If a line has a slope of 3, what is the slope of a line perpendicular to it?

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:

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:

3rd Option

Step-by-step explanation:

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:

that is an unusual question...

there is no table present... I will assume a 10x10 addition table

6.  up one row subtracts 10 right one column adds one... so

the result is "subtract 9"

7. same logic as "6" result "subtract 53"

8.

Step-by-step explanation:

Step-by-step explanation:

A typically addition equation is

[tex]x +y = z[/tex]

where x and y is the addends and z is the sum.

Addends both play a role in what the sum will be and they are interchangble.

A addition table have rows and columns. If we move right or down, our sum will increase. If we move left or up, our sum will decrease.

Now let answer the question.

6. If we move the up one row( which is horinzontial), our sum will decrease by 1 then if we right one column our sum will increase by 1. So this means each value will stay the same.

7. If we move up 5 rows, our sum will decrease by 5. If we move to left 3 columns, our sum will increase by 3. So all of our values will decrease by 2.

The number should be 4 less than you choose.

Answer:

125

Step-by-step explanation:

5² x 5^4 x 5^-3

25 x 625 x 0.008

= 125

Step-by-step explanation:

1 mn diameter self assembled

nature inspired structure

Answer:

19.63 inches

Step-by-step explanation:

The area of a circle is found by using the formula

A = πr²

r is the radius of the circle, which is the diameter divided by two.

D = 5 in so r = D ÷2

5 ÷ 2 = 2.5 inches for the radius.

A = π (2.5)²

A = π (6.25)

A = (3.14)(6.25)

A = 19.625 inches

Answer:

$1019.92  

Step-by-step explanation:

A = 300(1.085)^15

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:

7.5 = OM

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side / hypotenuse

sin 30 = OM / UN

sin 30 = OM / 15

15 sin 30 = OM

7.5 = OM

Answer:

0.67!

Step-by-step explanation:

0.6 is just 0.60 which is less than 0.67

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:  10xy²

We can type 10xy^2 to mean the same thing.

==========================================

Explanation:

The LCM of the coefficients 5 and 10 is 10. Note how 5 is a factor of 10.

For the variable portions, you select the terms that are unique and have the highest exponent. We have an x term with exponent 1 and y term with exponent as high as 2. So that's why we go with xy² as the variable portion.

Overall, we end up with an LCM of 10xy²

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:

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:

8 and 9

Step-by-step explanation:

let 'n' = smaller positive integer

let 'n+1' = larger

n² = 5(n+1)+19

n² = 5n + 5 + 19

n² = 5n + 24

n² - 5n - 24 = 0

(n-8)(n+3) = 0

n = 8  [this is the smaller positive integer]

n+1 = 9  [this is the larger positive integer]

n = -3  [this value can be discounted because it is not positive]

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).

Answer:

y = -2/3x + 3

Step-by-step explanation:

y = -2/3x + b

5 = -2/3(-3) + b

5 = 2 + b

3 = b

Answer:

The answer to your question is 1,-0.25

Step-by-step explanation:

Use desmos! Put the first part of the question (1/2x-3/4) into one slot, and then put the second part of the question (3/8-5/8x) into a different one. you'll find two lines intersecting, click on where the lines intersect and then you'll find the answer.

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

Solve for y in the first equation.

Answer:

y= 3x-2

Step-by-step explanation:

i think

Answer:

37.7 cm

Step-by-step explanation:

circumference of a circle = 2πr

=2*3.14*6

=37.68

=37.7 cm

Answer:

Circumference of circle is 37.68 cm ².

Step-by-step explanation:

Given :-

To Find :-

Formula Used :-

Where,

Solution :-

Using Formula

Circumference of circle = 2 π r

substitute the values

Circumference of circle = 2 × 3.14 × 6 cm

multiply the values

Circumference of circle = 37.68 cm

Hence, circumference of circle is 37.68 cm ².

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]

Answer:

MN = 50

Step-by-step explanation:

GiVEN = PQ = 49 – 8x and  c= 41 + 3x

Needed =   measurement = MN

Find MN:

MN = 41 + 3x

Plug in the value of x

MN = 41 + 3(3) = 41 + 9

MN = 50

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.

Step-by-step explanation:

x-14y=0

x=0/14y

x=14y

14y