Answer:
First exercise:
Second exercise:
Step-by-step explanation:
According to the Intersecting Secants Theorem the products of the segments of two secants that intersect each other outside a circle, are equal.
Knowing this, in order to solve the first exercise and the second exercise, we can write the following expressions and solve for "x":
For the first exercise, we get:
For the second exercise, we get:
Answer:
3.5
Step-by-step explanation:
If the shape is half of a circle, you will be using this formula: A = π
Your radius is half of the diameter. r = d/2 = 3/2 = 1.5
Substitute r = 1.5 into the formula.
A = π
A = (3.14)
Use your calculator to find the answer and round your answer.
3.5
Here speed of first train is slower than speed of second train. So if they catch up , the distance traveled will be same since they left the same station at different times.
But the time traveled will be different .
Let us say the two trains meet at time t ,
Distance = speed * time
Distance traveled by first train = 40 t
Since second train is leaving after three hours , so
Distance traveled by second train = 60(t-3)
As discussed earlier, distance traveled will be same, so
distributing 60 over t-3
t=9
So the second train will meet the first at 9 p.m.