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Ivahew [28]
3 years ago
11

find the point on the terminal side of θ = negative three pi divided by four that has an x coordinate of negative 1

Mathematics
1 answer:
Mila [183]3 years ago
4 0
Check the picture below, is a negative angle, thus, is going "clockwise"

\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{x}\implies  tan\left( -\frac{3\pi }{4} \right)=\cfrac{y}{-1}
\\\\\\
-1\cdot  tan\left( -\frac{3\pi }{4} \right)=y\implies -1\cdot \cfrac{sin\left( -\frac{3\pi }{4} \right)}{cos\left( -\frac{3\pi }{4} \right)}=y
\\\\\\
-1\cdot \cfrac{-1}{-1}=y\implies -1

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Find the exponential generating function for the number of alphanumeric strings of length n n formed from the 26 26 uppercase le
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Answer:

the answer is contained in the attachment

Step-by-step explanation:

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5 0
3 years ago
PLEASE HELP
kolbaska11 [484]

Answer:

  • a) P(x) = 32000*1.04^x
  • b) $37435
  • c) During year 7

Step-by-step explanation:

<u>Given</u>

  • Initial pay = $32000
  • Increase rate = 4%

a. <u>Formula</u>

  • P(x) = 32000*1.04^x

b. Year 5 is after 4 years, so we are looking for the value of P(4)

  • P(4) = $32000*1.04^4 = $37435

c. <u>P(x) = 40000, x = ?</u>

  • 40000 = 32000*1.04^x
  • 1.04^x = 40000/32000
  • 1.04^x = 1.25
  • log 1.04^x = log 1.25
  • x = log 1.25 / log 1.04
  • x = 5.69, this is 6 years after

The required number of the years is 6 + 1 = 7

3 0
3 years ago
Chris can be paid in one of two ways. Plan A is a salary of ​$490 per​ month, plus a commission of ​9% of sales. Plan B is a sal
skad [1K]

Answer:

$390+0.07s=$544+0.05s Subtract $390 from each side.

0.07s=$154+0.05s Subtract 0.05s from each side.

0.02s=$154 Divide each side by 0.02.

s=$7700 Both plans pay the same when sales=$7700

ANSWER With sales greater than $7700, Chris is better off with Plan A.

5 0
3 years ago
Pls answer<br><br> Y’all are awesome thx
Vilka [71]

Answer: 12a.) slope is 125, y-intercept is 50 (started at 50 ft)

12b.) f(3) = 425 feet

12c.) 3.6 hours

Step-by-step explanation:

12a.) The slope equation is y = mx+b, where m is the slope, and b is the y intercept.

12b.) to find f(3) you could either plug it into the equation given (125x+50) or pretend there is a vertical line at 3 on the x axis, and where it crosses the line given would be the answer.

12c.) He is climbing a 500 ft cliff, and according to the graph, it takes him 3.6 hours to do it. Another way to find this answer would be to find f(3.6), which is indeed 500 ft.

Hope this helps!

3 0
3 years ago
Geometry math question no Guessing and Please show work
WITCHER [35]

Answer: Choice A) 15 feet

=====================================

x = length of fourth side in quadrilateral ABCD

Have a look at the attached image I've posted. I made a chart that lines up the side lengths from largest to smallest. Note how the first two items in the bottom row are blank. We don't know these values and we don't need to find out in order to find x.

Based on the last two columns of that table, we can form the proportion below, which is then used to isolate x.

30/12 = x/6

30*6 = 12*x ... cross multiply

180 = 12*x

12*x = 180

x = 180/12 ... divide both sides by 12

x = 15

5 0
3 years ago
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