According to a study, 68 out of 100 people enjoyed the movie. What percentage of people did not enjoy the movie?

Answer:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Step-by-step explanation:

Given

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

[tex]\theta \to[/tex] Quadrant III

Required

Determine [tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

We have:

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

We know that:

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

This gives:

[tex]\sin^2(\theta) + (-\frac{2}{3})^2 = 1[/tex]

[tex]\sin^2(\theta) + (\frac{4}{9}) = 1[/tex]

Collect like terms

[tex]\sin^2(\theta) = 1 - \frac{4}{9}[/tex]

Take LCM and solve

[tex]\sin^2(\theta) = \frac{9 -4}{9}[/tex]

[tex]\sin^2(\theta) = \frac{5}{9}[/tex]

Take the square roots of both sides

[tex]\sin(\theta) = \±\frac{\sqrt 5}{3}[/tex]

Sin is negative in quadrant III. So:

[tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

Calculate [tex]\csc(\theta)[/tex]

[tex]\csc(\theta) = \frac{1}{\sin(\theta)}[/tex]

We have: [tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

So:

[tex]\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}[/tex]

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}[/tex]

Rationalize

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]

[tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

So, we have:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)[/tex]

Substitute: [tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}[/tex]

Take LCM

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Answer:

here is your correct answer dude

Answer:

I Think B.

Step-by-step explanation:

Im Not But CARRY ON LEARNING

Answer:

288

Step-by-step explanation:

32 = 2 × 2 × 2 × 2 × 2

8 = 2 × 2 × 2

18 = 2 × 3 × 3

12 = 2 × 2 × 3

LCM(32, 8, 18, 12)

= 2 × 2 × 2 × 2 × 2 × 3 × 3

= 288

Answer:

c. it is not a solution to either equation

Step-by-step explanation:

let me know if this is incorrect

Answer:

Median #1: 10.5

Q1 #1: 5.5

Q3 #1: 19

IQR #1: 13.5

Median #2: 14

Q1 #2: 3

Q3 #2: 45

IQR #2: 42

Step-by-step explanation:

Question 1:

First order the data so that they are in order from least to greatest:

2, 5, 6, 8, 13, 16, 22, 24

Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.

2, 5, 6, 8, 13, 16, 22, 24

/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/

In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.

(8+13)/2 = 10.5

To find the first quartile, find the median of all values below the median.

2, 5, 6, 8

/2/, /5/, /6/, /8/

The median of these values is the average of the center two, so

(5+6)/2 = 5.5

The third quartile is the median of all values above the median.

13, 16, 22, 24

/13/, /16/, /22/, /24/

The median of those values is the average of the center two as well, so

(16 + 22)/2 = 19

The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)

Q3 - Q1

19 - 5.5

IQR = 13.5

Question 2:

Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.

1, 3, 7, 14, 21, 45, 63

/1/, /3/, /7/, 14, /21/, /45/, /63/

The center value is 14, so the median is 14.

The first quartile can be found by finding the median of all values below the median.

1, 3, 7

/1/, 3, /7/

The first quartile is 3.

The third quartile can be found by finding the median of all values above the median.

21, 45, 63

/21/, 45, /63/

The third quartile is 45.

The interquartile range can be found using the equation from above.

Q3 - Q1

45 - 3

The interquartile range is 42.

Answer:

point B

Step-by-step explanation:

isolate the x to solve for x:

=> x = 1 - [tex]\frac{3}{4}[/tex]

=> x = [tex]\frac{1}{4}[/tex]

point B=> the half of [tex]\frac{1}{2}[/tex] is [tex]\frac{1}{4}[/tex]=> [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

√9=3

√25=5

5+3=8

Step-by-step explanation:

this is the solution if i understand it correctly

Answer:

About 4

because

3.74 rounded is 4

Answer:

229

Step-by-step explanation:

All the angles of a 4 sided shape add up to 360 degrees.

So if you add 99 and 32 together, then subtract the answer from 360, you get 229.

Answer:

B)   7 5/10

Step-by-step explanation:

9-2 is 7

7/10 - 2/10 is 5/10

7 + 5/10 = 7 5/10

Answer:

B

Step-by-step explanation:

I think...

