Which list shows the numbers in order from greatest to least?
1 answer:
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The new width of the window should be 36.75 inches ⇒ 2nd answer
Step-by-step explanation:
The proportionally is two quantities having a constant ratio
The quantities y and x are proportional if:
= k, where k is the constant of proportionality
- y = k x
∵ Manny wants to proportionally enlarge a rectangular window
- That means the new dimensions are proportion with the
original dimensions
∴ New dimensions = k × original dimensions
- k is the constant of proportionally
∵ The original length = 36 inches
∵ The new length = 54 inches
- Substitute then in the equation above to find k
∵ 54 = k × 36
- divide both sides by 36
∴ 1.5 = k
∴ The new dimensions = 1.5 × original dimensions
∵ the original width = 24.5 inches
∴ The new width = 1.5 × 24.5 = 36.75 inches
The new width of the window should be 36.75 inches
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Answer:
Step-by-step explanation:
So here we have a 45-45-90 triangle.
This a special right triangle were the sides across from the 45 degree angles can be considered x, while the hypotenuse is two square roots of x.
Here since we have the sides across from the 45 degree angle we can conclude that
So if we wanted the hypotenuse we would just plug in this value of x like so:
Therefore the hypotenuse is 18.