When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm
Answer:
The answer to your question is $21.0
Step-by-step explanation:
Data
Original price = $25
Discount = 20%
Taxes = 5%
Process
1.- Calculate the price with the discount
$25 ------------------- 100%
x ------------------- 20%
x = (20 x 25) / 100
x = 500 / 100
x = $5
Price after the discount = $25 - $5
= $20
2.- Calculate the price after taxes
$20 ---------------------- 100%
x ----------------------- 5%
x = (5 x 20) / 100
x = 100 / 100
x = $1
Final price = $20 + $1
= $21
2 classes of 21 students each
21 × 2 classes = 42 students in total
42 × 3 mins = 126 minutes for 42 students
10 mins for 2 class pics = 20 minutes
126 + 20 = 146 minutes = 2 hours and 26 minutes
It should take 146 minutes (2 hours and 26 minutes) to take all the pictures.
Given equation is 
.
Now we need to find about what are the key aspects of the graph of , where b is a real number.
We know that square of any number is always positive.
then 
must be a positive number.
So that means for any real number b, as the value of b increases then graph of f(x) shifts downward by units as compared to the graph of parent function 
Answer: IXL
Step-by-step explanation:
