The common ratio r is 6, while the third term (ar²) is 24.
Nth term in a GP is given by the formula ar^n-1, thus the third term is ar²
ar²= 24
thus, a × 36 = 24
a =24/36
The ninth term is given by ar^8
= (24/36)× 6^8
= 1119744.
Answer: 920 square feet
Step-by-step explanation: Really hope this helps
Top: 20 * 17 = 340
Side triangles: 8 * 15 / 2 = 60
2 side triangles: 60 * 2 = 120
Back rectangle: 8 * 20 = 160
Bottom rectangle: 15 * 20 = 300
All of them: 340 + 120 + 160 + 300 = 920
To solve this problem, we must substitute the value of -1 in for x in the function. This means that for every x there is in the equation, we must substitute the value -1 in for it in order to find the value of g(-1). This is modeled below:
g(x) = -5x + 13
g(-1) = -5(-1) + 13
Next, we must simplify using the order of operations. PEMDAS outlines this concept, telling us to simplify parentheses first, exponents next, then multiplication and division, and finally addition and subtraction. In this case, we will solve the multiplication and then the addition, as modeled below:
g(-1) = -5(-1) + 13
g(-1) = 5 + 13
g(-1) = 18
Therefore, your answer is 18.
Hope this helps!
Based on the measurements of the pool and the path of uniform width, the area of the width and length of the path can be found to be 28.8 meters.
<h3>How to find the width and length?</h3>
First, find the area of the pool:
= Length x Width
= 10 x 26
= 260 meters ²
The area of the path can therefore be found to be:
= Total area of pool and path combined - Area of pool
= 1,092 - 260
= 832 meters²
Seeing as the path has uniform width, that means that the width is the same and the length so the width and length of the pool is:
= √area of the path
= √832
= 28.8
In conclusion, the width and length of the path are 28.8 meters.
Find out more on combined area at brainly.com/question/12966430
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