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Zolol [24]
3 years ago
10

A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 me

ters and the canoes is -4.8 meters. The equation 12+d=-4.8 represents the situation.
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

i. The distance between the balloon and canoe is 16.8 meters.

ii. The situation can be represented by: -12 + d = 4.8

Step-by-step explanation:

Let the surface of the lake be zero. Then any position above it is taken to be positive, while any position below is taken as negative.

So that,

the balloon's vertical position = 12 meters

the sunken canoe's position = -4.8 meters

Given that the distance between the balloon and the canoes is d, then:

d = balloon's position - canoe's position

  = 12 - (-4.8)

  = 12 + 4.8

d  = 16.8

The distance between the balloon and canoe is 16.8 meters.

Thus,

d = 12 -(-4.8)

d = 12 + 4.8

-12 + d = 4.8

The situation can be represented by: -12 + d = 4.8

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The perimeter of the entire figure is 62.8 cm.

Given, that the diameter of the inner semicircles is 9 cm and the width between the outer and inner semicircles is 2 cm.

The radius of the inner semicircle =4.5 cm and the radius of outer semicircle =5.5 cm (∵Diameter=9+2=11 cm)

We need to find the perimeter of the entire figure.

<h3>What is the perimeter?</h3>

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

We know that, the circumference of a semicircle=πr and the circumference of two semicircles=2πr

Thus, the circumference of inner semicircles=2×3.14×4.5=28.26 cm

The circumference of outer semicircles=2×3.14×5.5=34.54 cm

The perimeter of the entire figure=28.26+34.54=62.8 cm

Therefore, the perimeter of the entire figure is 62.8 cm.

To learn more about the perimeter visit:

brainly.com/question/6465134.

#SPJ1

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2 years ago
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Expand &amp; simplify x(x+2)+x(x-3)
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3 0
3 years ago
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Eric ran from school to the town monument and back again. On his way to the monument, he ran at 10kph and went back to school at
Aloiza [94]

Answer:

Distance = 10 km

Step-by-step explanation:

Let x be the number of hours taken from school to town and y be the number of hours taken back to the school

Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.

=> 10x = 8y  

Dividing both sides by 2

=> 5x = 4y

=> 5x-4y = 0   ------------------(1)

<u><em>The total time for both the trips is:</em></u>

=> x + y = 2.25 -------------------(2)

Multiplying eq (2) by 5

=> 5x+5y = 11.25  ---------------(3)

Subtacting (3) from (1)

=> 5x-4y-5x-5y = 0-11.25

=> -4y-5y = -11.25

=> -9y = -11.25

Dividing both sides by -9

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Putting in (2)

=> x + 1.25 = 2.25

=> x = 2.25 - 1.25

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<u><em>Now, Calculating the Distance</em></u>

=> Distance = 10x

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=> Distance = 10 km

3 0
3 years ago
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8 0
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There is other questions, I will put it in the comments
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Do u still need help? I’m not sure how long ago u posted this but if u do need help I can answer it if u want
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