Answer:
sin∅= - √6/3
Step-by-step explanation:
Trigonometric function cos is even function which mean:
cos (-∅) = cos ∅
Trigonometric function sin is odd function which mean:
sin (-∅) = - sin∅ => sin∅ < 0
The basic trigonometric equation reads in this case with angle marked ∅:
sin²∅ + cos²∅ = 1 => sin²∅ = 1 - cos²∅ => sin²∅ = 1 - ( √3/3 )² =>
sin²∅ = 1 - (3/9) => sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 => sin∅ = - √(2/3) =>
sin∅ = - √2/√3 => sin∅ = - √6/3
God with you!!!
Answer:
22 of the 95$ ones and 10 of the 125
Step-by-step explanation:
22 times 95 = 2090
10 times 125 = 1250
2090+1250=3340
hope this helped
Answer:
10
Step-by-step explanation:
g(f(x)) = g(3x² - 4) = 2(3x² - 4) - 6
so
g(f(2) = 2(3*2² - 4) - 6 = 2*8 - 6 = 16 - 6 = 10
Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.