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bonufazy [111]
3 years ago
11

MARKING AS BRAINLIEST!! (Geometry)

Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

x = 15.49

Step-by-step explanation:

As you can see this is a right-angled triangle due to the right angle symbol, we can use Pythagorean theory to find the unknown length:

a^2 + b^2 = c^2

In this case, we know C and B but not A so:

a^2 = c^2 - b^2

Now plug the values in:

a^2 = 16^2 - 4^2

a^2 = 256 - 16

a^2 = 240

Square root the answer to get A:

a = \sqrt{240}

a = 15.49

x = 15.49

Hope this helps!

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The function that represents how much more water can be added to the bucket before it overflows is given as follows:

c(x) = 6x³ + 3x² - 2x - 2.

<h3>How to define the function?</h3>

The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.

The functions in this problem are defined as follows:

  • f(x) = 8x³ + 4x² - 6x + 5.
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Then the capacity function is obtained as follows:

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c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)

Then the distributive property is applied to the negative sign as follows:

c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.

Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:

c(x) = 6x³ + 3x² - 2x - 2.

More can be learned about operations with functions at brainly.com/question/2723982

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5 0
1 year ago
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using
amm1812

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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P(z

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Thus the above is the right answer.

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