A cylinder with the base radius of 8cm and has a height 12cm.Calculate to four significant figure. i.the curved surface area. ii.total surface area. iii.surface area of the cylinder when opened at one end. Take π =3.142.

Answer:

Equation :

[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]

Step-by-step explanation:

To isolate the following matrix, we will have to divide either by matrix 1, or the co - efficient of the matrix shown below. By doing so we will have to take the inverse of the co - efficient of that same matrix on the other side. In other words,

[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}[/tex] - Matrix which we have to isolate,

[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}2&6\\ \:0&1\end{bmatrix}^{-1}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex] - Equation used to solve the matrix

Now as you can see this equation is not any of the given options. That is as we have to simplify it a bit further,

[tex]\begin{bmatrix}2&6\\ 0&1\end{bmatrix}^{-1} = \frac{1}{\det \begin{bmatrix}2&6\\ 0&1\end{bmatrix}}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \frac{1}{2}\begin{bmatrix}1&-6\\ -0&2\end{bmatrix} = \begin{bmatrix}\frac{1}{2}&-3\\ 0&1\end{bmatrix}[/tex]

We know that 1 / 2 can be replaced with 0.5, giving us the following equation to solve for x1 and x2,

[tex]\begin{bmatrix}x_1\\ x_2\end{bmatrix}=\begin{bmatrix}\0.5}&-3\\ 0&1\end{bmatrix}}\begin{bmatrix}2\\ -3\end{bmatrix}[/tex]

As you can see our solution is option d.

Answer: d

Step-by-step explanation: on edge

Answer:

(x - 12)² + y² = 100

Step-by-step explanation:

The standard form of the equation of a circle is;

(x - a)² + (y - b)² = r²

where:

a and b are the coordinates of the centre of the circle

r is the radius

We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)

Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.

Coordinates of the centre is;

((22 + 2)/2), (0 +0)/2))

This is;

(12, 0)

So, a = 12 and b = 0

Now,to get the radius r, we will use the formula;

r = √[(x2 - x1)² + (y2 - y1)²]

Where;

(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)

r = √[(12 - 22)² + (0 - 0)²]

r = √(-10)²

r = √100

r = 10

Thus,equation of the circle is;

(x - 12)² + (y - 0)² = 10²

(x - 12)² + y² = 100

Answer:

The distance between these points is approximately is 9.198 units.

Step-by-step explanation:

Let be (5.5, 2.9) and (-3.5, 4.8) the location of the points in Cartesian plane. The straight line distance between both points ([tex]d[/tex]) is determined by the Pythagorean Theorem, which is described below:

[tex]d = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex]

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Horizontal components of each point, dimensionless.

[tex]y_{A}[/tex], [tex]y_{B}[/tex] - Vertical components of each point, dimensionless.

If [tex]A = (5.5, 2.9)[/tex] and [tex]B = (-3.5,4.8)[/tex], the distance between these points is:

[tex]d = \sqrt{(-3.5-5.5)^{2}+(4.8-2.9)^{2}}[/tex]

[tex]d\approx 9.198[/tex]

The distance between these points is approximately is 9.198 units.

Answer: 20 5/8

Step-by-step explanation:

We did this problem in class and that’s the answer we got

Answer:20 5/8

Step-by-step explanation:

i think this is correct

Answer:

[tex]\huge\boxed{y=-3x+14}[/tex]

Step-by-step explanation:

[tex]y-2=-3(x-4)\\\\y-2=-3x+12\\\\y-2+2=-3x+12+2\\\\\boxed{y=-3x+14}[/tex]

First distribute the -3 through the parenthses

which gives us y - 2 = -3x + 12.

Move the number to the right side of the equation

by adding 2 to both sides to get y = -3x + 14.

Notice that the equation above is written in slope-intercept form because

the y term is isolated or by itself on the left side of the equation.

Answer:

Find the attached file for the solution

Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,

When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.

Find the attached file for the solution and table.

Answer:

Its the second option.

Step-by-step explanation:

The domain and range are just the x (domain) and y (range) values

Answer:

x < -1

Step-by-step explanation:

Step 1: Write out inequality

-10 + x + 4 - 5 > 7x - 5

Step 2: Solve

x - 6 - 5 > 7x - 5

x - 11 > 7x - 5

-11 > 6x - 5

-6 > 6x

-1 > x

Step 3: Rewrite

x < -1

Answer:

x < -1

Step-by-step explanation:

Answer:

[tex]2500 {kgm}^{3} [/tex]

Step-by-step explanation:

Density =

[tex] density = \frac{mass}{volume} [/tex]

Volume =lbh

Volume= 5x2x7.5

= 75cm^3

[tex]density( {gcm}^{3} ) = \frac{187.5}{75} \\ = 2.5 {gcm}^{3} \\ to \: change \: from \: {gcm}^{3} to \: {kgm}^{3} \\ multiply \: by \: 1000 \\ 2.5 \times 1000 \\ = 2500 {kgm}^{3} [/tex]

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than others equal to 60,000.

