What is the quotient of –11.25 divided by –0.375? a)–30 b)–3 c)3 d)30

D) 30

Step-by-step explanation:

We are given that

-11.25 divided by -0.375

We have to find the quotient .

Fraction:

Numerator.It is upper part of fraction

Denominator : It is bottom part of fraction.

Numerator=-11.25

Numerator can be written as

Because decimal after two digits from right side when we remove decimal we write 100 in denominator.

Denominator=-0.375

We write 1000 in denominator of denominator because decimal after 3 digits from right side.

Now,

When we write denominator of fraction in multiply then the denominator will be reciprocal.

Hence, the quotient=30

Option D is true.

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.

x = 12

y = 15

step-by-step explanation: