Answer:
C ≈ 11.71 cm
Step-by-step explanation:
using the ratio arc AC : circumference C = angle at centre of sector : 360°
=
, that is
=
( cross- multiply )
123 × C = 4 × 360 = 1440 ( divide both sides by 123 )
C =
≈ 11.71 cm ( to the nearest hundredth )
Price is reduced by 45%. Which means that the new price is 55% of the original.
Therefore, (55/100)*17 = $9.35 =new price
Answer:
Step-by-step explanation: how do u supposed to divide that???
1). Recall the formula for the volume of a cylinder:
Volume = (pi) x (radius of the round end)² x (length or height) .
2). Gather together the number you'll use for pi, the radius of the
cylinder's round end, and its length or height. Make sure that the
radius of the round end and the length or height are in the same units.
If they're not, then convert something so that they are.
3). Write each number into its place in the formula.
4). Perform the indicated operations. The final number is the
volume of your cylinder.
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be
and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate
by equalizing (Eq. 1) and (Eq. 2):

Then, we reduce the resulting formula by (Eq. 3):



And rest of variable are now determined:




Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.