An equivalent fractions would be 18/40.
Use pythagoras to find the 3rd length of the triangle:
Square root of 8.5^2-7^2= 4.82 yd
Find the area of the trapezium:
((2+(2+4.82))x7)/2
= 30.87 yd^2
To find the area of the parallelogram you just take away the area of the triangle from the area of the trapezium:
Area of triangle is (4.82x7)/2= 16.87yd^2
Answer: <u><em>35,000</em></u>
Step-by-step explanation:
Answer:
a) 
b) 
Step-by-step explanation:
Let's define the following events first:
F: The event that a course has a final exam.
R: The event that a course requires a research paper
From the info provided we have that:
P(F and R) =0.32
So then we can create a Venn diagram as we can see on the figure attached.
a. Find the probability that a course has a final exam or a research project.
For this case we can find the probability like this:

b. Find the probability that a course has NEITHER of these two requirements.
For this case we can use the complement rule and we can find the probability like this:

And that's the same value obtained with the diagram.