Find the length of the median of a trapezoid if the length
1 answer:
Answer:
20 cm
Step-by-step explanation:
We are given a trapezoid, where the length of shorter base or on of the parllel line is 16 cm and the length of other parallel side is 24 cm.
Let the two parallel sides be x and y that is x = 16 cm and y = 24 cm.
A median of a trapezoid is a line segment that divides the non parallel sides of a trapezoid equally or a line segment that passes through the mid points of non-parallel sides of a trapezoid.
The length of median of a trapezoid = =
= 20 cm.
Thus, the length of median of trapezoid is 20 cm.
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Answer:
20 litter
Step-by-step explanation:
Answer:
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is . Rest are not in accordance with the definition of independent events.
True statements:
The domain of h(x) is the set of all real numbers.
The range of h(x) is the set of all real numbers
Step-by-step explanation:
The function given in this problem is
Now let's analyze the statements given:
- The domain of h(x) is the set of all real numbers. --> TRUE. The domain of a function is the set of values allowed for x. Here there is no restriction for the value of x, since the argument of an odd root can have any value (either positive or negative), so the domain of h(x) is the set of all real numbers.
- The range of h(x) is the set of all real numbers. --> TRUE. The range of a function is the set of values that the y can take. In this case, y can take any value: in fact, as , then
, and as
, then
, and since there are no points of discontinuity in the function, this means that it can take any value of y.
For all points (x, h(x)), h(x) exists if and only if x – 4 > 0 --> FALSE. As we stated in part 1), the argument of a cubic root can be either positive or negative, so the function is defined also for x - 4 < 0.
The graph of h(x) is a translation of f(x) down 4 units. --> FALSE. The form of f(x) is not given so we can't evaluate this statement.
The graph of h(x) intercepts the x-axis at (4, 0). --> FALSE. In fact, when , the value of the function is
which is different from 4.
Learn more about domain and range:
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