Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
Answer:
Time = 133.3 secs
Step-by-step explanation:
<u><em>Speed = Distance / Time</em></u>
<em>Rearranging the formula</em>
Time = Distance / Speed
Where D = 200 m , S = 1.5 m/s
Time = 200 / 1.5
Time = 133.3 secs
Answer:
Step-by-step explanation:
Probability is found by dividing the number of favorable outcomes by the total number of outcomes.
For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.
The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).
This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>
Answer:
21
Step-by-step explanation:
It might be 21/30 , hope it helps though :)
The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2. 
So the answer is b(2a+b)
