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never [62]
4 years ago
13

The inequality for the graph and please answer quickly

Mathematics
1 answer:
Marizza181 [45]4 years ago
3 0

Answer:

x ≥ 1

Step-by-step explanation:

  1. The circle is over 1
  2. The circle is closed (filled in), which means it will be either ≤ or ≥.
  3. The arrow is pointing right, so it's ≥.
  4. The number can be represented by x
  5. Put it together: x ≥ 1

I hope this helps!

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Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg o
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Answer:

368 sq. units.

Step-by-step explanation:

We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.

Now, the four isosceles right triangles have one leg equal to 4 units.  

Therefore, the area of four triangles = 4 \times ( \frac{1}{2} \times 4 \times 4) = 32 sq. units.

Now, we have the area of the given square is (20 × 20) = 400 sq. units.

Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)

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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}}

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AE\approx 4.01\times 354

AE\approx 1419.54

The height air balloon is 1419.54+95 =1514.54 ft

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