What is the values of 1/3x +7x, when x=5

36.7 or 110/3

Step-by-step explanation:

The question ask you to find the sum of the value of 1/3x and 7x when the value of x = 5.

Find  1/3x + 7x when x= 5

This means 5 will replace x in the equation 1/3x + 7x.

Therefore, in the equation below x will be replaced by 5

1/3x + 7x = ?  

1/3x + 7x = ? when x = 5

1/3 × 5 + 7 × 5 = ?

5/3 + 35 = (5 + 105) / 3

110/3 = 36.666 ≈ 36. 7

36.7

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.