Which expression has the same value as 59.2 subtract 84.7a. 84.7 subtract 59.2b. -84.7 + (-59.2)c. 59.2 subtract (-84.7)d. 59.2 + (-84.7)

Let's first convert the word problem into a number expression as displayed below:

= 59.2 - 84.7

Now let's see what expressions each of the options are equivalent to.

Option A -

= 84.7 - 59.2

This is incorrect as the signs ( positive or negative ) are the opposite of the original expression. Therefore, Option A is incorrect.

Option B -

= - 84.7 + - 59.2

= - 84.7 - 59.2

This is incorrect as 59.2 isn't meant to be a negative number in the original expression. Therefore, Option B is incorrect.

Option C -

= 59.2 - - 84.7

= 59.2 + 84.7

This is incorrect as 84.7 is meant to be a negative number in the original expression. Therefore, Option C is incorrect.

Option D -

= 59.2 + - 84.7

= 59.2 - 84.7

This is correct as it matches the original expression. Therefore, Option D is correct.

ANSWER:

Therefore, the answer is:

D. 59.2 + ( - 84.7 )

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Answer: 10pi

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.