Just use / - it will appear onscreen as a fraction.

   57\(\frac12\) %   of   12

= 57.5 %   of   12

= 0.575 * 12

= 6.9       

(9825+35−5.7)×(9.0×106)

(9825+35-5.7)*(9.0*106) = 9401002.2 = 9.4010022*10^6

I just did it one the Web2.0 calculator

arc sin is the same as inverse sine

use asin( )

y=4x-1

Is the answer needing to be simplified?

We have to know more about the triangle than just one side...

Look at these two triangles...they both have one side that is 5 inches long:

But the angles are all very different!

slope = \(\frac{\text{change in y value between two points}}{\text{change in x value between two points}}\)

or you can say.....

slope = \(\frac{\text{rise}}{\text{run}}\)

If you are given two points,    ( x₁ , y₁ )   and   ( x₂ , y₂ )

slope = \(\frac{y_1-y_2}{x_1-x_2}\)

prequel memes

(1.75* 10)^-2   =

(17.5)^-2  =

1 / (17.5)²  =

1 / 306.25        multiply   top/bottom  by  4 

4 / 1225  

You  also  could be asking this :

1.75  *  10^-2    =    .0175

\(-2+\frac34 \\~\\ = -\frac{8}{4}+\frac{3}{4} \\~\\ =\frac{-8+3}{4} \\~\\ =\frac{-5}{4}\)

(x+1/x)^2 = 3      expand the left side

x^2 + 2 +  1/x^2  = 3         subtract 3 from both sides

x^2 -  1  +  1/x^2   =  0         (1)

Now      x^3   +  1/x^3    is   a sum of cubes  which can be factored as

(x +  1/x)  ( x^2   -  1  +  1/x^2 )         sub (1)  into this factorization 

( x + 1/x)   (  0 )     =

0

Solve for a: arccos(cos(A)), cos(a)=4/8.06

arccos(4/8.06) = 60.245947106754 degrees

arccos(4/8.06) = 1.051490137995 radians

Therefore:

the measure of angle a is ~ 60.245947106754 degrees (~ 1.051490137995 radians)

*F**T*

I've tried to understand it so far, and I have figured out that calculus is using estimates that get closer and closer and closer to something to the point where it makes sense that something might work a certain way.

One example: \(\pi = 4(1 - \frac{1}{3} + \frac{1}{5} - \frac{1}{7} + \frac{1}{9} - \frac{1}{11} + \dots)\) Only after infinite repetitions will you get the answer.

Another example: \(\phi = 1 + \frac{1}{1+\frac{1}{1+\frac{1}{1+\dots}}}\) Again, only after infinite repetitions will you get the answer (a.k.a. the golden ratio (can be used to make a "perfect" rectangle that can be divided using a method infinite times constantly getting the same ratio), phi)

Finally, somewhere that I can share this with!

Technically, it can also be 11 or 10.

If you are working in base 6: \(5+2 = (6^{1} = 6)+( 6^0 = 1 ) = 6+1\)But since it's base 6, you take the multiplying values in the middle and use those.

Same sort of goes for base 7.

Look at the graph here :  https://www.desmos.com/calculator/ix2z5pitdl

To write a piecewise function, we will have two linear equations

One line  will contain the points  (-4, 3.5)  and ( -2, 1.5)   

The slope for this line  is    [ 3.5 - 1.5] / [ -4 - - 2]   =  [2]/ [-2]  =  -1

And the equation for this line is given by :

y =  -1( x - -2)  + 1.5

y = -1x - 2  +  1.5

y = -1x - .5

The other line will contain the points  ( 0, 3.5) and (-2, 1.5)

The slope of this line is   [ 3.5 - 1.5] / [ 0 - - 2]  =  2 / 2  = 1

And the equation of this line is :

y = 1(x - 0) + 3.5

y = x + 3.5

So.... the piecewise function is

          -1x  - .5          -inf < x ≤ - 2

y  = 

            x + 3.5         - 2  <  x  <  inf

2/1 is 2

(4x)/2 is 2x

Hence 2*(2x)= 4x

"sin" is used in calculators to measure the sine of an angle. There are 2 ways to calculate sin(x).

First, draw a right triangle with one angle with measure x. The hypotenuse of the right triangle should be 1. If x is more than a right angle, continue the leg and hypotenuse of the right triangle. Out of the 4 angles that are formed (2 pairs), select the smallest pair, and replace x with that. The length of the opposite leg relative to angle x is the sine of the angle. (Easiest when angle is given in degrees)

Draw a circle with radius one. Then, starting from the top, travel x around the circle. The y-value of the location is the sine of the angle. (Easiest when angle is given in radians)

(x - 4)² + (y - 2)² = 9

We want to multiply this out.

(x - 4)(x - 4)   + (y - 2)(y - 2) = 9

(x² - 8x + 16) + (y² - 4y + 4) = 9

x² - 8x + 16 + y² - 4y + 4 = 9

Rearrange and subtract 9 from both sides.

x² + y² - 8x - 4y + 16 + 4 - 9 = 0

x² + y² - 8x - 4y + 11 = 0

13) radius = 18 in.            diameter = radius * 2 = 18 * 2 = 36   in.

14) diamter = 50 mm.       radius = diameter / 2      .....can you finish it from here?

15) radius = 8 ft.              area of semicircle = (1/2)(π)(radius²) = (1/2)(π)(8²) = 32π   sq. ft.

16) Angles T and V are supplementary. That means

      angle T + angle V = 180º

      (5x + 20) + (40)    = 180º       ......can you finish it from here?

17) 5 shirts for $20 = $20 / 5 = $4 per shirt

       1 shirt for $3    = $3 / 1   = $3 per shirt      ....which is a better deal?

18) $200 plus 7.5% tax = 107.5% of $200 = 1.075 * $200  ...put this into a calculator.

19) You will save 40% of $85 ...that is 0.4 * $85

20) 106% of (75% of $400) = 1.06(0.75 * 400)

21) $60* (fraction) = $25    →    fraction = 25/60 = 41\(\frac23\)% ...so the sales percentage is 100% - 41\(\frac23\)%

22) In other words... 84º + whatº = 90º

23) In other words... 73º + whatº = 180º

24) Vertical angles are congurent, that means if angle x and angle y are vertical angles, the measure of angle x = the the measure of angle y.

We have the form

( x - h)^2  + ( y - k)^2  = r^2      where  (h, k) is the center and r is the radius  ....so.....

(x + 2)^2  + (y - 7)^2   = 4           expand

x^2 + 4x + 4 + y^2 - 14y + 49  = 4       subtract 4 from both sides

x^2 + y^2 + 4x - 14y + 49 = 0

What is the answer for (2/5)^3 and if can be simplified?

\({\color{blue}(\frac{2}{5})^3=}\frac{2^3}{5^3}\color{blue}=\frac{8}{125}\color{blue}=0.064\)

  !