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QveST [7]
2 years ago
12

It took Mike 1/3 hour to mow 1/4 of a yard. How long will it take him to finish the entire yard?

Mathematics
1 answer:
Kazeer [188]2 years ago
3 0

Answer:

4/3 of an hour, or 1.33 hours

Step-by-step explanation:

It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because \frac{1}{3} *3=1 hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.

\frac{1}{3} *\frac{4}{4} =4/3 hours

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a regular polygon has a perimeter of 36 inches. each side is exactly 6 inches long. which figure does this discribe?
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4 0
2 years ago
Geometry<br><br>Need help finding A and B
MariettaO [177]

Answer:

  a = 8

  b = 4√5

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  short side/long side = a/16 = 4/a

  a² = 64 . . . . . . multiply by 16a

  a = 8 . . . . . . take the square root

__

  hypotenuse/short side = b/4 = 20/b

  b² = 80 . . . . . . . multiply by 4b

  b = 4√5 . . . . . take the square root

_____

<em>Additional comment</em>

These relations for the right triangle can be summarized by the rule "the length of a segment that touches the hypotenuse is the geometric mean of the two hypotenuse segments it touches." In the case of b, that means ...

  b = √((4)(4+16)) = 4√5

The same sort of relation applies to the unmarked vertical segment on the left:

  c = √((16)(16+4)) = 8√5

And, we saw ...

  a = √((4)(16)) = 8

Of course, if this rule is to make sense, you need to know that the geometric mean of two numbers is the square root of their product. (In general, the geometric mean of n numbers is the n-th root of their product.)

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