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Charra [1.4K]
3 years ago
7

Keisha and David each found the same value for cosine theta, as shown below, given Sine theta = Negative StartFraction 8 Over 17

EndFraction. Keisha’s Solution David’s Solution Tangent squared theta + 1 = secant squared theta. StartFraction sine squared theta Over cosine squared theta EndFraction + 1 = StartFraction 1 Over cosine squared theta EndFraction. StartFraction (eight-seventeenths) squared Over cosine squared theta EndFraction + 1 = StartFraction 1 Over cosine squared theta EndFraction. (eight-seventeenths) squared + cosine squared theta = 1. cosine theta = plus-or-minus StartRoot 1 minus StartFraction 64 Over 289 EndFraction EndRoot. cosine theta = plus-or-minus Fifteen-seventeenths sine squared theta + cosine squared theta = 1. cosine squared theta = 1 minus (negative eight-seventeenths) squared. cosine theta = plus-or-minus StartRoot StartFraction 225 Over 289 EndFraction EndRoot. Cosine theta = plus-or-minus fifteen-seventeenths Whose procedure is correct? Keisha’s procedure is correct. David’s procedure is correct. Both procedures are correct. Neither procedure is correct.
Mathematics
2 answers:
AURORKA [14]3 years ago
8 0

Answer:

C) Both procedures are correct

Step-by-step explanation:

1 + tan²(theta) = sec²(theta)

And

cos²(theta) = 1 - sin²(theta)

Are both valid identities

monitta3 years ago
8 0

Answer:

c) both are correct

Step-by-step explanation:

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Answer:

12x

Explanation:

3x − 10 + 2x + 3x + x + 20 + 2x + 10 + x − 20

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Combine Like Terms

= 3x + −10 + 2x + 3x + x + 20 + 2x + 10 + x + −20

= (3x + 2x + 3x + x + 2x + x) + (-10 + 20 + 10 + −20)

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Sara drinks 4 cups of milk per day. She buys 3 quarts of milk. How many days will her 3 quarts of milk last?
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3 years ago
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If j(x) = x4 - 81, and k(x) = x + 3 then j(x) k(x) =
Bad White [126]
Hi there!
The question here is asking us to multiply two functions together - j(x) and k(x). First, we need to determine the expressions for j(x) and k(x). Since this is given, we can move straight onto multiplying the two functions together, which will give us our answer.
j(x) × k(x)
Substitute expressions - 
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What is the solution to 4<br> ***25-79<br> ΧΣ- 12<br> ΧΣ 12<br> Ο χK12<br> Ο χ4 - 12
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Answer:

\displaystyle x \leq 12

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

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

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle -\frac{3}{4}x + 2 \leq -7<u />

<u />

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

  1. [Subtraction Property of Equality] Isolate <em>x</em> term:                                           \displaystyle -\frac{3}{4}x \leq -9
  2. [Division Property of Equality] Isolate <em>x</em>:                                                         \displaystyle x \leq 12

Here we see that any value <em>x</em> smaller than or equal to 12 would work as a solution to the inequality.

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3 years ago
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