A square has a side length of 6. A rectangle has a length of 5x + 12 in a width of 5x. Find the sum of the areas of square and rectangle. Expand this polynomial and then factor the trinomial form. A. (5x+12)(5x)
B.(25x+90)(x - 6/5)
C.(5x+12)(5x)+36
D.(5x+6)(5x+6)​

D) (5x + 6)(5x + 6)

Step-by-step explanation:

area of square = 6 x 6 = 36

area of rectangle = 5x(5x + 12) = 25x² + 60x

total together = 25x² + 60x + 36

factored:

(5x + 6)(5x + 6)

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.

is it 35

step-by-step explanation: