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)!)
Answer:
The input value is 3/4
Step-by-step explanation:
we know that
The input value that produces the same output value for the two linear functions, is the intersection point both graphs
we have
---> equation A
---> equation B
Equate equation A and equation B

solve for x



therefore
The input value is 3/4
X = -1.8 * 2.1
x = 3.78
don't know how i can write it longer
Answer:
Yes, you are correct.
Step-by-step explanation:
The angular measure L is : 47°
<h3>What are angles?</h3>
Angles are formed when two lines meet.
Analysis:
Firstly, we calculate for m using cosine rule.
=
+
-2(510)(820) cos 20
= 260100 + 672400 -83600(0.9396)
= 146618.56
m =
= 382.9cm
using sine rule to find ∠L
382.9/sin20 = 820/sinL
sinL = 820sin20/382.9
sinL = 820(0.342)/382.9
sinL = 0.732
L = sin inverse of 0.732 = 47°
In conclusion, ∠L is 47°
Learn more about sine and cosine rule: brainly.com/question/4372174
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