9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
Answer:
1. 458 - 247 = 211
2. 58.92 - 43.87 = 15.05
3. 51/8 - 15/8 = 4.5
Here you go ! Hope this helps !
Answer:
take your pick. Each has its own reason.
Step-by-step explanation:
As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.
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I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.
Your answer would be the last option: What will happen to the individual sections cannot be determined, but the size of the two sections together increases.
This is because angles on a straight line add to 180°, so if angle C decreases, angles A and B must collectively increase to make up for the loss. For example, if C = 20° and it decreases to 15°, A + B + C would equal 175° and so A and B would need to increase to make it 180°.
The reason we can't determine what happens to the individual sections is that they could either both increase, or one could increase and one could decrease, as long as they collectively make up for the decreased angle.
I hope this helps! Let me know if you have any questions :)
15% = 0.15
0.15 • 50 = 7.5
50 + 7.5 = 57.5
