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2 years ago

HELP!!!! A quarter circle is attached to the side of a square as shown.

Mathematics

1 answer:

Paul [167]2 years ago

6 0

Answer:

28.56 m²

Step-by-step explanation:

What we need to do for the quarter circle is use the following formula: 1/4(πr²)

(4 * 4) + 1/4(3.14 * 4²)

16 + 1/4(3.14 * 16)

16 + 1/4(50.24)

16 + 12.56

28.56 m²

The best approximation for the area of this figure is 28.56 m².

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3 years ago

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Llana [10]

<h3><u>Question:</u></h3>

Isabella’s rain gauge showed 3 4/5 centimeters (cm) last Tuesday. This Tuesday, the rain gauge showed 5 7/10 centimeters. How many more centimeters of rain fell during the week?

A 9 1/2cm B 8 1/2cm c 2 4/5cm D 1 9/10 cm

<h3><u>Answer:</u></h3>

Option D

$1\frac{9}{10}$ more centimeters of rain fell during this week than last week

<h3><u>Solution:</u></h3>

From given,

$Last\ tuesday = 3\frac{4}{5}\ cm\\\\Convert\ to\ improper\ fraction\\\\Last\ tuesday = \frac{5 \times 3 + 4}{5} = \frac{19}{5}\ cm$

Also given that,

$This\ tuesday = 5\frac{7}{10}\ cm = \frac{10 \times 5 + 7}{10} = \frac{57}{10}\ cm$

<em><u>How many more centimeters of rain fell during the week?</u></em>

$This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19}{5}\\\\This\ tuesday - last\ tuesday = \frac{57}{10} - \frac{19 \times 2}{5 \times 2}\\\\This\ tuesday - last\ tuesday = \frac{57-38}{10}\\\\This\ tuesday - last\ tuesday = \frac{19}{10}\\\\Converting\ to\ mixed\ fraction\\\\\rightarrow \frac{19}{10} = 1\frac{9}{10}$

Thus $1\frac{9}{10}$ more centimeters of rain fell during this week than last week

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Step-by-step explanation:

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