Which triangles (if any) can be shown to be congruent using a rotation?
2 answers:
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Answer:
Area of trapezoidal base = 4 square units.
Step-by-step explanation:
We know that volume of a prism is known as :
where <em>B</em> is Area of Base
and <em>h</em> is Height of prism
NOTE: Formula for Volume of a prism can be generalized as above irrespective of the type of base it has (base can be of type triangle, rectangle, square or trapezoidal etc).
Here, we are given that Base is trapezoidal.
<em>h</em> is 6 units and
Volume <em>V</em> is 24 cubic units.
And we have to find out the value of B.
Putting the above values in above formula:
Hence, area of trapezoidal base = 4 square units.
Answer:
The probability that exactly 97 of them finished the marathon is 0.221.
Step-by-step explanation:
We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.
100 runners are chosen at random.
The above situation can be represented through the binomial distribution;
where, n = number of trials(or samples) taken = 100 runners
r = number of success = exactly 97
p = probability of success which in our question is the probability
that runners finished the marathon, i.e; p = 0.974
So, X ~ Binom(n = 100, p = 0.974)
Now, the probability that exactly 97 of them finished the marathon is given by = P(X = 97)
P(X = 97) =
=
= 0.221
Hence, the required probability is 0.221.
Answer:
D
Step-by-step explanation:
So we have the expression:
Combine like terms:
Add or subtract:
Simplify:
Our answer is D