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3241004551 [841]
3 years ago
8

(Apex Question, Help?)

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0
Yea its D. Can I please get brainliest?
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Which pair of fractions shows a correct comparison? A.2/3 = 5/10 B.2/3 1/9 D.1/3 = 3/10 E.1/3 > 5/6 F.1/3 < 4/12
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3 years ago
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
AnnZ [28]

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

AE\approx 1419.54

The height air balloon is 1419.54+95 =1514.54 ft

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

7 0
3 years ago
A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where
marta [7]

Answer:

Height =3

Step-by-step explanation:

Given

Length = x + 2

Width = x - 2

Height = x

Volume = 15

Required

Find the height

The volume is calculated as thus:

Volume = Length * Width * Height

This gives

15 = (x + 2) * (x - 2) * x

Apply difference of two squares

15 =(x^2 - 4 ) * x

15 = x^3 - 4x

Subtract 15 from both sides

x^3 - 4x - 15 = 0

Using a calculator to factorize, we have:

(x-3)(x^2+3x+5) = 0

Split

x - 3 = 0 or x^2 + 3x + 5 = 0

x = 3 or  x^2 + 3x + 5 = 0

x has complex roots for x^2 + 3x + 5 = 0

Hence:

x = 3

Recall that:

Height = x

Height =3

3 0
3 years ago
Which choice is equivalent to the product below when x≥x​
Mazyrski [523]

Answer:

B.

Step-by-step explanation:

If you dont understand what I wrote, just ask!

4 0
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