Cupcakes Promotion All cupcakes at $2 each ! Buy 8 and get 1 free!

How many cupcakes will Fatimah get if she paid $80 during the promotion?

45

Step-by-step explanation:

Hey there! I'm happy to help!

We see that the cupcakes are $2, but for every 8 you buy you get 1 free.

So, if we buy 8 cupcakes, we will be paying $16, but we will actually be receiving 9 donuts, so that means that for every $16 we pay, we get 9 donuts.

Let's see how many times $16 goes into $80.

80/16=5

So, this means that our $16 that gives us 9 donuts was done 5 times, which totals up to 80 dollars. Let's multiply our donuts now.

9*5=45

So, Fatimah will get 45 donuts during the promotion.

Have a wonderful day and keep on learning! :D

See Below.

Step-by-step explanation:

We want to show that the Law of Cosines simplifies to the Pythagorean Theorem when the contained angle between the two known sides is 90°.

The Law of Cosines is given by:

Where a and b are the two known sides, and C is the angle between them.

If C is 90° then we will have:

Recall that the cos(90°)=0. Hence:

Simplify:

So, we acquire the Pythagorean Theorem as desired.