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2 years ago

9

Find f (3)for f () = 5* - 12. 3 57 113 125

1 answer:

emmainna [20.7K]2 years ago

3 0

Answer:

113

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 5ˣ - 12

f(3) is x = 3

<u>Step 2: Evaluate</u>

Substitute in <em>x</em>: f(3) = 5³ - 12
Exponents: f(3) = 125 - 12
Subtract: f(3) = 113

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Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro

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Answer:

$Side\ B = 6.0$

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Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with $\alpha, \beta, \theta$

[See Attachment for Triangle]

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$C = 12cm$

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Take Square root of both sides

$\sqrt{B^2} = \sqrt{36.153903093}$

$B = \sqrt{36.153903093}$

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$A^2 = B^2 + C^2 - 2BCCos\alpha$

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$100 = 36 + 144 - 144 *Cos\alpha$

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Subtract 180 from both sides

$100 - 180 = 180 - 180 - 144 *Cos\alpha$

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Divide both sides by -144

$\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}$

$\frac{-80}{-144} = Cos\alpha$

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Take arccos of both sides

$Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)$

$Cos^{-1}(0.5555556) = \alpha$

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Make $\theta$ the subject of formula

$\theta = 180 - 86.3$

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