Answer: 1/8
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Given parameters:
Length of earring hook = 1.5cm
Length of given wire = 45cm
Dimension of the triangle = 3.2cm, 3.2cm and 2.1cm
Unknown:
Number of earrings that can be made from the wire = ?
To solve this problem, we need to calculate the total length of the earring we want to make.
Total earring length = Perimeter of earring + length of earring hook
= 3.2 + 3.2 + 2.1 + 1.5
= 10cm
Now the length of the wire is 45cm,
Number of earrings =
= 4.5 earrings
But this is not reasonable, therefore, we can only forge 4 complete earrings from the given length with 5cm of wire remaining.
The number of earrings that can be made is 4.
Answer: Choice A
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Explanation:
One shaded region is below the parabola, and the other shaded region is below the line. They both overlap outside the parabola, but under the straight line.
Since both shaded regions are below their respective boundaries, this means that we'll be using "less than" signs for each inequality. The solid boundary lines indicate "or equal to" is part of that as well.
Because of this, the answer is between A and D since both involve inequality signs that have "less than or equal to".
However, we can rule out choice D since the inequality
would have the boundary line
, and this boundary line has a positive slope. But notice how the red diagonal line slopes downward as we read from left to right. Therefore, the red line must have a negative slope. Luckily, choice A has one of the boundary lines as y = -x+3 to fit the description. So that's why choice A is the answer.