tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × <u>2 Sin(20).Cos(20)</u>/ Cos(20) =
Sin( 20 ) + 2 × <u>Sin( 40 )</u><u> </u>/ Cos( 20 ) =
Sin( 20 ) + 2<em>Sin( 40 )</em> / Cos( 20 ) =
Sin( 20 ) + 2<em>C</em><em>o</em><em>s</em><em>(</em><em> </em><em>5</em><em>0</em><em> </em><em>)</em><em> </em>/ Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + <em>2Cos ( 20 + 30 ) </em>/ Cos( 20 ) =
Sin( 20 ) + <em>√</em><em>3</em><em> </em><em>C</em><em>o</em><em>s</em><em>(</em><em>2</em><em>0</em><em>)</em><em> </em><em>-</em><em> </em><em>S</em><em>i</em><em>n</em><em>(</em><em>2</em><em>0</em><em>)</em><em> </em>/ Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
The answer is third option or answer Choice C.
Answer:
x = 10
Step-by-step explanation:
Two less than three times a number is 28
Let's break it up.
2 less than: -2
3 times a number: 3x (x is representing a number")
is 28: = 28
So, let's put that together.
Two less than three times a number is 28
3x - 2 = 28
Now, let's solve this.
First, let's isolate the x.
To do this, we must add 2 to each side.
3x - 2 = 28
+2 +2
3x - 2 + 2 = 3x
28 + 2 = 30
We have 3x = 30
Now, we must simplify.
To do this, we must divide each side by 3.
This, in term, will tell us what x equals.
3x = 30
--- ----
3 3
3x/3 = x
30/3 = 10
x = 10
Answer:
starts wuth 46, and sells half, so she has 23. then when she buys 17 more she then has 40.
if you are asked to show work its 46/2=23, then 23+17=40!
Slope is 1/2. The equation to solve it is y2-y1 / x2-x1. I hope you understand it now :)