Answer:
381 different types of pizza (assuming you can choose from 1 to 7 ingredients)
Step-by-step explanation:
We are going to assume that you can order your pizza with 1 to 7 ingredients.
- If you want to choose 1 ingredient out of 7 you have 7 ways to do so.
- If you want to choose 2 ingredients out of 7 you have C₇,₂= 21 ways to do so
- If you want to choose 3 ingredients out of 7 you have C₇,₃= 35 ways to do so
- If you want to choose 4 ingredients out of 7 you have C₇,₄= 35 ways to do so
- If you want to choose 5 ingredients out of 7 you have C₇,₅= 21 ways to do so
- If you want to choose 6 ingredients out of 7 you have C₇,₆= 7 ways to do so
- If you want to choose 7 ingredients out of 7 you have C₇,₇= 1 ways to do so
So, in total you have 7 + 21 + 35 + 35 + 21 +7 + 1 = 127 ways of selecting ingredients.
But then you have 3 different options to order cheese, so you can combine each one of these 127 ways of selecting ingredients with a single, double or triple cheese in the crust.
Therefore you have 127 x 3 = 381 ways of combining your ingredients with the cheese crust.
Therefore, there are 381 different types of pizza.
I believe the answer is <span>$30 a week</span>
First symmetrically cut the pentagon to get 5 pieces. (So that you will get the idea that this polygon is divided into 5 triangles)
Then find the area of one of the triangles:
Area of Triangle = 
A =
× 4 × 10
A = 20 m²
To find the area of the whole pentagon shape:
A = 20 × 5 = 100 m²
<em>Hope it helps!</em>
Answer:
If a line is perpendicular to another line, that means that the slope is completely opposite that of the original line. The first thing that we do to the slope is we negate the number which means that if we have a slope of
our slope because
in this step. In our case our slope is
so in this step it becomes
.
Moving onto the second part which is to get the reciprocal of the number which means that if we have
then we would switch it to
. In our case our number is
so we would make that into a fraction like this
.
In conclusion, our final slope of the perpendicular line is
.
<u><em>Hope this helps! Let me know if you have any questions</em></u>