Answer:
32760
Step-by-step explanation:
There are 4 positions on the board. There are 15 possible candidates for the first position. That leaves 14 candidates for the second position. Which leaves 13 for the third position, and 12 for the fourth position.
15 × 14 × 13 × 12 = 32760
From the first inequality x > 2 - 3 so x> -1
and from the second:- x <= 4
so the graph will be a number line with an open circle at x = -1 and a closed circle at x = 4 and the line is shaded in between.
Answer: x = 9.6
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Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
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Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
