Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
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-8-n=-6n+12
+8. +8
-n=-6n+20
+6n +6n
5n=20
5. 5
n=4
Answer:
The probability of a person going to work by car is 48
And the probability of different way is 52
Step-by-step explanation:
As it's represented in the table above, there are 48 percent employees use cars as their transportation to work, and to find the rest sum all the probability of other transportation together which will give you 52 percent.
SOLUTION
Write out the denominator of the fraction, we have
We want to obtain the least common denominator.
To do this, we need to factorize each of the expression given
Then we factorise the other fraction using difference of two square
The the factorise expression becomes
To obtain the least common denominator, we select the common factor and the product of the other factor,
Hence
Thus
The Least Common Denominator is (x +3)(x+3)(x-3) (Last Option )
