The line of symmetry is x = 8, and it means that it takes 8 seconds to reach the maximum height and 8 more seconds to reach the ground.
Answer:
B
Step-by-step explanation:
Use formula given above
Answer:
So the idea is that we want to find the total number of ways that we can pick 7 diamonds (real or fake) from the 12 diamonds.
So as you said, 12 choose 7 = 792
Now we need the total number of ways that we can satisfy that of the 7 we picked, exactly three are real, but this also means that four are fake.
So to choose 3 real from 5 is 5 choose 3 = 10
And to choose 4 fake from 7 is 7 choose 4 = 35
3x10/792= 350/792= 175/396
Those two quantities cannot be added.
In order to add or subtract quantities, they don't necessarily both need to
have the same units, but both must have the same physical dimensions
so that one unit can be converted to be the same as the other unit.
"Physical dimensions" are things like mass, length, area, volume, time,
force, speed, etc.
In this problem, one quantity has the unit 'kg'so its physical dimension is <em><u>mass</u></em>.
The other quantity has the unit 'km' so its physical dimension is <em><u>length</u></em>. Obviously
these physical dimensions are different, so there's no way that either unit can be
converted to match the other one, and the quantities can't be added.
Answer:
Option B.
Step-by-step explanation:
It is given that the sides of an equilateral triangle are 8 units long.
Draw an altitude of the triangle.
Altitude of an equilateral triangle is perpendicular bisector.
Let x be the length of the altitude of the triangle.
According to the Pythagoras theorem

Using Pythagoras theorem we get




Taking square root on both sides.


The length of the altitude of the triangle is 4√3 units.
Therefore, the correct option is B.