Answer:
x = (8√3)/3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = x
Side length adjacent to reference angle = 4
Apply CAH, thus:
Cos 30 = Adj/Hyp
Cos 30 = 4/x
x × Cos 30 = 4
x = 4/Cos 30
x = 4/(√3/2) (cos 30 = √3/2)
x = 4 × 2/√3
x = 8/√3
Rationalize
x = (8 × √3)/(√3 × √3)
x = (8√3)/3
Answer:
7056
Step-by-step explanation:
84= 80+4
So,
84 × 84= (80+4)(80+4)=
7056
Answer:
Step-by-step explanation:
From the number line, the solution to the inequality is x<4 or x>5.
We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).
The "or" represents the union of the two intervals.
Therefore the solution to the given inequality in interval notation is:
The third choice is the correct answer.
8-5=3
19-11=8
3/8=0.375
Rate of Change: 0.375
<span>To solve this problem, what we have to do is to divide
the whole equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 with the equation 2 x^2 +
x – 1. Whatever remainder we get must be the value that we have to subtract from
the main equation 4 x^4 – 2 x^3 – 6 x^2 + x – 5 for it to be exactly divisible
by 2 x^2 + x – 1.</span>
By using any method, I used long division we get a
remainder of -6.
Therefore we have to subtract -6 from the main equation
which results in:
<span>4 x^4 – 2 x^3 – 6 x^2 + x – 5 – (-6) = 4 x^4 – 2 x^3 – 6 x^2
+ x + 1</span>