Answer:
what are the available options then I can answer
Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
<h3>Mark me a brainlist</h3>
Answer: V = B · h
<u>Step-by-step explanation:</u>
Volume (V) = Area of the base (B) × height (h)
The Area of the base (B) depends on the shape of the base. For example:
- Triangular prism = Area of a Triangle × height
- Rectangular prism = Area of a rectangle × height
- Pentagonal prism = Area of a pentagon × height
Answer:
The answer is 5th angle = 
Step-by-step explanation:
Given that pizza is divided into six unequal slices.
Largest slice has an angle of 
.
He eats the pizza from largest to smallest.
Let the difference in angles in each slice = 
1st angle =
2nd angle = 90-d
3rd angle = 90-d-d = 90 - 2d
4th angle = 90-2d-d = 90 - 3d
5th angle = 90-3d-d = 90 - 4d
6th angle = 90-4d -d = 90 - 5d
We know that the sum of all the angles will be equal to 
(The sum of all the angles subtended at the center).
i.e.
So, the angles will be:
1st angle =
2nd angle = 90- 12 = 78
3rd angle = 78-12 = 66
4th angle = 66-12 = 54
5th angle = 54-12 = 42
6th angle = 42 -12 = 30
So, the answer is 5th angle =
Answer:
(x−5)(x+3)
Step-by-step explanation:
To factorise, we firstly need two brackets, each containing an x.
(x)(x)
This creates the x2 term.
Now we need to get the rest of the terms. To do this, we need two factors of −15 which will add/subtract to give us +2
The two factors that do this are −3 and 5, as −3+5=2
∴(x−3)(x+5)
You can check by expanding it out.
