Find the value of x³ + y³ + 3x²y when x = 2 and y = 2

x³ + y³ + 3x²y

= (2)³ +(2)³ + 3 × (2)² ×2

= 8 +8 + 6× 4

= 16 + 24

= 40

40Step-by-step explanation: Put the value of X and y in the given equation (2)*3+(2)*3+3(2)*2(2) = 8+8+24 = 40

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.

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