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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

Answer:

A=LxW

Step-by-step explanation:

It is same as the area of rectangles

A=LxW

Answer:

To find first Base and height of parallelogram then

Area= b×h

Answer:

$1019.92  

Step-by-step explanation:

A = 300(1.085)^15

Answer:

3a^2 + 5a - 2

Step-by-step explanation:

(a + 2)(3a - 1)

a(3a - 1) + 2(3a - 1)

3a^2 - a + 6a - 2

subtract like terms

3a^2 + 5a - 2

Answer: 4

Step-by-step explanation: bc

Answer:

ans: 80 °

Step-by-step explanation:

given two triangle are isosceles triangle so,

triangle having angle a;

a + 2d = 180

d = 54° ( since a= 72°)

d is vertically opposite to angle of triangle containing x,

similar reason for b ,

hence

x+ d + b = 180

x = 180 - 54 - 46

= 80°

Answer:

7.

green blocks represent n

and normale digits (plus green) are orange

Anne: 1 orange block and increasing 2 green blocks from 2 sides

Sanjay: one line of green and orange line plus 1

Robert: 2 times the amount of green blocks on both lines with 1 orange block on right path

9.

a.y = 6x

b.y = 2^x

c.y = x+10

10.

a. 2 green blocks and 2 orange blocks

c. 3 green blocks and 1 orangle blocks

b. 4 green blocks

d.2 green blocks and 1 orange block

Step-by-step explanation:

for 10, it doesn't really matter

Answer:

C

Step-by-step explanation:

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]0.08 {x}^{3} [/tex]

[tex]0.08( {5)}^{2} [/tex]

[tex]0.08 \times 125[/tex]

[tex]10[/tex]

Answer:

(-5, 4)

Step-by-step explanation:

Finding the X of B

-2 = x2+x1/2

-2 = x2+1/2 (substituted X co-ord of A into x1)

-4=x2+1 (multiplied both sides by 2)

-5=x2 (brought 1 to the other side)

Finding the Y of B

1 = y2+y1/2

1 = y2 - 2/2 (substituted Y co-ord of A into y1)

2 = y2 -2 (multiplied both sides by 2)

4 = y2 (brought 2 to the other side)

Step-by-step explanation:

x-14y=0

x=0/14y

x=14y

14y

Answer: The sequence generated is 10, 8, 6, 4, 2, ...

This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2

Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.

Answer:

Step-by-step explanation:

f(1)=10

n=1

f(1+1)=f(1)-2

f(2)=10-2=8

n=2

f(2+1)=f(2)-2

f(3)=8-2=6

n=3

f(3+1)=f(3)-2

f(4)=6-2=4

so sequence is 10,8,6,4,...

Answer:

18 metres below sea level.

Step-by-step explanation:

Since the diver swims up 4 metres every 12 seconds, that means the diver swims up 4 * (60/12) metres = 20 metres every minute. Therefore, he will have swum up 20 * 2 = 40 metres after 2 minutes. Factoring in the diver's original position, -58m, we can calculate his position to be -58 + 40 metres = -18 metres, meaning 18 metres below sea level.

Hope this helped!

Answer:

18 m below sea level

Step-by-step explanation:

Answer:

3v + 2c = $60

v + 2c = $48

Step-by-step explanation:

Let vanilla biscuits be represented by v and chocolate biscuits be represented by c.

Hope this helps! Let me know if you need help solving the simultaneous equations.

Answer:

5. 4

Step-by-step explanation:

[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]

brainliest please

Step-by-step explanation:

x+2y ≥ 4 => y ≥ -½x +4

-2x + y > -3 => y > 2x - 3

Answer:

Work out the equations of the lines first.

The solid line

The line is:

The dotted line

The line is:

The intercession zone is above of both of the lines, so the inequalities are:

Answer:

4/9 mi/hr = 0.44 mi/hr

Step-by-step explanation:

1/3 / 3/4 = 4/9 mi/hr

Hence, he walks at miles per hour is

What is a mile?

A unit of length is equal to exact [tex]1.609344[/tex] kilometers. Also equal to [tex]1,760[/tex]yards or [tex]5,280[/tex] feet.

Here given that,

Jonah walks [tex]\frac{1}{3}[/tex] miles in [tex]\frac{3}{4}[/tex] an hour.

So, it would be,

[tex]\frac{\frac{1}{3}}{\frac{3}{4}}=\frac{1}{3}[/tex] ×[tex]\frac{4}{3}[/tex]

[tex]=\frac{4}{9}[/tex]

Hence, he walks at miles per hour is

[tex]\frac{4}{9}mi/hr=0.44mi/hr[/tex]

To know more about miles

https://brainly.com/question/833967

#SPJ2

Answer:

36 9/16 in

Step-by-step explanation:

Amount of wood left = original length of the wood - length cut - length wasted

45[tex]\frac{1}{2} - \frac{1}{16} - 8\frac{7}{8}[/tex]

[tex]37\frac{8 - 1 - 14}{16}[/tex]

[tex]37\frac{-7}{16}[/tex]

36[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

-4

MARK AS BRAINLIEST...........

Answer:

2+(-6)

2-6

-4

Your Welcome

BIFFY OUT!!!

Answer:

D.

Step-by-step explanation:

The pattern is line across, then down, then across, then down, then across.

Answer:

D

Step-by-step explanation:

The steps are horizontal line, then vertical line. After the third image, the next line should be the horizontal line.

Answer:

The money borrowed by Morgan is $ 3.15.

Step-by-step explanation:

Money borrowed by Morgan to buy chips = $ 0.35

Number of times goes to the station = 9

Money borrowed by Morgan in 9 time visit to station

= 9 x $ 0.35

=$ 3.15

Answer:

La circunferencia del círculo es igual a Pi π veces el diámetro d. Dado que el diámetro d es igual a 2 veces el radio r, la fórmula para la circunferencia que usa el radio es 2πr 2 π r.

Step-by-step explanation:

Answer: the last one

Step-by-step explanation:

Answer:

2/7

Step-by-step explanation:

1

2

÷  

1 3

4

=  

1

2

÷  

7

4

=  

1

2

×  

4

7

=  

1 × 4

2 × 7

=  

4

14

=  

4 ÷ 2

14 ÷ 2

=  

2

7

Answer:

??????

Step-by-step explanation:

Answer:

The radius of the circle is 2 units.

Step-by-step explanation:

The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.

Answer:

x = 6

Step-by-step explanation:

a • b = c • d  where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord

2*x = 3*4

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

(4,0)

Step-by-step explanation:

Line segment EG is partitioned by point F in the ratio 1:3.

This means that:

[tex]F - E = \frac{1}{4}(G - E)[/tex]

We use this equation to find both the x-coordinate and the y-coordinate of point G.

x-coordinate:

x-coordinate of E: 0

x-coordinate of F: 1

x-coordinate of G: x

Then

[tex]F - E = \frac{1}{4}(G - E)[/tex]

[tex]1 - 0 = \frac{1}{4}(x - 0)[/tex]

[tex]1 = \frac{x}{4}[/tex]

[tex]x = 4[/tex]

y-coordinate:

y-coordinate of E: 4

y-coordinate of F: 3

y-coordinate of G: y

Then

[tex]F - E = \frac{1}{4}(G - E)[/tex]

[tex]3 - 4 = \frac{1}{4}(y - 4)[/tex]

[tex]-1 = \frac{y-4}{4}[/tex]

[tex]y - 4 = -4[/tex]

[tex]y = 0[/tex]

What are the coordinates of point G?

x = 4, y = 0, so (4,0).

Step-by-step explanation:

1 mn diameter self assembled

nature inspired structure