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2 years ago

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

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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>

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

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7. Given the following information, calculate, in order, the amount credited and the outstanding balance.

svp [43]

Answer:

C. $824.74, $175.26

Step-by-step explanation:

1) Amount Credited

The formula to calculate the amount credited =

Amount paid ÷ ( 100% - Discount)

Discount is given in the question as 3/10

Where 3 = Discount rate

Amount paid = $800

Amount credited = 800/( 100% - 3%)

= 800/ 97%

= 800/ 0.97

= $824.74

b) Outstanding balance = Invoice - Amount credited

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5 0

3 years ago

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:
$\frac{35}{42} = \frac{x}{42}$
So we see that the perimeter of GHJ is 35.

6 0

3 years ago

If f(x) = x + 4 and g(x)=x^2-1, what is m(g o f)(x)?

Andreas93 [3]

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:

8 0

3 years ago

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

mojhsa [17]

At the end of the zeroth year, the population is 200.
At the end of the first year, the population is 200(0.96)¹
At the end of the second year, the population is 200(0.96)²
We can generalise this to become at the end of the nth year as 200(0.96)ⁿ

Now, we need to know when the population will be less than 170.

So, 170 ≤ 200(0.96)ⁿ
170/200 ≤ 0.96ⁿ
17/20 ≤ 0.96ⁿ
Let 17/20 = 0.96ⁿ, first.
log_0.96(17/2) = n

n = ln(17/20)/ln(0.96)
n will be the 4th year, as after the third year, the population reaches ≈176

7 0

3 years ago

Find soluton to x^2-14x+49=25

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:

The sum is -14
The product is 24

Those numbers are:

-12 and -2
SUM: -12-2 = -14
PRODUCT: (-12)(-2)=24

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

6 0

2 years ago