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Anon25 [30]
3 years ago
15

What is the solution to the equation below ?

Mathematics
1 answer:
irina [24]3 years ago
3 0

7/8(x-1/2)= -49/80

Multiply the bracket by 7/8

7/8x-7/16= -49/80

Move -7/16 to other side. Sign changes from -7/16 to +7/16

7/8x-7/16+7/16= -49/80+7/16

7/8x= -49/80+7/16

Find common denominator for 7/16 which is 5. Multiply 5 for the numerator and denominator.

7(5) / 16 (5)

= 35/80

7/8x= -49/80+35/80

7/8x= -14/80

Reduce -14/80 , divide by 2

(-14) /2=7 , 80/2= 40

-14/80= -7/40

7/8x= -7/40

Multiply by 8/7

7/8x*8/7= -7/40 * 8/7

Cross out 7 and 7 , and divide by 7. Cross out -7 and 7 and divide by 7. Cross out 40 and 8 divide by 8.

x= -1/5

Answer: x= -1/5 - G.

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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>
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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

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