James determined that these two expressions were equivalent expressions using the values of x=4 and x=6. which
statements are true? check all that !

7x+4 and 3x+5+4x-1

when x = 2, both expressions have a value of 18.

the expressions are only equivalent for x - 4 and x-6.

the expressions are only equivalent when evaluated with
even values.

the expressions have equivalent values for any value of x.

the expressions should have been evaluated with one odd value and one even value.

when x=0, the first expression has a value of 4 and the second expression has a value of 5.

the expressions have equivalent values if x=8.

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.

7

step-by-step explanation:

for this case we have that by definition, the surface area of a cylinder is given by:

where:

r: it is the radius of the cylinder

h: it is the height of the cylinder

we can also rewrite it as:

where:

la: it's the lateral area

ba: area of the base

option a