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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Answer:
The equation is;
y = 1/3x
Step-by-step explanation:
The equation of a linear model is given as;
y = mx + b
m is the slope while b is the y intercept
As we can see, the y intercept is the origin and that means b is zero
To get the value of m, the slope, we have to use the slope equation
We simply select any two points on the line
We have the points as (6,2) and (15,5)
The equation of the slope is:
m = (y2-y1)/(x2-x1)
(x1,y1) = (6,2)
(x2,y2) = (15,5)
m = (5-2)/(15-6) = 3/9 = 1/3
So the equation will be;
y = 1/3x
The answer is
$2,939 (see attachment for formula)
Answer:
perpendicular lines
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let consecutive odd integers be (2x + 1) and (2x + 3)
Their reciprocals are 
and 
483*(4x+4) = 44*(4x² + 8x + 3)
483*4x + 483*4 = 44*4x² + 44*8x + 44*3
1932x + 1932 = 176x² + 352x + 132
176x² + 352x + 132 -1932x - 1932 = 0
Combine like terms
176x² + 352x - 1932x - 1932 + 132 = 0
176x² - 1580x - 1800 = 0
Divide the equation by 4
44x² - 395x - 450 = 0
