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RoseWind [281]
3 years ago
6

If (5,-12) is a point on the terminal side of an angle θ, find the value of sin⁡θ, cos⁡θ, and tan⁡θ.

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

Answer:

Given point (5,-12) falls into IV quadrant

<u>The right triangle with legs of 5 and -12, and hypotenuse is:</u>

  • √5² + (-12)² = √25+144 = √169 = 13

<u>Value of sin⁡θ, cos⁡θ, and tan⁡θ:</u>

  • sin⁡ θ = -12/13
  • cos ⁡θ = 5/13
  • tan⁡ θ = -12/5

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297 words in 5.5 minutes ? im confused again
Vedmedyk [2.9K]

Answer:

The unit rate of 297 words for 5.5 minutes is, 54 words per minutes

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5 0
3 years ago
A coin is tossed 11 times. a) How many different outcomes are possible? b) How many different outcomes have exactly 8 heads? c)
larisa86 [58]

Answer:

a) 2048

b)164

c)54

d) 11

Step-by-step explanation:

a) A coin has two faces.

Outcome possible =2^11= 2048

b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways

c)2 heads outcome= 11!/2!8!= 39716800/725760=54

d) 7 heads= 11!/7!6! =39716800/3628800 = 11

5 0
3 years ago
Read 2 more answers
In order to play in chess tournaments at the Marshall Club, Malik pays a fee to become a member. In addition, he pays a set rate
Keith_Richards [23]

Answer:

p = 22.50 + 15t

Step-by-step explanation:

For Malik :

Membership fee = m

Rate per tournament = t

After 4 tournaments :

m + 4t = 85 - - - (1)

After 7 tournaments :

m + 7t = 130 - - - (2)

Subtract 2 from 1

4t - 7t = 85 - 130

-3t = - 45

t = 45 / 3

t = 15

Put, t = 15 in (1)

m + 4(15) = 85

m + 60 = 85

m = 85 - 60

m = 25

Massai pays 10% less membership fee than Malik

Hence, Massai's membership fee:

(100 - 10)% * 25

0.9 * 25 = $22.50

Total price, p, Massai will pay to compete in t tournaments ;

Total price = membership fee + (rate per tournament * number of tournaments)

p = 22.50 + 15t

3 0
3 years ago
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
marishachu [46]

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

6 0
3 years ago
What is the volume of the storage bin?
Harman [31]

Answer:

Step-by-step explanation:

volume = 180 * 9

volume = 1620 in³

5 0
3 years ago
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