Answer:
20 meters
Step-by-step explanation:
The shadow of the building will look like a right triangle. In this problem, the hypotenuse of the triangle is 25 meters, and one of the sides is 15 meters. What we are trying to find is the length of the other side.
We can do this by using pythagoreans theorem.

So, the last side (or the height of the building) is 20 meters.
Answer:
y- intercept --> Location on graph where input is zero
f(x) < 0 --> Intervals of the domain where the graph is below the x-axis
x- intercept --> Location on graph where output is zero
f(x) > 0 --> Intervals of the domain where the graph is above the x-axis
Step-by-step explanation:
Y-intercept: The y-intercept is equivalent to the point where x= 0. 'x' is the input variable in an equation, therefore the y-intercept is where the input, or x, is equal to 0.
f(x) <0: Notice the 'lesser than' sign. This means that the value of f(x), or 'y', is less than 0. This means that this area consists of intervals of the domain below the x-axis.
X-intercept: The x-intercept is the location of the graph where y= 0, or the output is equal to 0.
f(x) >0: In this, there is a 'greater than' sign. This means that f(x), or 'y', is greater than 0. Therefore, this consists of intervals of the domain above the x-axis.
Answer:
(a) P (U and V) = 0.
(b) P (U|V) = 0.
(c) P (U or V) = 0.83.
Step-by-step explanation:
Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,

<u>Given</u>:
Events U and V are mutually exclusive.
P (U) = 0.27 and P (V) = 0.56
(a)
As events U and V are mutually exclusive, the probability of their intersection will be 0.
That is,

Thus, the value of P (U and V) is 0.
(b)
The conditional probability of event B given A is:

Compute the value of P (U|V) as follows:

Thus, the value of P (U|V) is 0.
(c)
The probability of the union of two events, say A and B, is

Compute the value of P (U or V) as follows:

Thus, the value of P (U or V) is 0.83.
Answer:
AFC
Step-by-step explanation:
because an acute triangle is a triangle less than 90 degrees. And the triangle AFC was less than
His rate is 4.5 miles per hour. It would take him 4 hours to hike 18 miles. He would have traveled 31.5 miles in 7 hours.