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Mrac [35]
3 years ago
11

(a) 26.8% of 67.5 is what?(b) 215% of what number is 89.87?​

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

Part (a):

Turn percentage into a decimal.

26.8% = 0.268

Multiply.

67.5 * 0.268 = 18.09 (Answer)

Part (b):

Divide.

89.87 / 215 = 0.418

Turn into a whole number.

0.418 = 41.8 (Answer)

Turn percentage to a decimal to check.

215% = 2.15

Multiply

41.8 * 2.15 = 89.87

Hope This Helped! Good Luck!

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tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

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adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
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3 years ago
Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced
Sati [7]

Answer:

\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\

W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}

Step-by-step explanation:

\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls},(denoted \:W_1, W_2, \:and\: W_3)

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\

W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}

The tree diagram of this event is also attached.

6 0
3 years ago
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Answer:

16

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
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  5. Division
  6. Addition
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  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
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<u>Trigonometry</u>

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

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Leg <em>a</em> = <em>a</em>

Leg <em>b</em> = 12

Hypotenuse <em>c</em> = 20

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

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  3. [Subtraction Property of Equality] Isolate <em>a</em> term:                                           a² = 256
  4. [Equality Property] Square root both sides:                                                    a = 16
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