A dining hall measuring 10m long and 8m wide overlaid with nine circular carpets.The diameter of one carpet is 200cm.Calculate the area in square meters, floor area of the board that is not covered by the carpet.

Answers

Answer 1

we know that
area of dining hall=10*8----> 80 m²

area of one circular carpet=pi*r²
diameter=200 cm----> 2 m
r=2/2----> 1 m
area of one circular carpet=pi*1²----> 3.14 m²
area of nine circular carpet=9*3.14----> 28.26 m²

the floor area of the board that is not covered by the carpet=80-28.26
the floor area of the board that is not covered by the carpet=51.74 m²

the answer is
51.74 m²

Related Questions

The city of Chula Vista has a population of 173,556. National City has a population of 61,115. What is the total population of the two cities? A. 234,671 B. 234,661 C. 232,671 D. 112,441

Answers

The total population will be given by:
(Population of Chula)+(Population of National)
Population of Chula Vista=173556
Population of National=61115
thus
Total population=(173556+61115)=243,671
Answer: A. 234,671

Draw three rectangles.Then draw to show halves,thirds,and fourths. Write about each whole that you have drawn

Answers

So here's the pictures. Sorry they're not great, but that's how they should look, about that.
I'm not exactly sure what you are supposed to write about them, if you could explain a little more on that I can help.

Hey guys I need help with this THANKS!

Answers

The first digit can be one of 4.
The second digit can be one of 4
The third digit can be one of 4

For example, all of these would work
111
221
144
331
123
124

And many more.

The total number of ways is 4*4*4 = 64 <<<<<Answer
C <<<<< Answer.

Answer: c

Step-by-step explanation: hope this helps

180 miles in 3 hours in fraction form and in word form

Answers

The answer is 180/3 which simplifies down to 60 miles per hour or 60/1

60 miles per hour
Or
60/1

can you discuss the differences between circumference and area of a circle ?

Answers

The circumference of a circle is the length around the circle which is equal to 360°. Pi is the number needed to find the circumference of the circle. In circles the AREA is equal to 3.14xRadias^2

The circumference (C) of any circle is the perimeter around it; it is circles' one dimensional measurement (i.e. in, ft, cm, mi, etc.). As a circle grows, increasing the
circle's size, the distance around it (circumference) increases proportionately with
the radius. Thus this length can be found by multiplying the radius × 2 (or diameter × 1) × a constant known as pi. Pi, an infinitely long decimal that begins 3.1416, was calculated by working backwards from the length of a circle, divided by 2×radius. No matter the size of any circle, they discovered that the distance will always vary 3.1416... × twice the radius (or diameter). An example is a circle of radius 40 cm: C = 2pi×r = 80pi cm, or 251.33 cm.

The area (A) of a circle, however, covers much more matter; it is the two dimensional measure of any circle (i.e. sq.in., sq.ft, sq.cm, etc.). Area also varies according the constant pi × the radius, BUT it increases much more than the radius once; it varies by the radius × radius (radius squared) × the value pi. Using the same circle example of radius 40cm: A = pi×r^2,
A = (40×40)pi = 1600pi = 5,026.55 cm^2.

So you can see that the [2-dimensional] area of this circle is 20 times the [1-dimensional] circumference

the temperature last night was 10 degrees below 0. The next morning by 9 a.m. the temperature had risen 12 degrees. what was the temperature at 9 a.m.?

Answers

it was two degrees at 9am

Latitude measures the distance ( in degrees-north or south ) above the equator. The equator has a latitude of 0° . Your friend lives in a town 10 degrees north of Cleveland. Cleveland has a latitude of 40° N. If you reflect the town's location over the equator, what would be its new latitude?

a. 30° S
b. 40° N
c. 50° S
d. 50° N

Answers

The friend lives in a town that is 10° farther north than 40° N. The latitude of that town is 40° +10° = 50° N. When that latitude is reflected across the equator, N changes to S. The new latitude would be c. 50° S.

What is the simplified answer of “One less than X is less than -1 OR 3 more than X is greater than or equal to 7.” This is solving inequalities, thanks!

Answers

[tex]x - 1 \ \textless \ -1[/tex] OR [tex]x + 3 \geq 7[/tex]

What is the overlap of Data Set 1 and Data Set 2?
A. High
B. Moderate
C. Low
D. None

Answers

The over lap of data set 1 and data set to was A”high”

C. if i calculated right

The product of two consecutive odd integers is fifteen. Find all such integers.

Answers

-15 And +16 hope that helps

the two consecutive odd integers that have a product of fifteen are 3 and 5.

