Tutor profile: Christian B.
If a right triangle has angles 90, 30, 60 degrees and hypotenuse of 2, what is the sine of 30 degrees?
This is actually a one of the special triangles in Trigonometry... The 30, 60, 90 triangle has the following corresponding sides: 30 degrees = 1 60 degrees = sqrt(3)/2 -> this is the square root of 3 divided by 2... 90 degrees = 2 So, if you just remember this special triangle it is very easy to figure out any of the trigonometric functions! Remember, sine = opposite / hypotenuse If we are talking about the sin30, that means the opposite side is 1 and the hypotenuse is of course 2. Final Answer: sin30 = 1/2
Subject: Basic Math
What is the sum of 1/2 + 1/6 ?
To add or subtract fractions, the denominator (bottom number) has to be the same. Let's make that happen first... Start by identifying what number 2 and 6 have in common - which is 12. To make 2 into 12, we can multiply by 6. To make 6 into 12, we can multiply by 2. Remember, whatever you do to the denominator you have to do to the numerator (top number) So our new fractions will be: 6/12 + 2/12 = ? Now we can just add the numerators... 6/12 + 2/12 = 8/12 Make sure to simplify! In this case, 4 divides both 8 and 12 evenly. So our Final Answer would be: 1/2 + 1/6 = 2/3
2x+10 = 4 ; Solve for x
The name of the game here is to isolate the term containing a variable, in this case that is the 2x. Start by subtracting 10 from both sides. 2x+10 = 4 -10 -10 Gives us: 2x = -6 Now we can simply divide by 2 (both sides) to isolate our x! Final Answer: x = -3
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