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Elodia [21]
3 years ago
9

What is the pattern in these numbers? Please explain

Mathematics
1 answer:
galben [10]3 years ago
8 0

Answer:

5/4 and 6/3

Step-by-step explanation:

This series has increasing numerator and decreasing denominator. This series starts as 1/8, So the series goes like

1/8

2/7

3/6 which is reduced to 1/2

4/5

5/4

6/3 which will be reduced to 2

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The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distan
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Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

Draw a line BE parallel to CD.

Therefore, AD=x+95, BC=95 and BE=CD=354 ft

Now in triangle ABE.

\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}

\tan76^{\circ}=\dfrac{AE}{BE}

AE\approx 4.01\times 354

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Hence, the height of the hot air balloon is 1514.54 feet approximately.

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If w = 10 units, x= 5 units, and y= 6 units, what is the surface area of the figure?
qwelly [4]

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Step-by-step explanation:

The area of the square base is ...

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  lateral area = 4wx = 4(10 units)(5 units) = 200 units²

The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:

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__

Now we have the areas of the parts, so we can add them together to get the total surface area:

  surface area = base area + lateral area + area of triangular faces

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  surface area = 456.2 units²

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