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2 years ago

The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.

Mathematics

1 answer:

maria [59]2 years ago

8 0

Answer:

28 cm²

Step-by-step explanation:

Given:

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Solution:

Area of the parallelogram = a*b*sin(θ)

a = 4cm

b = 7 cm

θ = 100°

Area of parallelogram = 4*7*sin(100)

Area = 28*0.9848

Area = 27.57

Area of parallelogram to 2 significant figure = 28 cm²

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You have a 1200-foot roll of fencing and a large field. you want to make two paddocks by splitting a rectangular enclosure in ha

romanna [79]

Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985

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3 years ago

1. What is the simplified form of the following expression? 12x

eimsori [14]

12x² - 3.5y + 10y + 1.5x² + y Combine like terms

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3 years ago

Find the exact angular velocity in radians per hour wind W= 4.1 rpm

nataly862011 [7]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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