Step-by-step explanation:
to solve you just add the length of each line segment. In this problem 1.7+3.2=4.9
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
(x - 8)² = 144
Take square root of both sides
(x - 8) = √144
x - 8 = 12
x = 12 + 8
x = 20
Original lawn is = 20 feet * 20 feet square
The given condition is an arithmetic sequence with the first term (a1) is 1 penny and the common difference (d) is 1 penny. A year that is not a leap year has 365 days (n). The arithmetic series (S) is calculated through formula,
S = (n/2) (2a1 + (n - 1) x d)
Substituting the known values,
S = (365/2) (2 x 1 + (365 - 1) x 1)
S = 66795 pennies
A dollar is 100 pennies. Therefore, at the end of the year, the total savings is $667.95.
Answer:
Decrease by 20%.
Step-by-step explanation:
We have to find the percent of increase or decrease from n to .
Now,
So there is a decrease fro n to .
Now, the percentage of decrease will be given by
=
=
= 20% (Answer)