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nevsk [136]
4 years ago
9

Janine spends spends 1/10 hour making the bed, 1/5 hour setting dressed, and 1/2 hour eating breakfast. What fraction of an hour

does she spend doing these activities
Mathematics
2 answers:
Murljashka [212]4 years ago
7 0

Answer:

4/5 hour

Step-by-step explanation:

Janine spends spends 1/10 hour making the bed, 1/5 hour setting dressed, and 1/2 hour eating breakfast. Then to find the fraction of the she spent doing this activities, we simply add all the time she spent in doing each activity together and then simplify.

That is;

Time spent in doing activities = time spent in making bed + time spent in setting dress + time spent in eating breakfast.

Time spent in doing activities =  1/10 + 1/5 + 1/2

                                                =\frac{1 + 2 + 5}{10}

                                               

                                               =\frac{8}{10}

We can further simplify \frac{8}{10} to give us \frac{4}{5}  ( when two divide both the numerator and the denominator.

Therefore time spent in doing all the activities is  \frac{4}{5}  hour

Natali [406]4 years ago
4 0
8/10 or 4/5 of an hour
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The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rh
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Hi there! :)

<u>Answer:</u>

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²


Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

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<u>45² = 36² + b²</u> → Where "b" is the half of the unknown diagonal.

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<u>27 = b</u>

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

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2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

<u>(72 × 54)</u> ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = <u>3,888</u>

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There you go! I really hope this helped, if there's anything just let me know! :)

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