Assuming the possible digits are from 0-9, there are 10*9*8 possibilities which come out to 720
Answer:
feet
Step-by-step explanation:
In a 30-60-90 triangle, the ratios of the side lengths of the triangle is
Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.
First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:
Solving for x, we find that
So the length of the original pole would be feet
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The answer to #5 is 171
The answer to #6 is -344
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Solve the trigonometric equation:
Restriction for the solution:
Square both sides of
(i):
Let
So the equation becomes
Solving the quadratic equation:
You can discard the negative value for
t. So the solution for
(ii) is
Substitute back for
t = sin x. Remember the restriction for
x:
where
k is an integer.
I hope this helps. =)