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1 answer:
Answer:
See below
Step-by-step explanation:
<em>The question in full is attached</em>
The pond is 2 feet = 2*12 inches = 24 inch each side
Each side is 24/3 = 8 tiles long
<u>The first border line (yellow) has:</u>
- (8+1)*4 = 36 tiles
<u>The second line (green) has:</u>
- (9 + 1)*4 = 40 tiles and so on
Each following line has 4 more tiles
a) <u>As AP sequence it looks as:</u>
- 36, 40, 44, ..
So
- the first term = 36
- common difference = 4
b) Considering the alternating colors,
<u>Yellow sequence:</u>
- 36, 44, 52, ..
- The first term = 36
- Common difference = 8
<u>Green sequence:</u>
- 40, 48, 56 ..
- The first term = 40
- Common difference = 8
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Answer:
√89 or 9.43 units is the distance between Sophia's house and library
Step-by-step explanation:
H (1 ,1) ⇒ House
L(6 , 9) ⇒ Library
Leg₁ = OH = 6 - 1 = 5 units
Leg₂ = OL = 9 - 1 = 8 units
<h3> Pythagorean theorem;</h3>Hypotenuse² = leg₁² + leg₂²
= 5² + 8²
= 25 + 64
= 89
hypotenuse = √89 units (radical form)
hypotenuse = 9.43 units
