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bearhunter [10]
3 years ago
5

How do you evaluate sin(13π/12)?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0

Recall the double angle identity,

sin^2(x) = (1 - cos(2x))/2

If we let x = 13pi/12, then

sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]

where we took the negative square root because we expect a negative value.

Now, because cosine has a period of 2pi, we have

cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2

Then

sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]

sin(13pi/12) = - sqrt[2 - sqrt[3]]/2

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What point is not included in the solution set for the inequality (0,6) (1,5) (2,4) (3,2) ​
Setler79 [48]

Answer:

(3, 2)

Step-by-step explanation:

To be considered part of a solution set for the inequality provided, a given point must lie within the shaded region that is graphed. Since we want to find the point that is <em>not</em> included in the solution set for the inequality, we need to find the point that does <em>not</em> lie in the shaded region.

Let's test each point to see which doesn't lie in the region. Refer to the image below if you're having trouble graphing the points:

  • (0, 6): This point lies in the shaded region, so it is not our answer.
  • (1, 5): This point lies in the shaded region, so it is not our answer.
  • (2, 4): This point lies in the shaded region, so it is not our answer.
  • <u>(3, 2): This point </u><u><em>does not</em></u><u> lie in the shaded region, so it is our answer.</u>

<u></u>

Hope this helps!

7 0
1 year ago
NEED THIS ASAP <br> Find QA.<br> A.4<br> b.-4<br> c.16<br> d.28
stich3 [128]

Answer:

d. 28

Step-by-step explanation:

7<em>x</em> = 3<em>x</em> + 16

subtract 3<em>x</em> from both sides: 4<em>x</em> = 16

divide both sides by 4: <em>x</em> = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

3 0
3 years ago
£396 in the ratio 5:4 <br> help please
ArbitrLikvidat [17]

Answer:

5 : 4 10 : 8 15 : 12 20 : 16 25 : 20

30 : 24 35 : 28 40 : 32 45 : 36 50 : 40

55 : 44 60 : 48 65 : 52 70 : 56 75 : 60

80 : 64 85 : 68 90 : 72 95 : 76 100 : 80

105 : 84 110 : 88 115 : 92 120 : 96 125 : 100

130 : 104 135 : 108 140 : 112 145 : 116 150 : 120

155 : 124 160 : 128 165 : 132 170 : 136 175 : 140

180 : 144 185 : 148 190 : 152 195 : 156 200 : 160

205 : 164 210 : 168 215 : 172 220 : 176 225 : 180

230 : 184 235 : 188 240 : 192 245 : 196 250 : 200

255 : 204 260 : 208 265 : 212 270 : 216 275 : 220

280 : 224 285 : 228 290 : 232 295 : 236 300 : 240

305 : 244 310 : 248 315 : 252 320 : 256 325 : 260

330 : 264 335 : 268 340 : 272 345 : 276 350 : 280

355 : 284 360 : 288 365 : 292 370 : 296 375 : 300

380 : 304 385 : 308 390 : 312 395 : 316 400 : 320

405 : 324 410 : 328 415 : 332 420 : 336 425 : 340

430 : 344 435 : 348 440 : 352 445 : 356 450 : 360

455 : 364 460 : 368 465 : 372 470 : 376 475 : 380

480 : 384 485 : 388 490 : 392 495 : 396 500 : 400

Online Ratio Solver

Use this online tool to solve for the unknown value in the proportion.

4

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3

=

1440

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d

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What is a Ratio?

A contrast, which exists between two particular numbers, is defined as ratio. Our ratio calculator is developed to compute this contrast and find out the relationship between these numbers.

How to Calculate Ratios

In order to keep numbers in direct relation you should first divide or multiply, which depends on your task, them in the ratio. Therefore, a ratio of 8/6 is an equivalent ratio of 4/3: in that particular ratio calculation, you should just multiply 4, as well as 3, by 2.

Y

6 0
2 years ago
Help!!
bixtya [17]
Coin flip is 1/2 
2 numbers are less than 3 so 2/6 = 1/3 

1/2 * 1/3 = 1/6 probability total

240 x 1/6 = 40
 answer is B) 40

5 0
3 years ago
Yesterday Mrs. Lichtman drove 121 miles in 2 hours. Today she drove 3.5 hours at the same rate as yesterday. About how far did s
podryga [215]

Answer:

211.75 miles

Step-by-step explanation:

121 miles = 2 hours

divide both sides by two to get the distance per hour

60.5 miles = 1 hour

multiply both sides by 3.5 to figure out the distance

60.5 (3.5) = 1 (3.5)

211.75 miles = 3.5 hours

4 0
3 years ago
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