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frosja888 [35]
3 years ago
6

See the diagram below, which is not drawn to scale:

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

700.4 cm

Step-by-step explanation:

Use a proportion.

Let x be the vertical distance for the 700 cm pipe.

1 cm is to 30 cm as x cm is to 700 cm

1/30 = x/700

30x = 1 * 700

30x = 700

3x = 70

x = 70/3

Now we need l. We have a right triangle with legs measuring 70/3 cm and 700 cm, and we are looking for the hypotenuse l.

a^2 + b^2 = c^2

(70/3)^2 + 700^2 = c^2

c^2 = 4900/9 + 490000

c = 700.4

l = 700.4 cm

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We can change 4\frac{2}{7} to the improper fraction 30/7.

We can also change 2\frac{1}{5} to the improper fraction 11/5.

Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.

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66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.

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3 years ago
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Answer:

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Four circles of unit radius are drawn with centers $(1,0)$, $(-1,0)$, $(0,1)$, and $(0,-1)$. a circle with radius 2 is drawn wit
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