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vova2212 [387]
2 years ago
14

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

es where appropriate. If there is no solution, enter NO SOLUTION.)
A). (tan(x) − 4)(9 sin^2(x) − 1) = 0

B). 3 sin(2x) − 4 sin(x) = 0
Mathematics
1 answer:
Serhud [2]2 years ago
3 0

Answer:

Step-by-step explanation:

A)(tanx-4)(9sin^2x-1)=0\\\\\\

9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3} or sinx=\frac{-1}{3}

OR    tanx=4\\

B)

3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}

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Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees
Mazyrski [523]
\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =30
\end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi
6 0
3 years ago
Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or
natka813 [3]

Step-by-step explanation:

The given inequality is :

-27\ge \dfrac{1}{2}(6x-12)

Solving RHS of the inequality:

-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)

Adding 6 both sides of the inequality

-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7

The attached figure shows the graph for the given inequality.

7 0
3 years ago
Please help me with this!
Igoryamba

Answer:

1: 39,284

2: 58,672.8

3: 2,066.79153912

4: 183.801664976

5: 8,744,119.16410

Those are the answers to the problems now you can just determine which ones are from least to greatest

7 0
3 years ago
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Hey I have a link to the question since its kinda complicated
Natalija [7]
Anyway

so the recursive rule tells the relationship between the previous term and the term we want to find

given

an=2n+11
it is clear that the first term is 13
2nd term is 15
3rd term is 17

each term increases by 2
so
a term is equal to the previous term plus 2
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the first one is the answer
8 0
3 years ago
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What is the area of the figure ?
nlexa [21]

Answer:

70 cm^2

Step-by-step explanation:

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The total area is 50+20=70 cm^2

6 0
3 years ago
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