Lena collects antique spoons. The line plot shows the length of the spoons in her collection. If she lines up all of her spoons
in order of size, what is the size of the middle spoon? Explain.
1 answer:
Answer:
See the figure attached with the complete question, including the line plot.
- <u>The size of the middle spoon is 4/4 feet = 1 feet.</u>
Explanation:
Each mark on the line plot represents a spoon and the position on the line indicates its length,
- There are two marks over the the lenght 1/4, thus there are two spoons with that length,
- One spoon with length 2/4,
- One spoon with length 3/4,
- Four spoons with length 4/4, and
- One spoon with length 5/4
Those are in total 9 spoons. Thus, if she lines up all of her spoons in order size, the fifth spoon is the middle spoon, and its size is 4/4 feet.
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a) .
b) .
c)
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
For item a, we have to find the equivalent angle on the 2nd quadrant, where the sine is also positive.
Hence:
Hence .
For item b, if two angles are complementary, the sine of one is the cosine of the other.
Complementary angles add to 90º = 0.5pi, hence:
The equivalent angle on the second quadrant is:
Hence the solutions are:
For item c, the angles are also complementary, hence:
The tangent is also positive on the third quadrant, hence the equivalent angle is:
Hence the solutions are:
More can be learned about equivalent angles at brainly.com/question/28163477
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