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kumpel [21]
3 years ago
13

Solve the equation on the interval [0, 2pi): 12cos^2 x-9=0 What to do?

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Answer:

\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}}

Step-by-step explanation:

12\cos^2x-9=0\qquad\text{add 9 to both sides}\\\\12\cos^2x=9\qquad\text{divide both sides by 12}\\\\\cos^2x=\dfrac{9}{12}\\\\\cos^2x=\dfrac{9:3}{12:3}\\\\\cos^2x=\dfrac{3}{4}\to\cos x=\pm\sqrt{\dfrac{3}{4}}\\\\\cos x=\pm\dfrac{\sqrt3}{2}\\\\\text{Look at the picture}\\\\x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\ \vee\ x=\dfrac{11\pi}{6}

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Mr. Patel’s house is 1,850 ft 2 . He tiles 30% of the house on the first day. He tiles 185 ft 2 each day after that. How many mo
Black_prince [1.1K]

Step-by-step explanation:

Tile A $9.75

Tile BTiles are $11 per tile if fewer than 50 tiles are purchased. For 50 or more tiles, tiles are $9.50 per tile.

Tiles are purchased by the box

Tile C There are 24 tiles per box. Each box is $185.

3 0
2 years ago
Read 2 more answers
CJ = 3x + 6,<br> CT = 37, and<br> JT = 3x + 7<br> Find JT.
GrogVix [38]

Answer:

JT=19

Step-by-step explanation:

3x+6+3x+7=37

6x+6+7=37

6x+13=37

    -13  -13

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6x/6=24/6

x=4

3x+7

3(4)+7

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3 0
3 years ago
If you know the rate of a water leak in gallons per hour, how can you find the number of hours it takes for 1 gallon to leak out
marusya05 [52]
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5 0
3 years ago
Mary got a sales job at her father's company. She was paid $9 per hour plus a 5%commission on her sales. Last week sheworked 40
horsena [70]

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Step-by-step explanation:

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5 0
2 years ago
Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.
mr Goodwill [35]

Answer:

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Given equations:

   y = 3x + 2

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Solving both equations will yield the values of x and y;

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   y = 3x + 2    ----- (i)

   y = -2x - 8   ------ (ii)

Using substitution method, input equation i, into ii

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Collect like terms and solve;

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Then put x = -2 into i, to find y

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So, the solution of the equation is B. (-2,-4)

6 0
2 years ago
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