Length = width

This is a square backyard

4 0
3 years ago
Simplify:9-1÷2÷27^2÷3​
sammy [17]

<u>First let's calculate the exponents.</u>

27^2 : 729 = 9-1\div \:2\div \:729\div \:3

<u>Now we should multiply and divide.</u>

<u />1\div2\div729\div3:\frac{1}{4374} = 9-\frac{1}{4374}<u />

<u>Now we should add and subtract.</u>

<u />9-\frac{1}{4374} :\frac{39365}{4374} =  \frac{39365}{4374}<u />

<u>Convert the improper fractions into mixed numbers.</u>

<u />8\frac{4373}{4374}<u />

<u />

<u>Answer : </u>

<u />8\frac{4373}{4374}<u />

<u />

5 0
3 years ago
The length of a rectangle board is 10 centimeters longer than its width. The width of the board is 26 centimeters. The board is
Troyanec [42]

Answer:

Area of each piece = 104 cm^{2}

Possible dimensions are 26 cm by 4 cm, 13 cm by 8 cm.

Step-by-step explanation:

Given that:

Dimensions of the rectangular board as:

Length of the board is 10 cm longer than its width.

Width of the board = 26 cm

Length of the board = 26 + 10 = 36 cm

The rectangular board is divided into 9 equal pieces.

To find:

Area of each piece and

the possible dimensions of each piece = ?

Solution:

First of all, let us calculate the area of bigger rectangular board.

Area of a rectangle is given by the following formula:

Area = Length \times Width

Area = 26 \times 36 cm^2

Area of each smaller rectangle = \frac{26\times 36}{9} = 104\ cm^2

To find the possible dimensions, we need to find the factors of 104.

104 = 26 \times 4

104 = 13 \times  8

Therefore, the Possible dimensions are 26 cm by 4 cm

and

13 cm by 8 cm.

5 0
3 years ago
Nick has fraction 1 over 2 cup of syrup. He uses fraction 1 over 6 cup of syrup to make a bowl of granola.
SCORPION-xisa [38]

<u>Part A)</u> <em>How many bowls of granola can Nick make with fraction 1 over 2 cup of syrup?</em>

So if we have 1/2 cup of syrup and 1/6 is needed we can divide 1/2 by 1/6 to find our answer for part a.

1/2 / 1/6

"keep change flip" -> 1/2 x 6

answer -> 3

He can make 3 bowls of granola

<u>Part B)</u> <em>On your own paper, draw a fraction model that shows the total number of bowls of granola that Nick can make with fraction 1 over 2 cup of syrup. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. </em>

(visual attatched)

You could say "This model visually shows the solution for Part A because each bowl of granola has 1/6 cup of syrup in it. The 1/2 cup is split into 3 different parts, as you can see"

(draw it neater though, it's hard on a computer with a mouse haha)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

(second problem you commented)

Part A: <em>How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)</em>

First let us change 7 1/2 into an improper fractoin,

7 x 2 = 14 + 1 = 15/2

So then we can, as we did above, divide 15/2 by 3/4 which looks like:

15/2 / 3/4

keep, change, flip -> 15/2 x 4/3

60 / 6

answer -> 10

Clarck can cut <u>10</u> 3/4 foot pieces.

Part B: <em>Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.</em>

*I am honestly kind of confused by this question, so here is some words that are hopefully somewhat correct*

You could say here that "Calrck had 7 1/2 feet of wire. He needed 3/4 pieces, so when he cut it up he got 10 pieces. This is because 3/4 times 10 is 7 1/2 so this quotient makes sense with the two fractions given."

~~~~~~~~~~~~~`

Hopefully these are correct and help, have a nice day! :D

6 0
3 years ago
Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1680
vladimir1956 [14]

Answer:Wind speed = 30 miles/hour

Plane speed = 450 miles/hour

Step-by-step explanation:

First we have to know the formula for finding speed, which is distance divided by time

Speed = distance/time

Then we label the speed of the plane to be x

And the spend of the wind to be y

From the question, we are told that when the plane flies into the wind, it takes 4 hours to travel a distance of 1680 so we have the time and distance

And since the plane is flying against the wind speed

We can form an equation

x - y = 1680/4

x - y = 420 (1)

Then when the plane is coming back, the wind is going in the same direction with the plane and it take 3.5 hours to cover the same 1680 miles distance, so we form another equation

x + y = 1680/3.5

x + y = 480 (2)

So we solve (1) and (2) simultaneously

x - y = 420 (1)

x + y = 480 (2)

Using elimination method, we eliminate y by adding both equations

2x = 900

x = 450 miles/hour

So therefore, plane speed is 450 miles/hour

Putting the answer in either (1) or (2) to get y

I choose to put it in (2)

x + y = 480

450 + y = 480

y = 480 - 450

y = 30 miles/hour

So therefore, wind speed = 30miles/hour

4 0
3 years ago
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