Answer:
<h3>34.61</h3>
Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
Angles around a point equal 360°, so n = 360 - 291 = 69°
Thus, as angles in a triangle add to 180°, m = 180 - 31 - 69 = 80°
6^2/2(3)+4
Follow the order of operations, (GEMDAS) which goes like this:
<em>grouping, exponents, multiplication/divison, addition/subtraction
</em>
First up is our grouping, specifically parentheses. While we do have parentheses in our expression there isn't anything going on <em>inside</em> of them that we'd have to do first. (The 2(3) is another way of writing 2×3.)
Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.
Now our expression is 36/2(3)+4.
Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
Then 18(3) = 54.
If we took 36(3) then divided by 2 we would get the same answer.
However, what you <em>cannot</em> do is multiply the 2(3), simply because the 2 is a denominator of a fraction. If you don't know what this is or why, it's okay--just always do it left to right and you'll never have to worry about it.
Now our expression is 54+4.
Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.
F ( x ) = ( 3 x + 6 ) ( 3 x - 6 ) / ( 3 x + 6 ) = 3 x - 6
and for domain : 3 x + 6 ≠ 0
3 x ≠ - 6
x ≠ - 2
Answer:
C ) graph of 3 x - 6, with discontinuity at - 2.