The question asks for the two consecutive odd integers whose product is fifteen. To solve this, we can use algebraic methods or observe that the square root of 15 is less than 4, and since 15 is an odd number, we look for odd numbers around 4 that multiply to 15.

Let's define the smaller integer as n. Since the integers are consecutive and odd, the next odd integer after n is n+2. The equation to represent their product is n*(n+2) = 15. Solving for n gives us the integers 3 and 5, since 3*5 = 15.

Therefore, the two consecutive odd integers that have a product of fifteen are 3 and 5.

1. d^2 + 12d + 32
(d + 8)(d + 4)
(d - 8)(d - 4)
(d - 8)(d + 4)
(d + 8)(d - 4)
2.d^2 - 12d + 32
(d - 4)(d - 8)
(d - 4)(d + 8)
(d + 4)(d - 8)
(d + 4)(d + 8)
5.x^2 + 3xy - 4y^2
(x + 4y)(x + y)
(x - 4y)(x - y)
(x - 4y)(x + y)
(x + 4y)(x -y)

Answers

1.) Factor [tex]d^2 +12d+32[/tex] Using the AC method
     [tex](d+4) (d+8)[/tex]
2.) Factor [tex]d^2-12d+32[/tex] Also using the AC method
     [tex](d-8) (d-4)[/tex]
5.) Factor the Polynomial
     [tex](x-y) (x+4y)[/tex]

Which data set is represented by the modified box plot?

•85, 70, 80, 108, 46, 66, 68, 82, 70, 68

•85, 78, 80, 108, 46, 66, 68, 80, 72, 68

•85, 78, 80, 108, 46, 66, 68, 82, 72, 80

•85, 78, 80, 108, 46, 66, 68, 82, 72, 68

Answers

I would look at the minimum and maximum and see if any other the sets don't abide to it. Let's call the first set 1, second set 2, third set 3, fourth set 4.
They all have a minimum of 46 and maximum of 108. The median is 75 and since there's 10 numbers in each set, you would have to find the middle of two numbers.
First set:
Let's put them in order.
46, 66, 68, 68, 70, 70, 80, 82, 85, 108
The median of that set is 70, not 75.
Second Set:
Let's put them in order.
46, 66, 68, 68, 72, 78, 80, 80, 85, 108
Right away, I can tell the median of the set is 75. We should still check the other sets.
Third set:
Let's put them in order.
46, 66, 68, 72, 78, 80, 80, 82, 85, 108
Fourth set:
Let's put them in order.
46, 66, 68, 68, 72, 78, 80, 82, 85, 108
So, the fourth and second set both have a median of 75. We need to find their third quartile. On the graph, it is about 82 or 83.
Second Set's third quartile: 80
Fourth Set's third quartile: 82
So the box plot represents the last set of numbers.

Polygon ABCD is the result of a translation of polygon EFGH . AB¯¯¯¯¯ is parallel to DC¯¯¯¯¯ in the pre-image. Drag the answers to the boxes to correctly complete the statement about this image. The corresponding segments and in the image are

Answers

ABCD has been translated down 4 units, and to the right 5 units in order to become EFGH.

Answer: The corresponding segments in the in the figure and the image are :

AB and EF,

AD and EH,

CD and HG,

BC and FG,

Step-by-step explanation:

Given: Polygon ABCD is the result of a translation of polygon EFGH .

AB is parallel to DC in the pre-image.

We know that a translation is a rigid transformation which produces congruent images such that the corresponding segments have equal lengths.

So from the given statements the corresponding segments in the figure and the image are :

AB and EF,

AD and EH,

CD and HG,

BC and FG,

Maria’s math test had 25 questions. She got 84% correct. How many problems did she get wrong

Answers

x divided by 25 is 84
Therefore, Maria got 21 correct out of the 25.

Do 25 - 21 (25 for the 25 questions and 21 for the ones she got correct)
25 - 21
=4

So, Maria got 4 problems wrong.

Maria got 84% correct, so she got 16% of the questions wrong. If you understand percentages, you'll know that you can multiply 0.16 and 25 to get 16% of 25, which is 4. So she got 4 problems wrong. If you don't understand this, you can use ratios. Set up a proportion to solve instead:

[tex] \frac{Number Wrong}{Total Problems} = \frac{Percentage of Questions Wrong}{Total Percentage of Questions} \\ \frac{x}{25} = \frac{16}{100} \\ x= \frac{16}{4} \\ x=4 [/tex]

So Maria got 4 questions wrong.

