How should the decimal point in 38.57 be moved to determine the product of 38.57 × 10,000?

The decimal point should be moved to the right four times

Step-by-step explanation:

For quick multiplication with 10, 100s or 1000s, the decimal point in the original number is moved to the right the same number of times as the number of Zeros in the multiplying factor.

In this example, to calculate 38.57 × 10,000, the multiplying factor is 10,000 with 4 zeroes, hence the decimal point is moved to the right 4 times as shown;

original decimal 38.57

1st move: 385.7

2nd move: 3857.0 (Note that for every move beyond the last digit in the number, a zero is used to show every further point moved)

3rd move: 38570.0

4th move: 385700.0

hence 38.57 × 10,000 = 385700.0 or simply 385700.

Note also that for divisions, the same rule holds but instead of moving the decimal point to the right, it is moved to the left.

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.

15.36 per mile

but forgot to round

i am pretty sure