How do you sketch and label a trapezoid that has an area of 100 cm2
2 answers:
Answer and step-by-step explanation:
The formula for the area of a trapezoid is
Substituting 100 in for A,
Cancel the 1/2 by multiplying both sides by 2:
We want the sum of the bases multiplied by the height to be 200.
If we let the height be 10, this would make the sum of the bases 200/10 = 20.
Any two numbers that sum to 20 will work; we can use 7 for the smaller base and 13 for the larger one.
To find the dimensions if a trapezoid with an area of 100 square centimeters, you will use your understanding of solving equations and the trapezoid formula to find the missing parts.
Please see the attached picture for the sketch and work in finding the missing bases and height of the trapezoid.
Ultimately, you will need 2 factors that give you 200 square centimeters.
Please see the attached picture for the sketch and work in finding the missing bases and height of the trapezoid.
Ultimately, you will need 2 factors that give you 200 square centimeters.
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Answer:
a) There is a 16.6% probability that doubles were rolled.
b) Given that the roll resulted in a sum of 6 or less, there is a 20% probability that doubles were rolled.
c) There is a 30.55% probability that at least one die is a 1.
Step-by-step explanation:
The probability formula is the number of desired outcomes divided by the number of total outcomes.
(a) Find the probability that doubles were rolled. (i.e. the two outcomes are equal)
There are six desired outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
There are 36 total outcomes. So:
There is a 16.6% probability that doubles were rolled.
(b) Given that the roll resulted in a sum of 6 or less, find the conditional probability that doubles were rolled.
The following rolls result in a sum of 5 or less:
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
So, there are 15 total outcomes.
3 of them are doubled: (1,1), (2,2), (3,3). So
Given that the roll resulted in a sum of 6 or less, there is a 20% probability that doubles were rolled.
(c) Find the probability that at least one die is a 1
The following outcomes have at least one die that is 1:
(1,1), (1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(3,1),(4,1),(5,1),(6,1)
So, there are 11 desired outcomes out of 36.
There is a 30.55% probability that at least one die is a 1.