Answer:
a) 9.62m (3 s.f.)
b) 2.58m (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
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1 answer:
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39)
Its always best to factorise where you can, in most questions it tends to be a necessary step and even if its not, it usually makes things easier;
In this case, you can factorise the denominator:
To get y-intercept/s, set x = 0 and solve:
y-intercept: (0, 1/12)
To get x-intercept/s, set y = 0 and solve:
x-intercept: (1, 0)
To find the asymptotes, it is necessary for us to have factorised the denominator so its a good thing that I did so at the beginning;
To get the vertical asymptote/s, set the denominator equal to 0, then just rearrange to get x:
vertical asymptotes: x = 4 and x = -3
There are no horizontal asymptotes.
Its always best to factorise where you can, in most questions it tends to be a necessary step and even if its not, it usually makes things easier;
In this case, you can factorise the denominator:
To get y-intercept/s, set x = 0 and solve:
y-intercept: (0, 1/12)
To get x-intercept/s, set y = 0 and solve:
x-intercept: (1, 0)
To find the asymptotes, it is necessary for us to have factorised the denominator so its a good thing that I did so at the beginning;
To get the vertical asymptote/s, set the denominator equal to 0, then just rearrange to get x:
vertical asymptotes: x = 4 and x = -3
There are no horizontal asymptotes.
Answer:
Step-by-step explanation:
By using the cos square identity in trigonometry i.e., cos2ϴ = 1 – sin2 ϴ, we can evaluate the exact value of cos(33 ). For calculating the exact value of cos(∏/6), we have to substitute the value of sin(30°) in the same formula.
cos(30°) = √1 – sin230°
The value of sin30° is 1/2 (Trigonometric Ratios)
cos(30°) = √1 – (1/2)2
cos(30°) = √1 – (1/4)
cos(30°) = √(1 * 4 – 1)/4
cos(30°) = √(4 – 1)/4
cos(30°) = √3/4
Therefore, cos(30°) = √3/2