Answer:
The Law of Cosine : cos C = 
Step-by-step explanation:
See the figure to understand the proof :
Let A Triangle ABC with sides a,b,c,
Draw a perpendicular on base AC of height H meet at point D
Divide base length b as AD = x -b and CD = x
By Pythagoras Theorem
In Triangle BDC And In Triangle BDA
a² = h² + x² ( 1 ) c² = h² + (x-b)²
c² = h² + x² + b² - 2xb ...(. 2)
From above eq 1 and 2
c² = (a² - x²) + x² + b² - 2xb
or, c² = a² + b² - 2xb .....(3)
Again in ΔBDC
cos C = 
Or, cos C = 
∴ x= a cos C
Now put ht value of x in eq 3
I.e, c² = a² + b² - 2ab cos C
Hence , cos C =
Proved Answer
Answer:
3^-1 > 1/4
Step-by-step explanation:
3^-1 = 1/3
1/4 = 1/4
1/3 = 0.3333
1/4 = 0.25
0.3333>0.25
3^-1 > 1/4
48 * .5 = 24
24 the amount of money discounted off the price
Therefore it would be 48 - 24 = 24, but then comes the sales tax.
Do 24 * .045 = 1.08
1.08 is the amount of tax owed on the game so you'd do
24 + 1.08 = 25.08
A) The total cost for the game is 25.08
B) Unfortunately he is short by 8 cents and won't be able to buy the video game he wants.