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IRINA_888 [86]
3 years ago
5

How is this problem simplified? I'm confused on how they got 11 and I'm assuming they got 12 by adding 2+10?

Mathematics
1 answer:
Natalka [10]3 years ago
4 0
We can show that this is true by doing this

2√3+10√3-1√3
undistribute √3
(√3)(2+10-1)
(√3)(12-1)
(√3)(11)
11√3

yah, that's what they did, but I just showed that it works
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Given that,

Colin buys a box of pasta that contains 823 cups of pasta.

He uses 212 cups to make dinner.

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Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.
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Answer:

(a). 2.251 cm , 2.349 cm, 2.295 cm

(b). 0.023 meters.

Step-by-step explanation:

(a). We are asked to to choose the options that shows the actual measurement of the rainfall.

Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.

Let us check our given choices one by one.

2.251\text{ cm}\approx 2.3\text{ cm}

2.349\text{ cm}\approx 2.3\text{ cm}

2.352\text{ cm}\approx 2.4\text{ cm}

2.295\text{ cm}\approx 2.3\text{ cm}

Therefore, the correct choices are 2.251 cm , 2.349 cm  and 2.295 cm.

(b) We know that 1 cm equals 0.01 meters.

To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.

2.3\text{ cm}=2.3\text{ cm}\times \frac{0.01\text{ meters}}{\text{cm}}

2.3\text{ cm}=0.023\text{ meters}

Therefore, the rounded measurement of rain would be 0.023 meters.

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