If I read the question correctly, the information about the 80x80 fencing and the grass region are all irrelevant information.
In order to find the area of the side walk we are going to use the formula A=pi(r^2) where r = the radius. The diameter of the pool is 60 feet and the the sidewalk is 5 feet bigger all around meaning we had 5 feet to both sides of this 60 feet giving you an overall diameter of 70 feet (or 60 + 5*2). To find the radius take half of the diameter. 70/2 = 35.
Now we plug in 35 to the equation. A = Pi(35^2) = 1225pi. Leave your answer like this as we are not finished and will need to round at the end for an accurate answer. This is NOT the end, that number is the area of the sidewalk AND the pool.
The sidewalk is not a full circle, just a border so we now have to find the area of the actual pool and subtract it from this 1225pi for the sidewalk's area. Same formula, Area = pi(r^2). The diameter of the pool is 60 meaning the radius is 30 (or 60/2). Plug into the equation, pi(30^2) = 900pi.
Now do 1225pi - 900pi to get 325pi. Break out your calculator and hit the approximation button. 325pi is approximately 1021.018 if rounded to 3 decimal places.
The area of the 5-foot wide sidewalk encircling the pool is approximately 1021.018 square feet.
9514 1404 393
Answer:
x = 10; WX = 5; HJ = 10
Step-by-step explanation:
The hash marks indicate that points W and X are midpoints of their respective segments. That makes WX a midline of the triangle. The midline is always half the length of the base (HJ). We can use this fact to write an equation relating the lengths.
HJ = 2·WX
x = 2(x -5) . . . .substitute the given expressions
x = 2x -10 . . . . eliminate parentheses
10 = x . . . . . . . add 10-x to both sides
This value of x tells you that ...
HJ = x = 10
WX = x -5 = 5
25% of 60 is 15$ or just 15
Answer:
- 6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 2, 6 ] , then
f(b) = f(6) = - 6² + 2(6) + 2 = - 36 + 12 + 2 = - 22
f(a) = f(2) = - 2² + 2(2) + 2 = - 4 + 4 + 2 = 2 , then
average rate of change = 
= 
= - 6
9514 1404 393
Answer:
positive
Step-by-step explanation:
The exponent 12 tells you how many times (-1 3/4) is a factor in the product. The number 12 is even, so there will be an even number of minus signs in the product. That results in a positive product.
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The value is ...
825.005006849765777587809625
