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Leona [35]
3 years ago
7

2^2 x 3^3 x 4^5/ 2 x 3 x 4^5 Please explain

Mathematics
1 answer:
Verdich [7]3 years ago
3 0

<em>Answer:</em>

<em>18</em>

<em>Step-by-step explanation:</em>

<em>Hi there !</em>

2² x 3³ x 4⁵/ 2 x 3 x 4⁵ =

<em>simplify 2 ; 3 ; 4⁵</em>

<em>= 2ₓ3²/1</em>

<em>= 2ₓ9</em>

<em>= 18</em>

<em>Good luck !</em>

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There are 812,000 gallons of water in an olympic training center's pool. Express this number in scientific notation.
Darya [45]

.12×10^5

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3 0
4 years ago
DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures
Vesnalui [34]

Answer:

\displaystyle EF \approx 15.9

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = 28°

Adjacent Leg = EF = <em>x</em>

Hypotenuse = DF = 18

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cos28^\circ = \frac{x}{18}
  2. [Multiplication Property of Equality] Multiply 18 on both sides:                  \displaystyle 18cos28^\circ = x
  3. Evaluate trig:                                                                                                  \displaystyle 18(0.882948) = x
  4. Multiply:                                                                                                          \displaystyle 15.8931 = x
  5. Rewrite:                                                                                                          \displaystyle EF = 15.8931
  6. Round:                                                                                                             \displaystyle EF \approx 15.9
8 0
3 years ago
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