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patriot [66]
3 years ago
5

Show the Euler-Descartes formula holds for the Great Pyramid of Cheops

Mathematics
1 answer:
quester [9]3 years ago
8 0

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four  at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

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Drag the choices into the boxes to explain how all real numbers have a decimal expansion.
KATRIN_1 [288]

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Step-by-step explanation:

1. The decimal forms of some real numbers, like( ), terminate

A number is terminating if it has decimal with finite number

So, \frac{3}{16}= 0.1875 as decimal stops after 4 digits so it is terminating.

2.  the decimal forms of other real numbers, like( ), do not terminate, but have a repeating pattern.

A number that do not terminate, but have a repeating pattern.

So, 4 \frac{2}{11} =\frac{44}{11}=4.1818181

3. have decimal forms that neither terminate nor repeat

5^2 = 25 it neither terminates nor repeat

So, answers will be:

The decimal forms of some real numbers, like( 3/16), terminate, while the decimal forms of other real numbers, like(4 2/11 ), do not terminate, but have a repeating pattern. Still, other real numbers, like(5 squared ), have decimal forms that neither terminate nor repeat.

Keywords: Decimals

Learn more about decimals at:

  • brainly.com/question/10941043
  • brainly.com/question/4390083

#learnwithBrainly

6 0
3 years ago
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
ivanzaharov [21]

Answer:

x = 6

y = 3

Step-by-step explanation:

Give triangle is a right triangle.

By applying sine ratio in the given triangle,

sin(60)° = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2}=\frac{3\sqrt{3}}{x}

x = 6

Now we take the cosine ratio in the given triangle,

cos(60)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{y}{x}

y = \frac{x}{2}

y = \frac{6}{2}=3

Therefore, x = 6 and y = 3 will be the answer.

3 0
3 years ago
What is the equal to 3^3.3^5 A. 3−2 B. 32 C. 38 D. 315
lora16 [44]
3^3 \cdot 3^5 = 3^{3+5} = 3^8\\\\\boxed{\bf{C)~3^8}}\\\\\\a^b \cdot a^c = a^{b+c}
3 0
3 years ago
el vector desplazamiento de un objeto en movimiento inicialmente en el origen tiene una magnitud de 12.5 cm y está en un ángulo
vladimir1956 [14]

Answer:

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7 0
3 years ago
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Answer:

He will save 21 dollars.

Step-by-step explanation:

44.99 - 23.99= 21

6 0
3 years ago
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