How many ways can patricia choose 3 pizza toppings from a menu of 6 toppings if each topping can only be chosen once?

answer:

8 ⋅ 7 ⋅ 6 ⋅ 5 = 1680

step-by-step explanation:

since there are four toppings on the pizza and eight possible toppings to choose from we can determine the varieties available by multiplying the available options.

there are 8 possible toppings for the 1st choice.

since we have chosen one topping already

there are 7 possible toppings for the 2nd choice

there are 6 possible toppings for the 3rd choice

and

there are 5 possible toppings for the 4th choice

step-by-step explanation:

so first find out how much each is worth.

quarter= 25 cents

dime= 10 cents

pennies= 1 cent

then multiply each by how much each is worth.

200                     150                   300

x                         x                     x   1

  25                       10              

                                  300

1000                     1500

+                          

4000                                      

5000                                  

then count 2 from the back and add a period.

$50.00

$15.00

$3.00

and then add them

  $50.00

+

  $15.00

+

    $3.00

$68.00

so sunghee has $68.00

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isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough