Part A. The formula for finding the area of a parallelogram is A=bh where A is the area, b is the base and h is height.
A=bh where b=8 feet ,h=3/4 foot and A=?
A=8*3/4
A=6 feet The area of the parallelogram is 6 feet square
Part B.You can decompose a parallelogram into two triangles by drawing a diagonal from one end to the another.The formula for finding the area of each triangle is A= 1/2bh where A is area b is base and h is height.Therefore:
A=1/2bh where b=8 h is 3/4 and A=?
A=1/2*8*3/4
A=3 feet square. Therefore the area of each triangle is 3 feet square.
Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)
Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875
The answer would be (8/11,0) as the x-intercept
Answer:
D.
Step-by-step explanation:
y = (x - 5)^2 + 16
= x^2 - 5x - 5x + 25 + 16
= x^2 - 10x + 41
That corresponds with answer choice D.
Hope this helps!
