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yarga [219]
2 years ago
8

Enter the number that 95.746 rounds to when rounded to the nearest hundredth.

Mathematics
1 answer:
vladimir1956 [14]2 years ago
5 0

Answer:

95.75

Step-by-step explanation:

Note the place values:

9   (tens place value)

5   (ones place value)

.

7   (tenths place value)

4   (hundredths place value)

6   (thousandths place value)

~

In this case, you want to round to the nearest hundredth place value. to round, look at the place value directly right of the place value you are solving for (in this case, the thousandths place value). The value is 6.

Note:

  • When the value of the digit is 5 or greater, you round up.
  • When the value of the digit is 4 or less, you round down.

In this case, the value is 6, so you will round up:

95.746 rounded to the nearest hundredth is 95.75

~

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General Formulas and Concepts:

<u>Math</u>

  • Rounding

<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
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<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
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Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle θ = 40°

Opposite Leg = <em>x</em>

Adjacent Leg = 21

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

  1. Substitute in variables [tangent]:                                                                   \displaystyle tan(40^\circ) = \frac{x}{21}
  2. [Multiplication Property of Equality] Isolate <em>x</em>:                                                \displaystyle 21tan(40^\circ) = x
  3. Rewrite:                                                                                                           \displaystyle x = 21tan(40^\circ)
  4. Evaluate:                                                                                                          \displaystyle x = 17.6211
  5. Round:                                                                                                            \displaystyle x \approx 17.6
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