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Nadusha1986 [10]
3 years ago
9

When 80% of a number is added to the number, the result is 216. What is the number?

Mathematics
1 answer:
azamat3 years ago
8 0
80%x + x = 216
0.8x + x = 216
1.8x = 216
x = 216/1.8
x =  120

hope this help
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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
Solve the equation 0.5p -3.45= -1.2.​
ddd [48]

Answer:

4.5

Step-by-step explanation:

0.5p-3.45=-1.2

add 3.45 to -1.2 which would leave the equation to look like

0.5p=2.25

then divide 0.5 to both sides cancelling 0.5 leaving the answer to be

p=4.5

6 0
3 years ago
Angela drew 9 rhombuses and 6 trapezoids. She wants to find q, the total number of angles in her quadrilaterals. Explain how Ang
Reil [10]
Both rhombuses and trapezoids have 4 angles. Angela can add 9 and 6 which will give her 15 and multiply by 4 which will give her 60.

Angela has 60 angles.

I hope this helped!!! :)
5 0
3 years ago
Answer the equation according to the directions
Alchen [17]
Answer: 2x^9 Hope this helps!
5 0
3 years ago
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?
MariettaO [177]

|\Omega|=6^2=36\\ |A|=\underbrace{2}_{\text{the sum is 3}}+\underbrace{4}_{\text{the sum is 9}}=6\\\\ P(A)=\dfrac{6}{36}=\dfrac{1}{6}\approx17\%

7 0
3 years ago
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