The lengths of the line segments are summarized in the following list:
- DF = 3
- DE = 8 / 3
- FG = 3
- FH = 9 / 2
- GH = 3 / 2
- EH = - 11 / 6
<h3>How to calculate the length of a line segment based on point set on a number line</h3>
Herein we have a number line with five points whose locations are known. The length of each line segment is equal to the arithmetical difference of the coordinates of the rightmost point and the leftmost point:
DF = - 1 - (- 4)
DF = 3
DE = (- 1 - 1 / 3) - (- 4)
DE = 3 - 1 / 3
DE = 8 / 3
FG = 2 - (- 1)
FG = 3
FH = (3 + 1 / 2) - (- 1)
FH = 4 + 1 / 2
FH = 9 / 2
GH = (3 + 1 / 2) - 2
GH = 1 + 1 / 2
GH = 3 / 2
EH = (3 + 1 / 2) + (- 1 - 1 / 3)
EH = - 2 + (1 / 2 - 1 / 3)
EH = - 2 + 1 / 6
EH = - 11 / 6
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Answer: We know:
the triangle gardern(garden A) and the square garden(garden B) have the same perimeter.
This may sound obv, but it's important: garden A has 1 less side then garden B, which is why it can have longer sides but the same perimeter.
So side A1 + side A2 + side A3 = side B1 + side B2 + side B3 + side B4.
A1 + A2 + A3 = B1 + B2 + B3 + 15(the extra length on the triangle sides)
Since B is a square, B = 15 m by 15 m.
I don't know enough about triangle to put the dementions, but it's an equilateral triangle so the sides are 20 m each. Hope that helps! :)
CD = certificate of deposit (an investment)
Interest rate, i = 10% per annum (simple interest)
Principal, P = $2000 (present value)
Period, T = 3 months = 0.25 year
Simple interest formula
Interest earned = Pit
=2000*0.10*0.25
=$50
Balance at maturity (amount that investor gets after three months)
=$2000+$50
=$2050
The 1st, 4th, and 7th terms make an arithmetic sequence of their own. The 4th term is the average of the 1st and 7th, so ...
(1st +7th)/2 = 4th
1st + 7th = 2×4th
1st = 2×4th - 7th
The first term is ...
2*141 - 132 = 150
