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Mamont248 [21]
1 year ago
10

Question 3(Multiple Choice Worth 2 points)

Mathematics
1 answer:
Lilit [14]1 year ago
6 0

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

<h3>What is an equivalent expression?</h3>

The equivalent is the expression that is in different forms but is equal to the same value.

Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.

Convert the sentence into numerical form.

\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}

Simplify the expression, then we have

\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

More about the equivalent link is given below.

brainly.com/question/889935

#SPJ1

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Find the missing side length of the triangle 10m 7.5m
xxTIMURxx [149]

Answer:

c = 12.5

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> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Identify</u>

Leg <em>a</em> = 7.5

Leg <em>b</em> = 10

Hypotenuse <em>c</em> = <em>c</em>

<em />

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

  1. Substitute in variables [Pythagorean Theorem]:                                              7.5² + 10² = c²
  2. Rewrite:                                                                                                             c² = 7.5² + 10²
  3. Evaluate exponents:                                                                                         c² = 56.25 + 100
  4. Add:                                                                                                                   c² = 156.25
  5. [Equality Property] Square root both sides:                                                    c = 12.5
5 0
3 years ago
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