Help!!!

Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet,
calculate the amount of floor left uncovered by the circular area rug in a rectangular
living room.

 Help!!!Given A Room Is 12 Feet By 10 Feet And We Have A Circular Rug With A Radius Of 3 Feet,calculate

Answers

Answer 1

Answer:

Step-by-step explanation:

floor = 12*10 = 120 sq ft

rug = π[tex]r^{2}[/tex] = 9π

120-9π = 91.74 sq ft

Answer 2

The amount of floor left uncovered by the circular area rug in a rectangular living room is 91.74 ft²

What is Area?

Area is the space occupied by a 2 dimensional figure.

The room is rectangular and its 12 ft by 10 ft. Therefore,

area of the room = lw

where

l = length

w = width

area of the room = 12 × 10 = 120 ft²

The rug is circular and its use to cover the room. Therefore,

area of rug = πr²

where

r = 3 ft

Therefore,

area of rug = 3.14 × 3² = 28.26 ft²

The amount of floor left uncovered by the circular area rug in a rectangular living room can be calculated as follows:

area uncovered = 120 - 28.6 = 91.74 ft²

learn more on area here; https://brainly.com/question/1389611


Related Questions

What is the domain of the relation given by the set of ordered pairs shown?

{ ( - 3, 2 ), ( - 1, 0 ), ( - 3, 5 ), ( 2, - 3 ) }

List the domain as a set, in increasing order.

Answers

Step-by-step explanation:

the domain = {-3, -1, 2}

_____

The domain, as a set in increasing order, will be {-3, -1, 2}.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The set of ordered pairs shown below.

{(-3, 2), (-1, 0), (-3, 5), (2, -3)}

Then the domain, as a set in increasing order, will be

⇒ {-3, -1, 2}

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

Please HELP!
Given this graph of function f(x), find f (-2)

Answers

Answer:

4

Step-by-step explanation:

f(x) is just the y value for a given value of x

When x = -2     y = 4

f(-2) = 4

X2-8x+15=(ax+b)(cx+d)

Answers

Answer:

(x-5) (x-3)

Step-by-step explanation:

x^2-8x+15

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

(x-5) (x-3)

Answer:

Step-by-step explanation:

-5

Which number is rational?

Answers

Answer:

D. Square root of 16

Step-by-step explanation:

Rational numbers are numbers that have simple answers. It is also considered as fractions, Integers, and possible square roots.

- If you chose the square root of 2 = 1.41

- Pi has a value of 3.14, It's not a fraction nor an integer so it's an Irrational number

- Square root of 10 is 3.16

- So Square root of 16 is 4 which is a regular number and a possible square root.

Thank you!

Answer:

last option- square root of 16 is a rational number

A.)55
B.)38
C.)70
D.)20

Answers

Answer:

D) 20

Step-by-step explanation:

4x - 10  and x together equal 90

Set your formula up as

90 = 4x - 10 + x

90 + 10 = 4x + x

100 = 5x

100 / 5 = x

20 = x

4. Type of data that is given as individual data points.
a grouped
c. research
b. questionnaire
d. un grouped​

Answers

Answer:

Ungrouped

Step-by-step explanation:

Data given as individual data points are usually called Ungrouped data, this is because the data given is raw and not arranged in intervals to form a group of data. This data are usually worked on without having to work with the class size or the midpoint of the intervals. Examples of Ungrouped data could be given as a list of values such as :

Ages of 10 randomly chosen children :

5, 4, 2, 2, 4, 5, 7, 6, 3, 4

which expression has a value of 15 when n=7?​

Answers

8+n is a possible answer to the question.

Answer:

19 - 28/n

n=7

19 - 28/7

19 - 4

=15

Simplify the radical completely.

Answers

Answer:

the answer would be A , I hope this helps

20 points

Evaluate the function graphically find f(-6)

Answers

Answer:

Five

Step-by-step explanation:

Just look at the point where x=-6

Which mathematical sentence most Accurately expresses the information in the problem below?

See Picture....

Answers

Answer:

Don't quote me on this but it's probably C. 12c ≥ 88

Step-by-step explanation:

This is because he packages 88 eggs into cartons of 12.

88/12 is 7.33333... so it makes sense to have a greater or equal amount of eggs. If you multiply 7.333333... by 12, each additional 3 gets you closer to 88 so again, makes sense to have more.

