Answer:
x = 39.1
Step-by-step explanation:
mean = average off all the numbers =
sum of the numbers / amount of numbers.
35 = sum of the #'s / # of #'s
35 = 100.9 + x / 4
35 × 4 = 100.9 + x / 4 × 4
140 = 100.9 + x
140 – 100.9 = 100.9 + x – 100.9
39.1 = x
x = 39.1
Answer:
x = 19
the angles individually equal 39
Step-by-step explanation:
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:
The answer is social value orientation.
Explanation:
Social value orientation is the preference or choice of a person about distributing and allocating resources such as money between himself and another person. It refers to the concern a person has for others and how much weight a person assigns to other people's well being in relation to his own . Social value orientation concept is studied in various scientific disciplines. Here the Dean's social value orientation studies how much he spends for himself and how much money he uses for the department's improvement from the awarded grant.
