Answer:
D
Step-by-step explanation:
So the associative and commutative properties basically say That you can change the orders of the numbers and the answer won't change (for multiplication and addition).
Your answer would be D because they added the numbers with a decimal place together, it makes it easier to look at, and add in your head.
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Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
There is 25 dimes in the piggy bank-
I really hope this helped- i’m trying to do the best i can!