What is the volume of the composite figure shown below?

Mathematics

1 answer:

AVprozaik [17]2 years ago

7 0

Answer:

2412 mm³

Step-by-step explanation:

In the figure attached, the composite figure is shown.

Dimension of top rectangular prism:

length of 13 millimeters

width of 12 millimeters

height of 12 millimeters

Volume of top rectangular prism: length*width*height = 13*12*12 = 1872 mm³

Dimension of bottom rectangular prism:

length of 15 millimeters

width of 12 millimeters

height of 3 millimeters

Volume of bottom rectangular prism: length*width*height = 15*12*3 = 540 mm³

Volume of the composite figure: 1872 + 540 = 2412 mm³

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Please help me now ! Thank you

jarptica [38.1K]

First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now

2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4

At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.

Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.

For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196

No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.

So x^2 = -4 has no real solutions. Taking the square root of both sides leads to

x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values

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2 years ago

Find the greatest common factor of the following mononmials : u^2v^2 , 11u^2v^5

weeeeeb [17]

Answer:

Step-by-step explanation:

Since there are no common prime factors, the only common factors for both monomials are 1, therfore they stay as they are, 11u²v⁵ and u²v².

I am joyous to assist you anytime.

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2 years ago

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