Answer:
Step-by-step explanation:
Since they are consecutive angles
You would subtract 180 from 135 to get 45 Measure 2 is 45
This doesn't have enough information. it spend on ages, how many children per generation, if direct bloodlines only or adoption count, half relatives, etc.
9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...
Answer:
aₙ = 4(5)ⁿ⁻¹
Explanation:
To identify a geometric series: second term = √(first term * third term)
Here given:
check ============
20 = √(100*4)
20 = √400
20 = 20 Hence its a geometric term.
Find common difference (r):
20/4 = <u>5</u> or 100/20 = <u>5</u>
Geometric term formula:
aₙ = a₁(r)ⁿ⁻¹ [where a1 is the 1st term, r is common difference]
<u>insert values found</u>
aₙ = 4(5)ⁿ⁻¹ ......this is the nth term.
Find the greatest common factor. In this case it is 3. Divide each group by 3.
15÷3=5 quarters
30÷3=10 dimes
48÷3=16 nickels
Next count them by the coin's value:
5 × 0.25 = $1.25
10 × 0.10 = $1
16 × 0.05 = $0.80
Add them up:
= $3.05 in each group and there are three groups.
So, the greatest number of groups that he can make is 3; there will be 5 quarters, 10 dimes, and 16 nickels in each group, which is worth $3.05 in each group.