Answer:
Cost of slate path using π: $980.18 (nearest cent)
Cost of slate path using π = 3.14: $979.68
Step-by-step explanation:
<u>Formula</u>
Area of a circle = πr² (where r is the radius)
First, calculate the area of the slate path by subtracting the area of the pond from the area of the larger circle.
Area of larger circle = π · 8² = 64π ft²
Area of pond (smaller circle) = π · 4² = 16π ft²
⇒ area of slate path = 64π - 16π = 48π ft²
If the cost of the slate is $6.50 per ft² then,
Cost of slate path using π:
⇒ 48π × $6.50 = $980.18 (nearest cent)
Cost of slate path using π = 3.14:
⇒ 48 × 3.14 × $6.50 = $979.68
8% of $650 is 52$.
Hope this is what you wanted and hope you have a great day
Answer:

Step-by-step explanation:
To find the value of y, you can create an equation where two parts of the line are equal to the whole line:

Substitute given values:

Solve for y. Simplify parentheses:

Combine like terms to simplify the equation:

Get the variable on one side of the equation and the constants on the other. Add 9 to both sides:

Subtract 9y from both sides:

Isolate the variable. Divide both sides by 10:

The value of y is 2. Insert this value into each line segment value and solve:



:Done
You can check by using:

This statement is true, so the values are correct.
-5g - 3/h-3 + 7g +9/h-3 = -5g + 7g -3/h-3 + 9/h-3 = 2g + (9 - 3)/(h-3) =
= 2g + 6/(h-3) if we want it as one fraction it would be:
2g + 6/(h-3) = [2g(h-3) + 6]/(h-3) =