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The slope is the "m" in   y = mx + b

So.......

y = -3x + 2       means that the slope  = " - 3"

78°  = acute angle

144°  = obtuse angle

229 = 2.29 x 10^2

750 = 7.5 x 10^2

How do I write 750 in scientific notation? 

No prob......!!!!

Because

" An approximate solution can be obtained quickly by noting that when theta is small then sin(theta) ≈ theta - theta^3/3!'

Note : Alan derives this from the first two terms of the Taylor Series for the sine function :

sin x = x − x 3 3! + x 5 5! − x 7 7! + x 9 9! − ....

Thanks so much! c:

theta = 0 is another solution.

An approximate solution can be obtained quickly by noting that when theta is small then sin(theta) ≈ theta - theta^3/3!

This results in  theta - theta^3/6 = 0.955theta

theta(1 - 0.955 - theta^2/6) ≈ 0

1.   theta = 0

2.  theta^2 ≈ 0.27  so theta ≈ +/- 0.52

.

230     =  2.3 x 10^2

5601  = 5.601 x 10^3

14 100 000   =  1.41 x  10^7

56 million  =  56  000  000   =   5.6 x 10^7

2/10  =   .2   =   2 x 10^(-1)

0.089   =  8.9  x 10^(-2)

0.000 26  =  2.6 x 10^(-4)

0.000 000 698   = 6.98 x  10^(-7)

12 thousandth = .012 =  1.2 x 10^(-2)

Picture explanation:

5 = 50 - 2x2        add 2x2 to both sides, subtract 5 from both sides

2x2  = 45          divide both sides by 2

x2 = 45/2            take pos/neg roots of both sides

x = ± √ (45/2)  =  ± √ [ (9 * 5) / 2 ]   =  ± 3√(5/2)  =  ± (3/2)√10

5=50-2x^2

-45 = -2x^2

22.5 = x^2

x = sqrt(22.5)= +-4.743

Assuming that the first row is "Row 0 "..... the 5th number in row 50 will be given  by  the combinatoric  C(50, 4)   = 230.300

a=30840

Here is a pic of the triangle :

The three altitudes are DC = 8 , AE and BF  = 9.6

And the sum of these = 8 + 2(9.6)  =  27.2

draw 50 dots but each do counts a three 

you would have 3eggs

9-2x = 35

subtract nine from both sides

-2x=26

divide by -2 on both sides

x=-13

A 30-in. prop holds the lid open on a grand piano. The base of the prop is 59 in. from the lid's hinge. What angle does the lid make with the piano top when the prop is placed perpendicular to the lid?

Rectangular triangle
Hypotenuse c = 59 inch
Opposite side h = 30 inch
Inclination angle: alpha

alpha = arcsin(h/c)

alpha = arcsin(30 / 59)

alpha = 30° 33.7'

The lid of the piano is 30° 33.7' inclined.

!