Answer:
12
Step-by-step explanation:
1/3 of 12 = 4
1/4 of 12 = 3
4 is 1 more than 3.
The number is 12.
_____
If this does not immediately come to mind, you can solve for the number, x:
x/3 -x/4 = 1 . . . . the difference between 1/3 of x and 1/4 of x is 1
x/12 = 1 . . . . . . . collect terms: (1/3 -1/4 = 4/12 -3/12 = 1/12)
x = 12 . . . . . . . . multiply by 12
Answer:
Part A: 13.2
Part B: see below
Step-by-step explanation:
<u>Part A</u>:
13.245 rounded to tenths is 13.2
<u>Part B</u>:
The rule is ...
<em>Add 1 in the number place you're rounding to if the digit to its right is 5 or more. Drop (or zero) all digits to the right of the place you're rounding to.</em>
Here, the digit to the right of the tenths place is 4, so no action is taken other than dropping digits to the right of the tenths place.
First lets see the pythagorean identities

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
< is the answer. Hope this helps!