Answer:
27a
Step-by-step explanation:
-5(a-6)+2a
-5a+30+2a
-3a+30
27a
The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>
<em><u>Recall:</u></em>
Volume of a spherical shape = 
Volume of a rectangular prism = 
<em><u>Given:</u></em>
Diameter of basketball = 9.5 in.
Radius of the ball = 1/2 of 9.5 = 4.75 in.
Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)
Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft
- First, find the volume of the basketball:
Volume of ball = 
Volume of basketball = 
- Convert to


<em>Therefore,</em>
- Volume of basketball =

- Find the volume of the office (rectangular prism):
Volume of the office = 
- Number of basket ball that will fill the office = Volume of office / volume of basketball
Number of basket ball that will fill the office = 
Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.
Learn more here:
brainly.com/question/16098833
A geometric sequence is one that involves addition or subtraction. One example would be "In an auditorium, the 1st row has 25 seats. The 2nd has 30. The 3rd has 35. How many does the 4th have? Take the formula, x + 5. All you do is simply add 5.
An arithmetic sequence is one that involves multiplication or division. For example, "Jon receives 5 dollars each week. If he waits for 5 months, how much money will he have? Honestly, all you have to do is think about the formula. x * 5. x would be the number of weeks.
I know my answer is not as good as the verified one, but it is simpler and easier to understand. I apologize if it isn't good enough.
Answer:
<em>(c). </em>
<em> </em>
Step-by-step explanation:
The <u><em>cosine</em></u> is the <em>"x" coordinate</em> of the terminal point on the unit circle.
Thus the answer is <em>(c). </em>