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Andreas93 [3]
3 years ago
15

The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m long. The distance r from one

corner to the center of the base is 11.5m. What is the vertical height, h , of the tetrahedron

Mathematics
2 answers:
shusha [124]3 years ago
8 0
A tetrahedron is a triangular pyramid. It has four triangular faces and four vertices. 

In the question, we are told that the length of the edges are all equal = 20m and the length from one corner to the center of the base = 11.5m

We sketch a diagram of a tetrahedron with the given measurement as shown below

To find the height, we will use the Pythagoras theorem

20² = h² + 11.5²
h² = 20² - 11.5²
h² = 267.75
h = √267.75
h = 16.36 (rounded to two decimal places)

kati45 [8]3 years ago
6 0

Answer:

16.36

Step-by-step explanation:

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You can FOIL (First, Outside, Inside, Last)

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Combine all the products of FOIL together

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Combine like terms

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Hope this helped!

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6 0
3 years ago
The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
nataly862011 [7]

Use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 15^2 = 25^2

a^2 + 225 = 625

a^2 = 400

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Hope this helps!!

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5 0
3 years ago
A decent-sized square plot of land in town is one acre. If Mr. Pearson wants to play football with his son Connor, then how far
sammy [17]
One acre of land is equal to 4046.86 sq.m.
To know how far they can throw the ball from corner to corner can be interpreted in two ways: throwing the ball diagonally across the field or throwing the ball horizontally across the field. For the first question, since the field is a square, you can use the equation Diagonal of Square = A x sq.root of 2.

In this case, the answer would be 89.97 m.

If the ball is thrown horizontally across the field, then you would only need to know the length of one side of the square, which is the square root of the area. Doing this would give you the answer 63.61 m.
4 0
4 years ago
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WILL GIVE BRAINLIEST
Eva8 [605]

Answer:

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Step-by-step explanation:

The two lines are parallel which means they will never intersect.  This means they have no solution.  When there is no solution they are inconsistent.


Coincident-  same line - infinite solutions

Inconsistent - parallel lines - no solutions

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3 years ago
If Sine (x) = two-fifths and tan(x) > 0, what is sin(2x)?
ElenaW [278]

B) \frac{4\sqrt{21}}{25}

Correct on Edge

4 0
3 years ago
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