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scZoUnD [109]
2 years ago
9

Mario worked from 8:25 to 12:45 yesterday. Today

Mathematics
1 answer:
solmaris [256]2 years ago
6 0

The number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

From the question,

Mario worked from 8:25 to 12:45 yesterday.

From 8:25 to 12:45 gives 4 hours 20 minutes

Also, from the question,

Today  he will work from 11:20 to 3:10

From 11:20 to 3:10 gives 3 hours 50 minutes

To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,

4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes

Now, to put the answer in fraction form, we will convert 10 minutes to hours

NOTE: 60 minutes = 1 hour

∴ 10 minutes = \frac{10}{60} \ hours = \frac{1}{6} \ hours

∴ 8 hours 10 minutes = 8\frac{1}{6} \ hours

Hence, the number of hours he worked in all (written in fraction form) is 8\frac{1}{6} \ hours

Learn more here: brainly.com/question/3164396

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The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

l² = a² + b²  [∵ The diagonal makes the hypotenuse]

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b² = (15)² - (9)²

b² = 225 - 81

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b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

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brainly.com/question/15019502

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