Step-by-step explanation:

The statement that compares the mathematical range and reasonable range of the function is the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144. The correct option is D.

A computer program is a set of instructions written in a programming language that a computer can execute. The software contains computer programs as well as documentation and other intangible components.

A program, or software program, is a set of instructions that guides the hardware of a computer to complete a task.

Therefore, the correct option is D, The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

To learn more about computer programs, refer to the link:

https://brainly.com/question/14618533

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Answer:

[tex]\frac{5}{7}:\quad 0.71428\\\\= 0.71\\\\\frac{0.71}{1}\times \frac{100}{100}\\ \\= 71/100\\\\= 71\%[/tex]

Step-by-step explanation:

The fraction 5/7 is equal to 0.7 or 70%.

To convert 5/7 to a decimal,

divide the numerator (5) by the denominator (7):

So, 5 ÷ 7 = 0.71428571...

Rounded to the nearest tenth, the decimal equivalent of 5/7 is 0.7.

Now, to convert 0.7 to a percent, we multiply it by 100:

0.7 x 100

= 70%

Therefore, when rounded to the nearest tenth, 5/7 is equal to 0.7 or 70%.

Learn more about Percentage here:

https://brainly.com/question/10830776

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Answer:

[tex]y=\frac{3}{2}x+3[/tex]

Step-by-step explanation:

Take the given equation:

[tex]-3x+2y=6[/tex]

Solve for y so that the equation is written in slope-intercept form:

[tex]y=mx+b[/tex]

m is the slope and b is the y-intercept. x and y are the coordinate points (x,y).

Solve for y:

Add 3x to both sides of the equation:

[tex]-3x+3x+2y=6+3x\\\\2y=3x+6[/tex]

Divide both sides of the equation by 2 to isolate y:

[tex]\frac{2y}{2}=\frac{3x+6}{2} \\\\ y=\frac{3}{2}x+3[/tex]

The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 3.

To graph, you need two points. You can use the y-intercept as one.

The y-intercept is the place where the line crosses over the y-axis, where x equals 0, so the point is (0,3).

Next, take any value for x and insert it into the equation. We'll use 2:

[tex]y=\frac{3}{2}(2)+3[/tex]

Using this, you can solve for the value of y when x is equal to 2.

Simplify:

[tex]\frac{3}{2} *\frac{2}{1}=\frac{6}{2}=3 \\\\y=3+3\\\\y=6[/tex]

So, when x=2, y is 6 (2,6).

Plot the points (0,3) and (2,6)

Draw a straight line through the two, going past both.

:Done

In the graph, one square is 1 unit

Answer:

Step-by-step explanation:

[tex]\frac x8-\frac12\ =\ 6\\\\{}\ \ \cdot8\qquad \cdot8\\\\x-4\ =\ 6\\\\{}\ +4\ \,\quad+4\\\\x\ =\ 10[/tex]

Answer:

x=-1

Step-by-step explanation:

6x-2=4x-4

-4x both sides

2x-2=-4

+2 both sides

2x=-2

divide by 2

x=-1

Answer:

2(3x-1)= 4(x-1)

Open bracket

6x-1= 4x-4

Group like terms

6x-4x= -4+1

2x=-3

Divide both sides by the coefficient of x

X= -3/2

Step-by-step explanation:

Step-by-step explanation:

5x-4=-3-x

5x+x=4+(-3)

6x=1

x=1/6

Answer:

Step-by-step explanation:

[tex] \sf{5x - 4 = - 3 - x}[/tex]

Move constant to R.H.S and change it's sign

Similarly, Move variable to L.H.S and change it's sign

⇒[tex] \sf{5x + x = - 3 + 4}[/tex]

Collect like terms

⇒[tex] \sf{6x = - 3 + 4}[/tex]

Calculate

⇒[tex] \sf{6x = 1}[/tex]

Divide both sides of the equation by 6

⇒[tex] \sf{ \frac{6x}{6} = \frac{1}{6} }[/tex]

Calculate

⇒[tex] \sf{x = 0.16}[/tex]

Hope I helped!

Best regards!!

Answer:

Step-by-step explanation:

Using the identity (x + 0.5)^2 = x(x + 1) + 0.25:

4.5^2 = 4 * 5 + 0.25 = 20.25

Also 4.45^2 = 19.8

so  4.47^2 will be closer to 20 than 4.5^2.

