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faltersainse [42]
2 years ago
7

Please proved explanation for answer.

Mathematics
1 answer:
Semenov [28]2 years ago
8 0

Answer:

inverse it and do fx and gx inverse its value

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Complete the statements.
spayn [35]

Answer:

1. 30

2. 150

Step-by-step explanation:

3tan^2(x)-1 =0

Lets assume tan(x) = u

3u^2(x)-1 =0

Now we solve for 'u'

add 1 on both sides

3u^2(x) =1, divide both sides by 3

u^2 = \frac{1}{3}

Take square root on both sides

u = +-\frac{1}{\sqrt{3} }

We replace tan(x) for 'u'

tan(x) = +-\frac{1}{\sqrt{3} }  

x = 30 because tan(30) =+\frac{1}{\sqrt{3} }  in first quadrant

      x = 30      (tan is positive in first quadrant)

tan(x) =-\frac{1}{\sqrt{3} }                                                    

  x = 150 because tan(150) =-\frac{1}{\sqrt{3} }  in second quadrant

     tan is negative in second quadrant




4 0
3 years ago
Which of the following is equivalent to log 7^ 50 rounded to three decimal places?
otez555 [7]
7^50
= 1.798 × 10^42

i am a mathematics teacher. if anything to ask please pm me
4 0
3 years ago
If 150 empty water bottles weigh 4.5 pounds what do you expect 90 water empty bottles to weigh?
MakcuM [25]
It's 2.7 pounds because I set up a proportion of 150 over 90 = 4.5 over X and multiplied 90 * 4.5 divided by 150
6 0
3 years ago
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If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
vladimir2022 [97]

if its diameter is 14, then its radius is half that or 7.

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}

3 0
2 years ago
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I WILL GIVE BRAINLIEST<br> Find the measure of two complementary angles
spin [16.1K]

Answer:

Two angles are Complementary when they. add up to 90 degrees (a Right Angle ). These two angles (40° and 50°) are Complementary Angles, because they add up to 90°: Notice that together they make a right angle .

Step-by-step explanation:

3 0
2 years ago
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