find the surface area of this cylinder using pie.

Answer:

I went through and graphed them all, and the graph for A matched perfectly :)

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer:

2

Step-by-step explanation:

The y-intercept is when the line intersects the y-axis. In this image, you can see that the line intersects at 2 on the y-axis.

Hope this helps! :)

Answer:

A is Phosphourous, B is Oxygen

Step-by-step explanation:

The highest boiling point on the chart is 280 which belongs to Phosphouors, meaning that it has the highest boiling point. If you count it out, -183 you'd have to add 183 to get to 0, with 184 you would have to minus 184 to get to 0. So therefore oxygen's boiling point is closer to iodine.

Answer:

Not sure what is asking,but if it is asking for the equation. Then it is 13/3.

Step-by-step explanation:

Answer:

A. 8

Step-by-step explanation:

Answer:

A/8

Step-by-step explanation:

Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That  leaves you with x=8

Answer:

71

you just had to add them

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

take the number of papers and divide it by cost to determine the number of papers/dollar

350/140

(kinda like a fraction, ima just simplify to make it easy to see the answer)

35/14

5/2

2 1/2

Hope This Helps

Answer:

2.5 is the answer

Step-by-step explanation:

Answer:

The variable 8. Equation is 16 + 12x = 112.

Step-by-step explanation:

We know that she spent $16 dollars on magazines, so we can put it in the equation (16 + x= ?). We also know that the total is $112, so we can also add that (16+ x= 112). We don't know how many books she got, but we do know how much they cost (16 + 12x=112. So that makes  the books the variable (X).

To find the variable we need to take out the magazines from the price. 112-16=96. Now we're left with 12x=96. Now all we have to do is divide 96 by 12, which equals 8.

Sorry everything is so long, I tried to make it short as possible

Answer:

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Step-by-step explanation:

23/50 of Xander's friends prefer to stay home on Friday nights.

What percent of Xander's friends prefer to stay home on Friday nights?

% of Xander's friends that prefer to stay home on Friday nights

= 23/50 × 100

= 0.46 × 100

= 46%

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Answer:

Rocks

Explanation:

I'm quite sure scientists have looked at rock mass to determine Earth's crusts.

Answer:

1

Step-by-step explanation:

Answer:

For X:

Divide each term by 9

and simplify.

x= y/9 + 8/9

For Y:

y= 9x−8

Answer:

Yes, it represents a function

Step-by-step explanation:

Doing the vertical line test, no point goes through the vertical line twice

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46

Answer: the answer is A.

Step-by-step explanation:

I took the test

Given :

If a number is tripled , it give same result as 28 is added to.

To Find :

We need to find that number.

Solution :

Let, the number is x.

Mathematical equation of the given scenario is :

3x = x + 28

3x - x - 28 = 0

2x - 28 = 0

x = 14

Therefore, the which give such result is 14.

Answer:

Answer :>

Step-by-step explanation:

Given :

If a number is tripled , it give same result as 28 is added to.

To Find :

We need to find that number.

Solution :

Let, the number is x.

Mathematical equation of the given scenario is :

3x = x + 28

3x - x - 28 = 0

2x - 28 = 0

x = 14

Therefore, the which give such result is 14.

T-T thank you  

Hey there!

x = 5

“y = -67.9(5) + 679”

-67.9(5) = -339.5

NEW EQUATION: “y = -339.5 + 679”

Solve above ^

Answer: y = 339.5 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

339.5 m

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

We can find the slope of the line using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 15 - 10)/( 21 - -9)

    = ( 15-10) /( 21+9)

    =5 / 30

  = 1/6

Answer:

57°

Step-by-step explanation:

LHS angle=RHS angle=57° (vert. opp angles)

Answer: Answer and explanation in picture

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Follow you finger 2 marks on the x axis and then move your finger up or down to say the resulting y value

Answer:

4[tex]x^{4}[/tex][tex]y^{4}[/tex]z

Answer:

z=5

Step-by-step explanation:

12.2z​+ 19.4 = -2.7​z​ + 93.9

14.9z=74.5

z=5