Answer:

[tex]width=12[/tex]

Step-by-step explanation:

The formula for the area of a rectangle:

[tex]Area=length*width[/tex]

Insert the known values:

[tex]180=15w[/tex]

Solve for w. Isolate the variable by dividing both sides by 15:

[tex]\frac{180}{15}=\frac{15w}{15} \\\\12=w[/tex]

w is equal to 12, so the width of the rectangle is 12 cm.

:Done

Answer:

Option B.

Step-by-step explanation:

We know that, if the graph of a function is reflected across the line y=x, then we get the graph of inverse of that function.

It means, the graph of inverse function is the mirror image of graph of function across the line y=x.

If h(x) is a function and h⁻¹(x) is its inverse function, then the line y = x is the perpendicular bisector of each segment connecting a point on h(x) to the corresponding point on h⁻¹(x).  

Therefore, the correct option is B.

Answer:

the answer is b

Step-by-step explanation:

i got a 100 on the edg quiz

Answer:

Suku yang kelima adalah 56

Answer:

B. x=75

Step-by-step explanation:

First, write out the equation as you have it:

x/5=15

Then, multiply both sides of the equation by 5/1:

5/1(x/5)=15(5/1)

Your result is:

x=75

Answer:-75 on a pex quiz 1.4.3

Step-by-step explanat

Answer:

Step-by-step explanation:

We are told that the equation is for a 3 year debt, which is also the period over which the . This means that we can use the equation.

(I/175.393) + 0.663 = r

We are given r = 23.6%

Plugging this vakue in for r gives;

l/175.393 + 0.663 = 23.6

l/175.393 = 23.6 - 0.663

l/175.393 = 22.937

I = 175.393 x 22.937

I = $4022.99, which is approximately

$ 4023

Answer:

The answer is in the pictures

Answer:

-2a + 3

Step-by-step explanation:

We can substitute a + 7 for x:

f(a + 7) = 17 - 2(a+7) = 17 - 2a - 14 = -2a + 3

Answer: The answer is 10 ft. I took the test but it didn't explain why it was the answer.

Answer:

130°

Step-by-step explanation:

Angle ABC = 180°-50° [°.° Supplementary angles]

= 130°

Hey there! :)

Answer:

[tex]\huge\boxed{n = 25}[/tex]

-1/5n + 7 = 2

Start by subtracting 7 from both sides:

-1/5n + 7 - (7) = 2 - (7)

-1/5n = -5

Multiply both sides by the reciprocal of -1/5, or -5.

(-5) · (-1/5n) = (-5) · (-5)

n = 25

Answer:

1/3

Step-by-step explanation:

that does make sense

Answer:

a) 1

Step-by-step explanation:

3(x + 1) = -2(x - 1) +6

3x + 3 = -2x  + 2 + 6

3x + 3 = -2x + 8

Subtract 3 from both sides

3x + 3 -3 = -2x + 8 -3

          3x = - 2x + 5

Add 2x to both sides

3x + 2x  = -2x + 5 +2x

        5x =  5

Divide both sides by 5

 5x/5 = 5/5

x = 1

Answer:

x = 2

Step-by-step explanation:

Given

5x - 4 = - 3x + 12 ( add 3x to both sides )

8x - 4 = 12 ( add 4 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

a = 97, b = - 56

Step-by-step explanation:

Given

[tex]\frac{7-4\sqrt{3} }{7+4\sqrt{3} }[/tex]

To rationalise multiply numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4[tex]\sqrt{3}[/tex] is 7 - 4[tex]\sqrt{3}[/tex]

= [tex]\frac{(7-4\sqrt{3})(7-4\sqrt{3}) }{(7+4\sqrt{3})(7-4\sqrt{3}) }[/tex] ← expand numerator/ denominator using FOIL

= [tex]\frac{49-28\sqrt{3}-28\sqrt{3}-48 }{49-48}[/tex]

= [tex]\frac{97-56\sqrt{3} }{1}[/tex]

= 97 - 56[tex]\sqrt{3}[/tex]

with a = 97 and b = - 56

Answer:

a = 97, b = - 56

Step-by-step explanation:

Answer:

1/2048 or 4.8828125*10^(-4)

Step-by-step explanation:

First, figure out the thickness of 1 sheet of paper in number format:

[(8*10)]^(-3)=(80)^(-3) or (1/(80)^(3))=1/512000

Now, multiply 1/512000 by 250 to find the thickness of 250 sheets of paper:

250(1/512000)=1/2048

In scientific notation, this is written as 4.8828125*10^(-4).