Based on this graph, is the relationship between number of rows and number of chairs a proportional relationship?
1 answer:
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Answer:
B.) 15
Step-by-step explanation:
The order in which the shades are chosen is not important. For example, choosing powder then sky is the same outcome as choosing sky then powder. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
2 shades from a set of 6. So
So the correct answer is:
B.) 15
Ignoring the triangle first off, it is just a parallelogram. We can find the area with:
(see first diagram).
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
Then find the area:
Take the area of the triangle away from the area of the paralellogram:
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
Then find the area:
Take the area of the triangle away from the area of the paralellogram:
Given:
Bases of the trapezoid are 5.2 m and 14.6 m.
The height of the trapezoid is 7 m.
To find:
The area of the trapezoid.
Solution:
The area of a trapezoid is:
Where, a,b are bases and h is the height of the trapezoid.
Putting in the above formula, we get
Therefore, the area of the trapezoid is 69.3 square meters.