<span>The question is about the side length of a copy of the dartboard. We know that the original dartboard has sides that measure 9 inches. We also have the scale factor 0.25. The ratio of the corresponding sides is called the scale factor. If we have the scale factor 0.25 it means that for 1 unit of the original figure there are 0.25 units of length of a copy. Therefore: x = 9 * 0.25; x = 2.25 in. Answer: The side length of the dartboard Boyd drew is 2.25 inches.</span>
It is 8x-5 you replace the variable y with 3 in the expression
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Answer:
144
Step-by-step explanation:
The surface area of a sphere that has a volume of 288π cu in is 144 pi.
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
