Answer:
Step-by-step explanation:
Area of a circle with radius 
: 
Circumference of a sector with radius : 
Area of sector with angle 
: 
.
Arc length of sector with angle : 
Using these equations, we get the following information:
Area of circle: 
Circumference of a circle: 
Area of sector: 
Arc length of sector: 
Answer:
Commission earned = $459.6
Step-by-step explanation:
40% of 1149 = 0.4 x 1149 = $459.6
Hello!
The recursive rule for an arithmetic sequence: 
.
The explicit rule for an arithmetic sequence: 
.
is the value you are trying to find, or simply the answer. :)
is the common difference of the sequence.
is the first term of the sequence.
Given, 
and 
...
The common difference is -6, and the first term is 8.
Plug these values into the explicit rule for an arithmetic sequence, you get:
.
Therefore, the answer is A, 
.
If you wondered why, is equal to , the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes and equal to each other.
For question number ten, the first polynomial is equivalent to 8x^8, the second is 6x^8, the third is 8x^8, and the fourth is 8x^8. So, you should circle the second second term.
For question number 11, the first term is 3^12, the second term is 3^20, the third term is 3^12, and the fourth term is 3^12. So you should circle the second term.
For question number 12, the first term is 49, the second term is 49, and the third term is -49, and the fourth term is -49. So, you should circle the first two or last two.
We can sum two fractions if they have the same denominator, so we have to rewrite both fractions so that they'll have the same denominator.
We can generate equivalent fractions by multiplying both numerator and denominator by the same number.
So, we have
Similarly, we have
Now we can sum the fractions:
