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PSYCHO15rus [73]
3 years ago
8

What is the length of the diagonal, ddd, of the rectangular prism shown below?

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

≈ 9.6 units

Step-by-step explanation:

<em>Refer to attachment</em>

The diagonal d is the hypotenuse of right triangle with sides of 5 and a

The line a is the hypotenuse of the right triangle with the sides of 2 and 8.

<u>So, as per Pythagorean theorem:</u>

  • d² = 5² + a²
  • d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
  • d² = 93
  • d = √93
  • d ≈ 9.6 units (rounded to the nearest tenth)

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Rewrite using the distributive property and GCF 16 + 40
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The GCF of 16 and 40 is 8.

16/8 = 2

40/8 = 5

We can rewrite this using the distribute property like so:

<h3><u>8(2 + 5)</u></h3>

Using the distributive property:

16 + 40

16 + 40 = 56

We can also add inside the parentheses and multiply and we'll get the same answer.

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Given f(x)=x^2, write the equation of the transformed function if g(x)=f(x-1)
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Answer:

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Step-by-step explanation:

1.

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