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dangina [55]
3 years ago
7

Find the area of the figure with Heron’s formula

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

735 cm²

Step-by-step explanation:

The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.

The other part of the figure will be a square of sides 21 cm by 21 cm

<u>Area of the square section</u>

Area = l²

Area = 21* 21 = 441 cm²

<u>Area of the triangle using Heron's formula</u>

Sides of the triangle are ;

a= 28 cm

c= 35 cm

b = 21 cm -----height of the trapezium

The Heron's formula is given as;

A=\sqrt{s( s-a)(s-b )(s-c )}

where s is half the perimeter of the triangle

Perimeter of the triangle is given as ;

P= 35 + 28 + 21 =84 cm

s= 84/2 = 42 cm

A=\sqrt{42*(42-21 )*(42-35 )*(42-28 )} \\\\A=\sqrt{42*(21 )*(7 )*( 14)} \\\\A=\sqrt{86436} \\\\A=294\\\\

Total area = 294 + 441 = 735 cm²

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Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

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Given a magnitude M and angle \theta, then a vector V can be represented as follows in component notation:

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In this problem, the magnitude and the angle are given, respectively, by:

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Hence:

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The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

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2 years ago
Lucy spends 4 hours a week babysitting. Her sister Lily spends seven eighths as much time babysitting. Does Lily babysit for mor
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Answer:

Lily babysit for <u>less than 4 hours</u>.

Step-by-step explanation:

Given:

Lucy spends in a week babysitting for 4 hours.

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Now, to find whether Lily babysit for more than 4 hours or less than that.

Number of hours Lucy babysit = 4 hours.

So, to get the hours Lily babysit:

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