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Fofino [41]
4 years ago
9

From a point on the ground 47ft from the base of a tree, the angle

Mathematics
1 answer:
Orlov [11]4 years ago
3 0

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

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A conjecture and the two-column proof used to prove the conjecture are shown.
drek231 [11]

Answer:

The answer to your question is:

Step-by-step explanation:

              Statement                                 Reason

1.-                ----                                          ----

2.-          m∠1 + m∠2 = 180°                     -----

3.-               -----                                        -----

4.-              ------                                       Definition of bisector

5.-         m∠1 + m∠3 = 180°                    Substitution property of equality

6.-              -----                                          -----

5 0
3 years ago
What is the answer for 52 divided by 8 with remainder
Sveta_85 [38]
The answer is 6 with a remainder of 4
4 0
4 years ago
hi if anyone is good with extraneous solutions pleaseeeeeee help meeee tessa solves the equation below by first squaring both si
Sergio [31]

Answer:

x = -7/5

Step-by-step explanation:

If we square both sides of the equation, we get:

\sqrt{x^2-3x-6}=x-1\\ (\sqrt{x^2-3x-6})^2=(x-1)^2\\x^2-3x-6=x^2-2x+1\\

Then, solving for x, we get:

x^2-3x-6=x^2-2x+1\\-3x-6=2x+1\\-6-1=2x+3x\\-7=5x\\\frac{-7}{5}=x

So, x is equal to -7/5

6 0
3 years ago
A piece of hardware is constructed by drilling a cylindrical hole
abruzzese [7]

The volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.

<h3>What is a cylinder and a square prism?</h3>

A square prism is simply a 3-dimensional shape figure with square bases and the other four faces are rectangular in shape.

The volume of a square prism is expressed as;

V = a²h

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Given the data in the question and image below.

For the square prism;

  • Length of sides a = 20mm
  • Height h = 35mm

For the cylinder;

  • Radius r = diameter/2 = 20mm/2 = 10mm
  • Height h = 35mm
  • Constant pi π = 3.14

Now, the volume of tthe remaining material once the hole has been drilled will be;

V = Volume of the square prism - volume of the cylinderical hole

V = ( a² ×  h ) - ( π × r² × h)

V = ( (20mm)² ×  35mm ) - ( 3.14 × (10mm)² × 35mm)

V = 14000mm³ - 10990mm³

V = 3010mm³

Therefore, the volume of the remaining material once the hole has been drilled to the nearest cubic millimeter is 3010mm³.

Learn more on volume of cylinder here: brainly.com/question/16788902

#SPJ1

6 0
2 years ago
Brenda makes a wooden coasters. She cuts small round posts into 2/3-inch thick disks of wood. How many coasters can brenda make
Helen [10]

1/2 foot is 6 inches.

Brenda has to divide that 6 inches up into slices that are 2/3 inch thick.

If she uses a saw that has no thickness and makes no sawdust, she can get

(6) ÷ (2/3) = (6) · (3/2) = (18 / 2) = 9 slices out of the 6-inch post.

3 0
3 years ago
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