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Viefleur [7K]
3 years ago
5

Select the sum of the series. ∑4k=1k2

Mathematics
1 answer:
SashulF [63]3 years ago
7 0
File under /hs. c= file remove. cmx.html. please refile.
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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
Wayne is putting tools into a toolbox, one at a time. He wants to include a pair of pliers, a
Nikolay [14]

Answer:

5 different orders. hope this help

6 0
3 years ago
Denise bought a book that cost $9.95, a set of bookmarks that cost $1.95, and a magazine that cost $4.95. What was the cost of t
Andrej [43]

Answer:16.05 $

Step-by-step explanation: Put all the numbers in a vertical format and add them all up

                  9.95

                 +1.15

                 +4.95

                  --------

                   16.05

5 0
3 years ago
A friend provides 100 pieces of supporting evidence for a mathematical statement. What is the minimum number of counterexamples
seraphim [82]

Answer:

1 true good statement can prove his friend wrong.

Step-by-step explanation:

Answer is 1.

7 0
2 years ago
Sasha’s daily tips this work week were $43, $32, $65, $88, $50, and $72. Is Sasha correct in thinking that the mean accurately r
Marizza181 [45]
B is your answer !!!
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