4 Elijah is given a birthday cake. He is rather selfish and does not share this cake with anyone
else. On the first day he eats 2/5 of the cake and on the second day he eats 3/7 of the cake. What
fraction of the cake is now left?

6/35

Step-by-step explanation:

so he ate 2/5 first day, and the 3/7 the other day, so we need to add the 3/7 to 2/5.

they had to have the same number as their denominator.

so we gonna multiply (5) (3) and (5) (7) and also (7) (2) and (7) (5)

then we have 14/35 and 15/35 so we can add them together to find out 29/35

then we minus it from 35/35 to find out how much is left

35/35 - 29/35 is 6/35 , which is our answer

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.