9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
Answer:
x = -1
Step-by-step explanation:
Answer:
+ 3x +9x +27 = 0
x(x+3)+9(x+3)=0
(x+3)(x+9)=0
x=-3, x=-9
Step-by-step explanation:
a=1 b=12 c=27
sum=12
factor=27x 1
3x9
also 3+9=12
Answer:
See below
Step-by-step explanation:
1) The distribution is skewed left because the majority of the data lies in the left tail.
2) Given what we answered in #1, the mean is going to be the closest of the three measures of central tendency, with the median behind the mean, and the mode behind the median.
3) An outlier is a piece of data that is furthest away from of a set of observed data.