Answer:
Step-by-step explanation:
<u>According to intersecting chords theorem:</u>
- 21(2x - 6) = 30(x + 1)
- 42x - 126 = 30x + 30
- 42x - 30x = 126 + 30
- 12x = 156
- x = 156/12
- x = 13
<u>Find the value of YZ:</u>
Answer:
The Box 1 and Box 2 are the same mass.
Explanation:
It caused both to change speed because they have both the same mass.
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
___
If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
__
There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
_____
nCk = n!/(k!(n-k)!)