Which type of triangle is it possible for an obtuse triangle to be?
acute triangle
equilateral triangle
isosceles triangle
right triangle

Answers

isosceles triangle should be right because i has the exact same question

Use a double integral to find the area of the following regions. The region bounded by all leaves of the rose r=2cos3θ

Answers

Answer:

Hence the area of the region bounded by all leaves of the rose is [tex]\pi[/tex].

Step-by-step explanation:

Here,

[tex]2 cos (3\Theta )=0\\\Rightarrow cos(3\Theta)=0\\\Rightarrow cos(3\Theta )=cos\left (\frac{\pi }{2} \right )\\\Rightarrow \Theta =\left (\frac{\pi }{6},-\frac{\pi }{6} \right )[/tex]

Now consider for one leaf of rose:-

[tex]Area = 3\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\frac{r^{2}}{2}d\Theta \\\\ = \frac{3}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}}4 cos^{2}\left ( 3\Theta \right ) d\Theta \\\\ = \frac{12}{2}\int_{-\frac{\pi }{6}}^{\frac{\pi }{6}} \frac{cos(6\Theta +1)}{2}d\Theta\\\\ =\frac{6}{2}\left [ \frac{sin(6\Theta +\Theta )}{6} \right ]_{-\frac{\pi }{6}}^{\frac{\pi }{6}}\\\\ =3\times \left [ \frac{\pi }{6}+\frac{\pi }{6} \right ]\\\\ =3\times \frac{2\pi }{6}\\\\ = \pi[/tex]

To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.

Answers

Answer:

below

Step-by-step explanation:

cost of the machinery = $14,400

he paid a deposit of $1400

then later paid $576.18 for two years

two years = 24 months

= $576.18 *24

=$13,828.32

total amount paid

= initial deposit + amount paid in two years

= $1,400 + $13,828.32

=$15,228.32

so he finally paid $15,228.32

interest = selling price - original cost

= $15,228.32 - $14,400

=$828.32

therefore interest = $828.32

Does anyone know the answer to this?

Answers

If h = hourly rate and s = service fee
2h + s = 180
3h + s = 230
Subtracting equation 1 from equation 2 gives
h = 50
Substitute for h in equation 1
2 x 50 + s = 180
So s = 80

The cost formula is C(h) = 50h + 80

Find the distance between the pair of points: (6,−3) and (1,0

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\sqrt{34}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

Willl mark brainlest!
help pls​

Answers

Answer:

g(-1)=-1

Step-by-step explanation:

g(-1)=[tex](-1)^{3} + (-1)^{2} - (-1) -2[/tex]=- 1

g(2) = [tex]2^{3} + 2^{2} -2-2=8[/tex]

g(1) =[tex]1^{3} +1^{2} -1-2=-1[/tex]

⇒g(2)+g(1)=8+(-1)=7

Which expression represents "5 times the sum of 4 and y?"
A) 5•4 + y
B ) 5(4 + y)
C ) 4+5•y
D ) 4(5 + y)

Answers

I think the answer should be B

Because 5 times for both 4 and y

"the quotient of nine times a number and seven"

Answers

Answer:

[tex]9n \div 7[/tex]

Step-by-step explanation:

"the quotient of nine times a number and seven"

Hope it is helpful...

In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?​

Answers

Answer:

90.5 hours or 90 hours and 30 minutes

Step-by-step explanation:

100-9.5=90.5

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$


How much total interest is paid? (Round your answer to the nearest cent.)
$

Answers

9514 1404 393

Answer:

monthly payment: $528.39interest paid: $3,703.40

Step-by-step explanation:

The monthly payment is given by the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where the annual interest rate is r for t years on loan value P.

Filling in the given information, we find the monthly payment to be ...

  A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39

The monthly payment is $528.39.

__

The total amount repaid is ...

  ($528.39/mo)(60 mo) = $31,703.40

The interest paid is the difference between this and the loan amount:

  interest paid = $31,703.40 -28,000 = $3,703.40

The total interest paid is $3,703.40.

Dave and Busters charges 2.50 per game in the arcade plus a one-time entrance fee of $10.


Which equation could be used to find the total.


A) y=2.50x

B) y=12.50x

C) y=2.50x + 10

D) y=2x-10

Answers

Answer:

C) y = 2.50x + 10

Step-by-step explanation:

Equation C is saying:

total cost = 2.50(number of games) + $10 entery fee

Hope this helps :)

Mark brainliest please

Answer is C

As it say to find total cost and y is given as total cost

As x is number of games and charge per game is 2.50 so it’s becomes 2,50x

Plus you have to add one time entrance fee which is $10.

