Answer:
cos(z) = .3846153846 and angle z = 67.38°
Step-by-step explanation:
Side UV is corresponding to side YX. Side VW is corresponding to side YZ. Side UW is corresponding to side XZ.
Starting with the first corresponding pair, we are told that side UV is 36, and that side YX is 3/5 of that. So side YX is
We are next told that side VW is 39, so side YZ is
In order to find the cos of angle z, we need the adjacent side, which is side XZ. Side XZ is 3/5 of side UW. Right now we don't know the length of side UW, so we find it using Pythagorean's Theorem:
and
so
UW = 15
Now we can say that side XZ is
The cos of an angle is the side adjacent to the angle (9) over the hypotenuse of the triangle (23.4) so our ratio is:
which divides to
cos(z) = .3846153846
If you need the value of the angle, use the inverse cosine function on your calculator in degree mode to find that
angle z = 67.38°
Answer: A. - 2.215
Step-by-step explanation:
• A residual is the difference between the actual value and the predicted value in a regression model. It represents the vertical distance from the actual point to the point on the regression line.
Hence, the residual in this case = -2.215
Answer:
12.5%
Step-by-step explanation:
There are two types of spinners here and the outcome of them is independent. That means
P(odd number,C) = P(odd number) * P(C)
There are two odd numbers out of four numbers in the first spinner. The chance of odd number will be:
P(odd) = 2/(2+2)= 1/2= 50%
There are four letters and the desired outcome is C. The chance for C will be:
P(C)= 1/4= 25%
Then the chance will be:
P(odd number,C) = P(odd number) * P(C)
P(odd number,C) =50% * 25% = 12.5%
Answer:
how many cans?
Step-by-step explanation:
Answer:
It is right
Step-by-step explanation:
square all sides
we have 16, 32, 48
add the two shortest sides, which equal the third side
the triangle works with the pythagorean theorem, so of course it is right :)
