A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.

Answers

Answer 1

Complete Question

A countertop for a kitchen is modeled with the dimensions shown below. An

18-inch by 21-inch rectangle will be removed for the installation of the sink.

8 ft

2 ft

Sink

18 in

21 in

5 ft

2 ft

What is the area of the top of the installed countertop, to the nearest square foot?

Answer:

19 square foot

Step-by-step explanation:

A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.

Convert from inches to feet

18 inches

1 inch = 0.0833 feet

18 inch = x

Cross Mulitiply

x = 18 × 0.0833 feet

x = 1.5 feet

21 inches

1 inch = 0.0833 feet

21 inch = x

Cross Mulitiply

x = 21 × 0.0833 feet

x = 1.75 feet

Area 1 = 2 ft × 8 ft = 16 ft²

Area 2 = 2 ft × 3 ft = 6 ft²

Area of a sink = Length × Width

= 1.5 ft × 1.75 ft

= 2.625 square feet

Area 1 - Area of sink

= 16 ft² - 2.625 ft²

= 13.375 ft²

Area of the top installed part =

Area 2 + 13.375 ft²

= 6 ft² + 13.375 ft²

= 19.375 ft²

Approximately ≈ 19 ft²


Related Questions

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Answers

The correct expressions are A and D.

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

[tex]\sqrt{34} x \sqrt{y} :34\\\sqrt{34y}:34\\34y:1156\\[/tex]

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

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Answers

Answer:

b = 1 - a

Step-by-step explanation:

Given

7 + 7a = 7(2 - b) ← divide both sides by 7

1 + a = 2 - b ( subtract 2 from both sides )

- 1 + a = - b ( multiply through by - 1 )

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Answer:

[tex]b = (a - 1)[/tex]

Step-by-step explanation:

Question

[tex]7 + 7a = 7(2 - b)[/tex]

First Solve the brackets

[tex]7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b[/tex]

Then Make the b as the Subject

[tex]7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b[/tex]

hope this helps you.

Have a nice day!

list the set of ordered pairs that had a domain that consists of multiples of 3 from -3 to 15

Answers

Answer:

Multiple of 3 from -3 to 15 are:-

3, 6, 9, 12 , 15

hope it is helpful to you ☺️

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[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]

[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]

Someone pls help me :p

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Answers

Answer:

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Step-by-step explanation:

An irrational number is a number that goes on forever without repeating. The square root of 2 does exactly this.

Which points are solutions to the system of inequalities shown below?
Check all that apply.
ys X+4
y>x
Xs6
D A. (7,9)
OB. (3,8)
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OD. (5,9)
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Answers

Answer

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Step-by-step explanation:

PLEASE HELP ME!!! WHOEVER HELPS ME AND GETS IT RIGHT WILL GET BRAINIEST!!!

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Answer: it would be D

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what is the answer for x⁵÷x⁸

Answers

answer:

the answer is 40 because any expression divides itself is equals to 1

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{1}{x^3}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

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


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Give your answer rounded to 2 DP

Answers

Answer:

£13,268.35 (sorry if this is incorrect :P)

Step-by-step explanation:

16.5% = 0.165

15890.23 x 0.165 ≈ 2621.88

15890.23 - 2621.88 = 13,268.35

Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)

b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.

c. Find the value of c.

Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)

Answers

Answer:

I'm not sure what to do not doing this in skl

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the nearest tenth.

Answers

Answer:

25√3mm

Step-by-step explanation:

this might be the answer..

Answer:

[tex]25\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{10^2*\sqrt{3} }{4}[/tex]

Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?

Answers

Answer:

25+40x=195

Step-by-step explanation:

If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

the answer would be -11/7

Someone please help me

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Mark Brainliest Please

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Which polynomial correctly combines the like term and express the given polynomial in standard form

Answers

Answer:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Step-by-step explanation:

Given

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Required

Correctly combine the like terms

We have:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]

Collect like terms (in decreasing degrees of m)

[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]

[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

So:

[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]

Mustafa is flying his kite, and Ana is watching from 20 m away, as shown. From Ana's perspective there is an
angle of 109 between Mustafa and his kite. The length of the string between Mustafa and the kite is 46 m.
Kite
46 m
109
?
Mustafa
Ana
20 m
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Do not round during your calculations. Round your final answer to the nearest degree.

Answers

7.80 because it’s is a number everyone know

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Step-by-step explanation: Khan Academy

Given:
WXYZ is a rhombus.



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20
40
70

Answers

Answer:

20

Step-by-step explanation:

alternate angles of two parallel lines WX and ZY

Answer:

20!

Step-by-step explanation:

I need help with this asap!!!! ​

Answers

Answer:

26.6 but that is not one of yor answers...

I think you have a typo in "A"

I think that your have a typo in the answers

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x = 26.6

Step-by-step explanation:

Yep the answer is x= 26.6 but you don’t have that answer

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Answers

Answer:

[tex]5x^{2}(x+7)(x-3)[/tex]

Step-by-step explanation:

5x4+20x3-105x2

5x2( x^2 +4x -21)

[tex]5x^{2}(x+7)(x-3)[/tex]

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Answers

Answer:

C i think

Step-by-step explanation:

because c has y=x-2.

Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)

Answers

Answer:

Perimeter

Step-by-step explanation:

Required

What does 36m represent?

From the question, we understand that the 36m is the measurement of the wall.

This, in other words, means the perimeter of the wall.

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please answer I need this answer fast please​

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D

its just a basic logarithmic law.

Answer: D!

Explanation: Simply look up the rules of logarithms. This rule will show.

find the value of x. round to the nearest tenth.

Answers

Answer:

x = 26.4

Step-by-step explanation:

Hi there!

What we need to know:

Basic trigonomic ratios (θ is the reference angle):

Sine θ = opposite / hypotenuseCosine θ = adjacent / hypotenuseTangent θ = opposite / adjacent

Given the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:

sin(x) = 4/9

To solve for an angle given the side lengths, we use the inverse functions:

x = sin^-1 (4/9)

x = 26.4

I hope this helps!

Solve x2 + 10x + 7 = 0 by completing the square.

Which equation is used in the process?

( x + 5) 2 = 32
( x + 5) 2 = 18
( x + 10) 2 = 93

Answers

The answer is second
(x+5)2 = 18

Find the remaining sides and angles in the triangle. Round your answers to the nearest tenth.
mZA = 55°, mZB = 44°, and b = 68
a. m2C = 81°, a = 96.7, c =80.2
b. m2C = 81°, a = 80.2, c = 96.7
C. m2C = 81°, a = 89.2, c = 57.7
d. m2C = 81°, a = 57.7, c =89.2

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

[tex]m\angle A = 55^{\circ}\\\\m\angle B = 44^{\circ}\\\\m\angle C = 180^{\circ}-(55^{\circ}+44^{\circ})\\\\[/tex]

         [tex]= 180^{\circ}-99^{\circ}\\\\=81^{\circ}\\\\[/tex]

 [tex]\frac{a}{\sin 55^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\a = \frac{68 \ \sin 55^{\circ}}{\sin 44^{\circ}}\\\\a= 80.2^{\circ}\\\\\frac{c}{\sin 81^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\c = \frac{68 \ \sin 81^{\circ}}{\sin 44^{\circ}}\\\\c= 96.7^{\circ}\\\\[/tex]

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