So the equation becomes

y= 2.50x + 10

what additional piece of information do we need to prove that MLN ≅ OPN

Answers

Answer:

N is the midpoint of MO

Step-by-step explanation:

Given

See attachment for triangles

Required

Additional information to prove [tex]MLN \cong OPN[/tex]

From the attachment, we already have:

[tex]LM \simeq OP[/tex] and [tex]LN \simeq ON[/tex]

The additional information that must be true for [tex]MLN \cong OPN[/tex]  to be true is: N is the midpoint of MO

Because this piece of information proves that:

[tex]MN \simeq ON[/tex]

Which in other words makes [tex]MLN \cong OPN[/tex]

A community shares a vegetable garden in a park each summer. Last year, it took Sapphire 88 hours to plant the garden by herself. The year before, it took Varsha 66 hours to plant the same garden by herself.

This year, if Sapphire and Varsha work together to plant the same vegetable garden, it would take ??? hours.

What is ???

Answers

Answer:

37.71 hours

Step-by-step explanation:

Saphire

1garden/88hours

Varsha

1garden/ 66 hours

Together

1/88 + 1/66 = x

use 264 as common denominator

3/264 + 4/264 = 7/264

Together they can do 7 gardens in 264 hours

264/7 = 37.71 hours for 1 garden

-----------------------------------

Sometimes Brainly double types numbers

If you meant 6 hours and 8 hours

1/6 + 1/8 = x

4/24 + 3/24 = 7/24

24/7 = 3.43 hours

Sketch a graph that has the following characteristics. (8 points: 2 points for each characteristic)
a. Crosses the y-axis at (0, 4)
b. Increases in the interval –12 ≤ x ≤ –2
c. Constant in the interval –2 ≤ x ≤ 2
d. Decreases in the interval 2 ≤ x ≤ 12

Answers

87 Step-by-step explanation:

Ill answer when i get the result

If a card is randomly selected, what is the probability that the card is any one suit, e.g., a diamond, heart, spade, or club?

Answers

Answer:

the probablity of anything is

(Number of desired outcomes) / (Number of total outcomes)

Step-by-step explanation:

Answer:

I'd assume 1/4

Step-by-step explanation:

there are only 4 different suits to pick from

Solve for x in the equation x squared + 14 x + 17 = negative 96.

Answers

this is the best i can come up with! i believe the answer is “no real solutions” but it could possibly be the answer on the paper!

what is 2.5 = 75 please help

Answers

Answer: 3.333333333333% as a percent 3.25 as a decimal

Hi, I need help creating a graph for this math question. Here goes -
It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with and has increased its balance by an average of per week. The Math Club has saved per week after starting out with at the beginning of the semester.

Answer: Science Club y = 10x + 20 and Math Club y = 5x + 50.

Question: Graph both lines on one set of axes. When do the clubs have the same balance?

Answers

Answer:

(6,80)

Step-by-step explanation:

To check

Substitute (6,80) for x & y value

Y = 10x + 20

80 = 10(6) + 20

80 = 60 + 20

80 = 80

Y = 5x + 50

80 = 5(6) + 50

80 = 30 + 50

80 = 80

Answer:

(6.80) is the correct answer

Show Intro/Instructions
A wire 15 centimeters long is cut into two pieces. The longer piece is 3 centimeters longer than
the shorter piece. Find the length of the shorter piece of wire.

Answers

Answer:

Let the length of the 2 pieces = L and S

Let L = the longer piece and S = the shorter piece

A wire 26 cm is cut into 2 pieces.  This equates to......L + S = 26

The longer piece is 6 cm longer than the shorter piece.  This equates to.....L = 6 + S.  Substitute this equation into the first one, you get

L + S = 26

6 + S + S = 26

2S = 20

S = 20/2 = 10 cm

L = 6 + S = 6 + 10 = 16 cm

To confirm, L + S = 26

16 + 10 = 26!

Hope the above was helpful.

Step-by-step explanation:

FACTOR b2 – 18b + 81

Answers

Answer:

(b-9)^2

Step-by-step explanation:

b^2-18b+81

=b^2-(9+9)b+81

=b^2-9b-9b+81

=b(b-9)-9(b-9)

=(b-9)(b-9)

=(b-9)^2

Hope this helps u!!

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