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3 years ago

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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Mrs. Smith had the following transactions during the week:

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Answer:

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Step-by-step explanation:

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3 years ago

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A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they double the

valina [46]

Answer:

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third week = 109 times 2= 218

Step-by-step explanation:

Let x be the number of boxes sold in first week

the girls sold 5 more boxes the second week

So number of boxes sold in second week is x+5

they double the sales of the second week for the third week

So number of boxes sold in third week is 2 (x+5)

Total boxes sold is 431

$x+x+5+2(x+5)=431$

$x+x+5+2x+10=431$

$4x+15=431$

subtract 15 from both sides

$4x=416$

divide by 4 on both sides

$x=104$

Boxes sold first week = 104

Boxes sold second week =x+5= 104+5=109

Boxes sold third week = 104 times 2= 218

4 0

2 years ago

At the beginning of the snowstorm, Olivia had 4 inches of snow on her lawn. The snow then began to fall at a constant rate of 1

Alekssandra [29.7K]

Answer:

For the first one It would be 8 but the second one id k

Step-by-step explanation:

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2 years ago

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11. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?

Igoryamba

Answer:

d = 36 km

Step-by-step explanation:

Speed of Jim, v = 18 km/h

Time, t = 2 hours

We need to find the distance covered. We know that the speed of an object is equal to the distance covered by it divided by total time taken.

$v=\dfrac{d}{t}\\\\d=v\times t\\\\d=18\ km/h\times 2\ h\\\\=36\ km$

So, he will cover 36 km.

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3 years ago

find the local and/or absolute extrema for the function over the specified domain. (Order your answers from smallest to largest

Arlecino [84]

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

$f(x)=x^{2}+8\:over\:[-1,4]$

1) Calculating the first derivative

$f'(x)=2x$

2) Now, let's work to find the critical points

Set this

$2x=0\\x=0$

0, belongs to the interval. Plug it in the original function

$f(0)=(0)^2+8\\f(0)=8$

3) Making a table x, f(x) then compare

x| f(x)

-1 | f(-1)=9

0 | f(0)=8 Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.

5 0

2 years ago