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Svetach [21]
3 years ago
12

A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The hei

ght is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?​
Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

6 cm

Step-by-step explanation:

Volume of a Prism = base area x height =

Base area = length x width =  12 x 2 = 24 cm^2

Volume = 24 x 3 = 72 cm^3

Volume of a pyramid = 1/3( l x w x h)

72 = 1/3( 6x6 x h)

Multiply both sides of the equation by 3

216 = 36 x h

divide both sides by 36

h = 6

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If a,b,c,d, and e are non negative such that x^6-289x^4-x^2+289=(x-a)(x+b)(x_c)(x+d)(x^2+ex+1), what is the value of a+b+c+d+e?
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Answer:

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Step-by-step explanation:

Hello,

If X=x^2 it becomes

X^3-289X^2-X+289=(X^2-1)(X-289)

and 289=17^2

X^2-1=(X-1)(X+1)=(x^2-1)(x^2+1)=(x+1)(x-1)(x^2+1) \\\\x^2-289=x^2-17^2=(x-17)(x+17)

So,

x^6-289x^4-x^2+289=(x^2-1)(x^2+1)(x^2-289)=(x-1)(x+1)(x+17)(x-17)(x^2+1)

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c = 17

d = 17

e = 0

Then a + b + c + d + e = 36

Thanks

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Answer:

All non zero digits count in significant digits.

(a) is correct option.

Step-by-step explanation:

Given that,

1.4 has 2 significant digits.

We know that,

Significant digits :

All non zero digits count in significant digits.

All zero which is present in between two significant digits it is also significant.

Leading zero is not count as significant.

Trailing zero is count as significant.

We need to find 1.4 has 2 significant digits as a result of which rule

Using given rules

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Hence, All non zero digits count in significant digits.

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