Answer:
If P = (x,y) then formulas for each trigonometric functions are:
sin x = y/r
cos x = x/r
tan x = y/x
cot x = x/y
sec x = r/x
cosec x = r/y
where r = √(x²+y²).
First find r:
r = √(13²+84²)=√(169+7056)=√7225=85.
Then just substitute:
sin x = 84/85
cos x = 13/85
tan x = 84/13
cot x = 13/84
sec x = 85/13
cosec x = 85/84
Answer:
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Step-by-step explanation:
Assuming the numbers are exponents expect the coefficient of 2, top expression, -12x^3y^6, multiply bottom
and= 72x^4y^8
Answer:
- simplifies to 6x+6=-10
- x = -8/3 = -2 2/3
Step-by-step explanation:
3(4x+2)-6x=5x-5(2+x)
12x +6 -6x = 5x -10 -5x . . . . . eliminate parentheses using the distributive property
6x +6 = -10 . . . . . . . . . . . . . . . collect terms
x +1 = -10/6 . . . . . . . . . . . . . . . divide by 6
x = -1 - 5/3 . . . . . . . . . . . . . . . add -1
x = -8/3 . . . . . . . . . . . . . . . . . simplify
