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kvv77 [185]
2 years ago
5

Solve the right angle trig problem.

Mathematics
1 answer:
Lisa [10]2 years ago
6 0

Answer:

x = 40.7057°

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

<u>Trigonometry</u>

  • [Right Triangle Only] sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We have a right triangle. We can use trig to find the angle.

<u>Step 2: Identify Variables</u>

Angle = <em>x</em>

Opposite = 15

Hypotenuse = 23

<u>Step 3: Find Angle </u><em><u>x</u></em>

  1. Substitute:                    sinx° = 15/23
  2. Inverse:                         x° = sin⁻¹(15/23)
  3. Evaluate:                       x = 40.7057°
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Answer:

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Step-by-step explanation:

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The formula to calculate the amount credited =

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The perimeter of GHJ
Dafna1 [17]
They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
11 + 14 + 17 = 42
Then apply the scale factor of 5:6:
\frac{5}{6}  =  \frac{x}{42}
Set the denominators equal:
\frac{35}{42}  =  \frac{x}{42}
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If f(x) = x + 4 and g(x)=x^2-1, what is m(g o f)(x)?
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Until now, given a function  f(x), you would plug a number or another variable in for x. You could even get fancy and plug in an entire expression for x. For example, given  f(x) = 2x + 3, you could find f(y2 – 1) by plugging y2 – 1 in for x to get f(y2 – 1) = 2(y2 – 1) + 3 = 2y2 – 2 + 3 = 2y2 + 1.

In function composition, you're plugging entire functions in for the x. In other words, you're always getting "fancy". But let's start simple. Instead of dealing with functions as formulas, let's deal with functions as sets of (x, y) points:

Let f = {(–2, 3), (–1, 1), (0, 0), (1, –1), (2, –3)} and  

let g = {(–3, 1), (–1, –2), (0, 2), (2, 2), (3, 1)}.  

 

Find (i) f (1), (ii) g(–1), and (iii) (g o f )(1).

(i) This type of  exercise is meant to emphasize that the (x, y) points are really (x, f (x)) points. To find  f (1), I need to find the (x, y) point in the set of (x, f (x)) points that has a first coordinate of x = 1. Then f (1) is the y-value of that point. In this case, the point with x = 1 is (1, –1), so:

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Read 2 more answers
A population of 200 animals is decreasing by a rate of .96 per year . At this rate, in how many years will the population be les
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At the end of the zeroth year, the population is 200.
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Now, we need to know when the population will be less than 170.

So, 170 ≤ 200(0.96)ⁿ
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Let 17/20 = 0.96ⁿ, first.
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Artyom0805 [142]

\boxed{x=12 \ and \ x=2}

<h2>Explanation:</h2>

In this exercise, we have the following equation:

x^2-14x+49=25

We can write this Quadratic Equation in Standard Form as follows:

x^2-14x+49=25 \\ \\ Subtract \ 25 \ from \ both \ sides: \\ \\ x^2-14x+49-25=25-25 \\ \\ x^2-14x+24=0 \\ \\

So this is a Non-perfect Square Trinomial. To factor out this, let's choose two numbers such that:

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Those numbers are:

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So we can write this as:

x^2 + (a + b)x + ab=(x + a)(x + b) \\ \\ a=-12 \\ b=-2 \\ \\  x^2-14x+24=(x-12)(x-2)=0 \\ \\ So \ the \ solutions \ are: \\ \\ \boxed{x=12 \ and \ x=2}

<h2>Learn more:</h2>

Quadratic Ffrmua: brainly.com/question/10188317

#LearnWithBrainly

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