What is the distance between the sandbox and garden

Answers

For this case, the first thing we must do is apply the law of the sine.
We then have the following expression:
sine (65) / x = sine (104) / 36
Clearing the value of x we have:
x = (sine (65) / sine (104)) * (36)
x = 33.6 feet
Answer:
The distance between the sandbox and garden is:
x = 33.6 feet

There are 453.592 grams in one pound . A semi - slick , Kevlar tire weighs about 520 grams . What is the tires weighs in pounds ?

Answers

1.146 pounds is the answer rounded to the thousandths place

A roof rises 9 feet for every 12 feet of run. What is the slope of the roof?

A.) -3
B.) 3
C.) 3/4
D.) 4/3

Answers

Answer:

[tex]m = \frac{9}{12} = \frac{3}{4} [/tex]

The correct answer is C.

Simplify the expression

(5jk)^4

Answers

the answer will be 625j^4 k^4

First, you distribute for each number and variable. So, 5^4=5*5*5*5 which gets you 625. The rest is j^4 and k^4
625j^4k^4

Help please!
6x^2+2x-9=0
A 6.4, -8.4
B 1.1, -1.4
C -2.2, 2.8
D -1.1, -1.4

Answers

[tex]6x^2+2x-9=0\\\\a=6;\ b=2;\ c=-9\\\\\Delta=b^2-4ac\to\Delta=2^2-4\cdot6\cdot(-9)=220\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-2-\sqrt{220}}{2\cdot6}=\dfrac{-2-\sqrt{220}}{12}\approx-1.4\\\\x_2=\dfrac{-2+\sqrt{220}}{2\cdot6}=\dfrac{-2+\sqrt{220}}{12}\approx1.1[/tex]

Answer: B. 1.1; -1.4.

In the diagram ∠BAD ≅ ∠CAD. If m∠BAD = 12x + 8 and m∠CAD = 16x, find m∠BAC. A) 22 degrees
B) 32 degrees
C) 48 degrees
D) 64 degrees

Answers

I think your answer is D.

the correct answer is D

Is the equation A = 21000 ( 1 − .12 )^t a model of exponential growth or exponential decay, and what is the rate (percent) of change per time period?

Answers

It is an exponential decay because it is going to be a fraction and the rate% is 12% per time period.

Answer is Exponential Decay.

Exponential Growth and Decay:

Exponential decay is a process that decreases quantity over time.

Exponential growth is a process that increases quantity over time.

(Given),

[tex]A = 21000(1-0.12)^{t}[/tex]

Let's take,

[tex]B = (1 - 0.12)^{t}[/tex]

As the t increases the B value decreases exponentially. So, the A = 21000*B also decreases exponentially as t increases.

And the rate of change per time period is (0.12 x 100)% = 12%.

So, It is exponential decay.

Learn more about Exponential Growth and Delay here: https://brainly.com/question/13674608?referrer=searchResults

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Which of the following is not equivalent to the other

Answers

10/80 because it’s equal to 12.5%
It would make sense if it was 8/10 but it’s not

The answer is the third one

The third fraction [tex]\frac{10}{80}[/tex] is not equivalent to the other options. The other options, 0.8, 80% and [tex]\frac{24}{30}[/tex] are all equivalent.

In mathematics, a fraction is a composition that represents a part of a whole. Fractions can be written in a few different ways, but the most frequent way is to utilize a numerator and a denominator. The numerator is the number of parts we have, and the denominator is the total number of parts. For illustration, the fraction 1/2 represents one part out of two.

Option 1 is 0.8.

Option 2 is 80% which is in fact equal to [tex]\frac{80}{100}[/tex] .

[tex]\frac{80}{100}[/tex] = [tex]\frac{8}{10}[/tex] = 0.8.

Option 3 is [tex]\frac{24}{30}[/tex] .

[tex]\frac{24}{30}[/tex] = [tex]\frac{8}{10}[/tex] = 0.8.

So, only the third option is not equivalent to the others.

Learn more about fractions here:

https://brainly.com/question/10354322

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Can someone explain/show me how to do this?

Answers

v = (-7,-4)

8v would be 8 times both numbers

8v = (8*-7, 8*-4)

8v = (-56, -36)

magnitude = square root( -56^2 + -36^2)
= sqrt(3136 + 1296)
= sqrt(4432 )
= 4 sqrt(277)

Please help as so as possible

Answers

An attribute in math is a feature or characteristic of an object such as the height, color, shape, size, or the similar.

In this question, the attribute is the height of the plant.

ANSWER: Height of the plant is the attribute.

