Answer:
associative = (2 + 6) + 3 = 2 + (6 + 3)
commutative = 8x4=4x8
distributive is the one with 2(3+7)
identity of addition 9+0
identity of multiplication (16)(1)
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❖ A plane has 2 dimensions. A plane is flat so its two dimensional.
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Answer:
51,53,55,57
Step-by-step explanation:
By the triangle inequality the sum of the lengths of any two sides is greater than or equal to the third side. In our case, 3 + 54 = 57, so the third side must be less than or equal to 57.
Answer:
![\displaystyle x \approx 9.2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%209.2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = 35°
Opposite leg = <em>x</em>
Hypotenuse = 16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Sine]:
![\displaystyle sin35^\circ = \frac{x}{16}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20sin35%5E%5Ccirc%20%3D%20%5Cfrac%7Bx%7D%7B16%7D)
- [Multiplication Property of Equality] Isolate <em>x</em>:
![\displaystyle 16sin35^\circ = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%2016sin35%5E%5Ccirc%20%3D%20x)
- Rewrite:
![\displaystyle x = 16sin35^\circ](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2016sin35%5E%5Ccirc)
- Evaluate trig:
![\displaystyle x = 16(0.573576)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%2016%280.573576%29)
- Multiply:
![\displaystyle x = 9.17722](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%209.17722)
- Round:
![\displaystyle x \approx 9.2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%5Capprox%209.2)
Answer:
The answer is A; 19
Step-by-step explanation:
4 × (3/4 - 2/4) + 3 × 6
= 4 × 1/4 + 3 × 6
= 1 + 3 × 6
= 1 + 18
= 19