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tatiyna
3 years ago
14

Use an inverse function to write θ as a function of x.

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \frac{opposite}{adjacent} = \frac{x}{3} , then

θ = arctan \frac{x}{3} → C

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Step-by-step explanation:

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3 years ago
-36x - 24 ≤ -6(5x + 12)​
puteri [66]

Answer:

x ≥ 8

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

-36x - 24 ≤ -6(5x + 12)

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

  1. Distribute -6:                         -36x - 24 ≤ -30x - 72
  2. Add 36 on both sides:         -24 ≤ 6x - 72
  3. Add 72 on both sides:          48 ≤ 6x
  4. Divide both sides by 6:         8 ≤ x
  5. Rewrite:                                  x ≥ 8

Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.

6 0
3 years ago
At the school festival ,heather can buy 25 game tickets for 10 dollars, or she can pay 0.50 cent per game ticket.whick option ha
irga5000 [103]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Find the equation of a line with a slope 3 that includes the point (0,5)
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Answer:

B

Step-by-step explanation:

We want to find the equation of a line with a slope of 3 that includes the point (0, 5).

We can use the slope-intercept form, given by:

y=mx+b

Where m is the slope and b is the y-intercept.

Notice that the given point (0, 5) is already the y-intercept. So, b = 5.

By substitution, we acquire:

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Hence, our answer is B.

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3 years ago
Read 2 more answers
Which reaction displays an example of an Arrhenius base?
vekshin1

Answer:

NaOH(s) --> Na+(aq) + OH–(aq)

Step-by-step explanation:

A basis of Arrhenius is a substance that, when dissolved in an aqueous solution, increases the concentration of hydroxide, or OH-, ions in the solution.

So the answer is :

NaOH(s) --> Na+(aq) + OH–(aq)

8 0
4 years ago
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