Answer:
52.02 ft
Step-by-step explanation:
We can use equation tan θ = opposite/adjacent to solve for the opposite side x.
tan40° = x / 62
62tan40° = x
x = 52.02 ft
Y = 5 - 3x....so sub in 5 - 3x for y in the other equation
5x - 4y = -3
5x - 4(5 - 3x) = -3.....distribute the -4 thru the parenthesis
5x - 20 + 12x = -3...add 20 to both sides
5x + 12x = -3 + 20...combine like terms
17x = 17...divide both sides by 17
x = 17/17
x = 1
now sub 1 in for x into either of the original equations to find y
y = 5 - 3x
y = 5 - 3(1)
y = 5 - 3
y = 2
check...
5x - 4y = -3
5(1) - 4(2) = -3
5 - 8 = -3
-3 = -3 (correct)
so ur solution is (1,2)
6
Slope is change in y over change in x. -2-4 is -6, and -6- -5 which is -6+5 is -1. -6 over -1 is positive 6, so the slope is 6.
Answer: choice C) x-y <= 2
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Explanation:
The two points (0,-2) and (2,0) are on the boundary line. The boundary line equation is y = x-2. We find this equation through the use of the slope formula to find that m = 1. The y intercept is -2 so b = -2. Therefore, y = mx+b turns into y = 1x+(-2) which simplifies to y = x-2
The equation y = x-2 can be arranged to get x-y = 2 (subtract y from both sides; add 2 to both sides)
So the answer is either x-y <= 2 OR it is x-y >= 2
The question is: which inequality has the test point (0,0) in it? We pick on the origin since 0 is the easiest number to work with.
Plug (x,y) = (0,0) into the equation for choice C
x-y <= 2
0-0 <= 2
0 <= 2
which is true. So choice C is the answer.
Choice D can be ruled out since...
x-y >= 2
0-0 >= 2
0 >= 2
which is false: 0 is not larger or equal to 2
Answer:
csc(x) = 
Step-by-step explanation:
sinx + cos^2(x)/sin(x) = sin(x) + (1-sin^2(x))/sin(x) = 1/sin(x) = csc(x)
csc(x) =
