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jarptica [38.1K]
4 years ago
9

Name the algebraic property demonstrated in the example below: x ⋅ y ⋅ z = y ⋅ x ⋅ z

Mathematics
1 answer:
Elena L [17]4 years ago
6 0
The algebraic property is called here commutativity :

<span>x ⋅ y ⋅ z = y ⋅ x ⋅ z    | ÷z   (We divide by z)
</span>

→ x ⋅ y  = y ⋅ x  → <span>That means you can switch ( = commute)  factors anyway, the product will remain the same.</span>



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I need help on this question this is what i need help with<br><br> 416+ 523⎯⎯⎯⎯⎯⎯⎯⎯⎯
klio [65]

Answer:

416+523=939

Step-by-step explanation:

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Consider the problem: Jasmine wants to buy a brand new pair of headphones that cost $99. While she already has $40 saved up, she
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The number of hours that Jasmine can work so she can afford the new headphones x = 6 weeks.

let x represent the number of weeks it will take to save enough money.

If she saves $11 each week, then in x weeks she will save  11x dollars.

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2 years ago
Please help me! I will give brainliest to the person who answers correctly.
Sveta_85 [38]

Answer:

  • sin(X) = 6/7.5
  • XY = 4.5
  • cos(X) = 4.5/7.5
  • tan(X) = 6/4.5

Step-by-step explanation:

It is convenient to use the Pythagorean theorem to find XY to start with. That theorem tells you ...

  XZ² = YZ² + XY²

Solving for XY, you find ...

  XY² = XZ² - YZ²

  XY = √(XZ² - YZ²) = √(7.5² -6²) = √(56.25 -36) = √20.25

  XY = 4.5

The mnemonic SOH CAH TOA is very helpful here. It reminds you that ...

  Sin = Opposite/Hypotenuse

  sin(X) = 6/7.5

  Cos = Adjacent/Hypotenuse

  cos(X) = 4.5/7.5

  Tan = Opposite/Adjacent

  tan(X) = 6/4.5

_____

<em>Comment on the triangle and ratios</em>

The side lengths of this triangle are in the ratios ...

  XY : YZ : XZ = 3 : 4 : 5

If you recognize that the given sides are in the ratio 4 : 5, this tells you that you have a "3-4-5" right triangle with a scale factor of 1.5. At least, you can find XY = 1.5·3 = 4.5 with no further trouble.

The trig ratios could be reduced to sin(X) = 4/5; cos(X) = 3/5; tan(X) = 4/3, but the wording "don't simplify" suggests you want the numbers shown on the diagram, not their reduced ratios.

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