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:
x ≈ 66.73
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° = 
= 
= 
( multiply both sides by x )
x × tan27° = 34 ( divide both sides by tan27° )
x = 
≈ 66.73 ( to 2 dec. places )
Answer:
A: Negative cash flow, $50
Step-by-step explanation:
Bob makes $3000 a month.
Every month he has to pay $950:
3000 - 950 = 2050
Pay an additional $250:
2050 - 250 = 1800
And another additional $1850:
1800 - 1850 = -50
Therefore, he has a negative cash flow of $50 a month.
The illustration of the program is shown in the figure. The missing value is the length of the shadow, that is the base of the right triangle. Since the figure is a right triangle, we can use the pythagorean theorems
c^2 = a^2 + b^2
where c is the longest length or the hypotenuse and a and b are the other two shorter legs. Let's denote the length of the shadow as 'a'.
a = √(c^2 - b^2)
a = √(36^2 - 35^2)\
a = √71 = 8.43 m