Hope this helps! :)

A cube has a volume of 216 cubic inches. What is the length of each edge of the cube?

Please show work, thank you!

Answers

To find the edge of a cube with 216 volume, you would have to use the following expression: side cubed. To do this, subsitute the values in. Does 1 work? No. Does 2 work? No. Repeat these steps until you get to 6. 6 cubed is 216.

What is the following quotient? 5/√11-√3

Answers

ANSWER

[tex]\frac{5( \sqrt{11} + \sqrt{3} )} {8} [/tex]

EXPLANATION

The given rational function is

[tex] \frac{5}{ \sqrt{11} - \sqrt{3}} [/tex]

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

[tex] \sqrt{11} - \sqrt{3} [/tex]

which is

[tex]\sqrt{11} + \sqrt{3} [/tex]

When we rationalize we obtain:

[tex] \frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )} [/tex]

The denominator is now a difference of two squares:

[tex](a - b)(a + b) = {a}^{2} - {b}^{2} [/tex]

We apply this property to get

[tex]\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )} [/tex]

[tex]\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3} [/tex]

This simplifies to

[tex]\frac{5( \sqrt{11} + \sqrt{3} )} {8} [/tex]

[tex]\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3} [/tex]

Answer:

Step-by-step explanation:

A new website was reviewed by 91 people. The creator of the website surveyed 8 of the reviewers at random. He asked them to rate the website on a scale from 1 to 10. Their ratings are below.

3, 7, 10, 6, 3, 10, 10, 6

Assuming that the sample was representative of all reviewers, what was the mean rating of the website for all reviewers?
A.
4.5
B.
6.5
C.
7.125
D.
6.875

Answers

The mean of the number set is the average of the numbers

To find the average of the number set the numbers are to be added together and divided by the total amount of numbers in the set

[tex] \frac{3 + 7 + 10 + 6 + 3 + 10 + 10 + 6}{8} = 6.875[/tex]

Sara got 88, 90, 75, 78, 100, 54, 90, 100, 45, and 60 on her English tests. Lee got 77, 67, 99, 79, 100, 65, 79, 89, 58, and 67 on his English tests. What is the mean of Sara's English tests? What is the mean of Lee's English tests? please answer both questions

Answers

The mean is the average, so I added up all the numbers and divided that by the number of tests:
Sara's mean: 78
Lee's mean: 78

Sara:
88, 90, 75, 78, 100, 54, 90, 100, 45 and 60
add them all up which is 780
then divide by the number of test results you have which is 10
780/10
Sara's mean is 78 on her test scores.

Lee:
77, 67, 99, 79, 100, 65, 79, 89, 58, 67
add them all up which is 780
divide by the number of test results 10
780/10
Lee's mean is 78 on her test scores.

Cassie bakes cookies and brownies for the school bake sale. Each cookie will sell for $0.50 and each brownie will sell for $0.75. Write an expression for the amount of money Cassie will raise for the school with the cookies and brownies she baked.

Answers

T= total money raised
c= # cookies sold
b= # brownies sold

Total money earned equals the price per cookie times number of cookies sold plus the price per brownie times the number of brownies sold.

T= ($0.50 * # c) + ($0.75 * # b)

T= $0.50c + $0.75b

ANSWER: The expression showing money earned is T= $0.50c + $0.75b

Hope this helps! :)

The surface area of a triangular prism is 60 square centimeters. What is the surface area of a similar prism that is smaller by a scale factor of 1 5th

Answers

If the scale factor for linear dimensions is 1/5, the scale factor for area dimensions is (1/5)² = 1/25.

The surface area of the smaller prism is
(60 cm²)*(1/25) = 2.4 cm²

The smaller triangular prism's surface area is calculated by squaring the scale factor of 1/5 (which is 1/25) and then multiplying it by the surface area of the larger prism. The result is 2.4 square centimeters.

The question asks about the surface area of a similar but smaller triangular prism given that the larger prism has a surface area of 60 square centimeters and the scale factor of the smaller prism is 1/5. When the size of an object changes by a scale factor, the surface area changes by the square of that scale factor. For the smaller triangular prism, the surface area will be the square of 1/5, which is 1/25, times the surface area of the larger prism.

To calculate it:

Take the surface area of the larger prism, which is 60 square centimeters.Multiply this area by the square of the scale factor, (1/5)², which is 1/25.The result will give us the surface area of the smaller prism: 60 cm2 * 1/25 = 2.4 cm².

Therefore, the surface area of the similar smaller triangular prism by the given scale factor is 2.4 square centimeters.

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