(1/64)-5/6 = 32
To subtract fractions they must have common denominators, so find the least common multiple of 64 and 6 (the denominators of the fractions).
The least common multiple of the two fractions' denominators is 192. To get 64 to 192, you would multiply 64 by 3 times. If you're multiplying 64 by 3, you also multiply the numerator by 3.
1/64 * 3/3 = 3/192
Now to get 6 to 192, you would multiply 6 by 32. If you're multiplying 6 by 32 then you will also multiply the numerator (5) by 32.
5/6 * 32/32 = 160/192
Subtract the fractions now that they have common denominators. You'll only need to subtract the numerators.
3/192-160/192 = -157/192
You cannot simplify this any farther, so that will be your true answer. -157/192 is NOT equal to 32, so this means the answer is false.
Answer is:
false
Answer:
A, C, D, E
Step-by-step explanation:
Check the problem again!Cosecant (csc) is the reciprocal of sine (sin) so they are always either both positive or both negative. Perhaps it should be sine < 0 and cosine > 0? In that case, sine is less than zero in quadrants 3 and 4, and cosine is greater than zero in quadrants 1 and 4, so this angle can only lie in quadrant 4. On the unit circle, remember that cosine is the x-coordinate of the terminal side of the angle and sine is the y-coordinate. Quadrant 1 is that where both sine and cosine are greater than zero. The rest of them are numbered consecutively going counter-clockwise; so quadrant 2 has cos < 0 and sin > 0, quadrant 3 has cos < 0 and sin < 0, and quadrant 4 has cos > 0 and sin < 0
<h3>
Answer: 37</h3>
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Work Shown:
We have a triangle with sides a,b,c such that
The third side c can be represented by this inequality
b-a < c < b+a
which is a modified form of the triangle inequality theorem.
Plug in the given values to get
b-a < c < b+a
20-17 < c < 20+17
3 < c < 37
The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.
Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.
The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.
So that's why 37 is the only possible answer here.
0=41
(need 20 characters dont mind this)
