Answer:
156 [in²].
Step-by-step explanation:
1) total area consists of six parts (all the details are in the attachment):
A=2A₁+2A₂+A₃+A₄;
2) according to the formula above:
A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].
A triangle has a bottom left angle of (x + 15) degrees and a bottom right angle of (x degrees). 1 parallel and horizontal line s
its at the top point of the triangle. Another parallel and horizontal line sits at the base of the triangle. The exterior angle to the bottom right angle of the triangle is (4 x minus 20) degrees.
What is the value of x?
What is the value of x?
1 answer:
Answer:
<em>The value of x is 40°</em>
Step-by-step explanation:
The triangle described in the text of the question is shown in the image attached.
Note the angles x and 4x-20 are supplementary since they form a line. Thus:
x + 4x - 20 = 180
Simplifying:
5x - 20 = 180
Adding 20:
5x = 200
Solving:
x = 200/5 = 40
The value of x is 40°
You might be interested in
Answer:
a) Figure attached
b)
For our case we have this:
n=10
So then the correlation coefficient would be r =0.989
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
Solution to the problem
Part a
Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985
Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7
After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.
Part b
And in order to calculate the correlation coefficient we can use this formula:
For our case we have this:
n=10
So then the correlation coefficient would be r =0.989
