Answer:
Step-by-step explanation:
Step 1: Identity the radius.
Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,
OC=OE.
Step 2: Consider the rectangle.
All diagonals in a rectangle are congruent so this means
DB= OC ( OC is also a diagonal).
Thus, OC= 10 units.
Step 3: Analyze
So this means OE is also 10 units as well.
Since we know the length of the radius, Use the area of circle,
So the area of a circle is 100 pi.
Answer:
The explicit formula that can be used is 
The account's balance at the beginning of year 3 is 
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Answer:
Question 6: -8
Question 7: C
Step-by-step explanation:
Question 6:
The reason question 6 is -8 is because of the distance in between each number, e.g -7 and -15. This is not to be confused with + 8 each time that would make the sequence 9, 18, 27.
Question 7:
The way we solve this question is using the nth term rule, whatever is before the n is the times tables we follow. So if it is 2n the sequence would be 2, 4, 6, 8 etc. However when we add something like the -2 we do the 2 times tables but this time we -2 for each one. Example: 2 - 2 = 0 so the first number of the sequence is 0, Example 2: 4-2 = 2 so the second number of the sequence is 2.
A.) if 4oz is drank every 4 hours, and there are 24 hours in a day, then there are 6 times during each day that the baby drinks formula. Knowing this, multiply 6 and 4 to get 24oz of formula each day
b.) if 1 can = 91fl oz, and, let's say 30 days in a month, then 24 multiplied by 30 will gives us how much is drank each month which is equal to 720fl oz. Divide 720 by 91 to get approximately 8 cans for one month.
c.) Go back to sub-problem a to find that the new amount per day is now equal to 16oz (6oz/4hrs ... 24/6 = 4 ... 4*4 = 16). Now take 30 and multiply it by 16 to get 480fl oz. Divide 480 by 91 to get approximately 5 cans for one month.
Answer:
b = 6√15
Step-by-step explanation:
6² + b² = 24²
36 + b² = 576
b² = 540
b = √540
b = √9 · √60
b = 3 · √60
b = 3 · √4 · √15
b = 6 √15