Answer:

Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.

Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3

Whatever be total  number of songs, let the number of techno songs, country songs,and jazz songs be  4 x,  2 x, and  3 x.

Total number of songs that Mekala plans to Listen = 2 70

Then , 4 x + 2 x + 3 x= 270

9 x = 270

Dividing both sides by 9, we get

x = 30

So, Number of techno songs = 4 × 30= 120

Number of techno songs = 2 × 30= 60

Number of jazz songs = 3 × 30= 90

Option (b) b) Close to 60 country songs but probably not exactly 60 country songs  ,is true option regarding number of songs listen by Mekala.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

-27/5 or -5 2/5

Step-by-step explanation:

Simplify

1 2/7 to 9/7

-4 1/5 to -21/5

multiply together

(9)(-21)/(7)(5)

-189/35

u can simplify by diving by 5 to get

-27/5

Answer:

∠EPH = 107°

Step-by-step explanation:

∠EPH is an angle formed by two intersecting chords.

arc FG and arc EH are the arcs ∠EPH intercepts.

The relationship between an angle formed by intersecting chords and their intercepted arcs is that the angle is equal to half the sum of its intercepted arcs.

Which means that ∠EPH = 1/2 ( arc FG + arc EH )

If arc FG = 120° and arc EH = 94°

Then ∠EPH = 1/2 ( 120 + 94 )

120 + 94 = 214

214 / 2 = 107

Hence, ∠EPH = 107°

Answer:

8

Step-by-step explanation:

1/2*4*4*1=8

The probability is 5/11 as a fraction, about 45%, and/or 0.45 as a decimal.

Probability formula: Possible values/ Favorable values

Step 1: add the possible values: 4 + 2 + 1 + 5. This is equal to 12 possible options.

Step 2: Since Alica pulled out a red shirt, there will be 11 possible options (12-1 shirt = 11 possible options)

Step 3: Since we are expecting a blue shirt and there are 5 blue shirts, there is a 5/11 chance. Hope this helps!

Step-by-step explanation:

It is 340 dollars in total, I do this in an ubcenventional way of dividing 272 by 80 which gave you 3.4 which is equal to one percent and then multiply that by 20 which is 68 and add that to the other 80 percent of her bill to get 340 dollars

Answer:

7.07 i believe since 10 divided by 2 sqr root is 7.07, and AC and CA are equal

Step-by-step explanation:

Step-by-step explanation:

for AC

[tex]sin(45) = \frac{x}{10} [/tex]

rearrange and solve for x

[tex]10sin(45) = x[/tex]

then do the same process with BA

Answer:

-13, 0.4,7 its the 4th one

Step-by-step explanation:

Answer:

your answer is -2

Step-by-step explanation:

Hope helps

:3

Step-by-step explanation:

18+3=x+3

21=x+3

x=21-3

x=18

Answer:

The first one is the right answer go go go

Answer:

The third one

Step-by-step explanation:

x-5y=6

x-5y+5y=6+5y

x=5y+6

Answer:

the question is incomplete for the answer fam

Step-by-step explanation:

the question is incomplete

Answer:

Your answer for the question is 38

Answer:

16.96hrs or 1017.6mins

Step-by-step explanation:

24 / 8 = 4.8

212 x 4.8 = 1017.6 mins

16.96 hours

Answer:

z y                                      x

Step-by-step explanation:

i dk

Answer:

X, Z, Y

Step-by-step explanation:

We can use the theorem that "opposite to the smallest angle lies the shortest side."

[tex]180 - 47 - 35 = 98[/tex]

Against the angle with 98 degrees, the biggest angle, lies the longest side, y.

Against the angle with 35 degrees, the smallest angle, lies the shortest side, x.

So, we have the order:

x, z, y

Answer:

B. 18x - 6

Step-by-step explanation:

3(8x - 4) - 6x + 6

24x - 12 - 6x + 6

18x - 12 + 6

18x - 6

Answer:

The measure of B would be 60 degrees

Step-by-step explanation:

add me as a friend if i am right

Answer:

t=6

r=3√ 2

Step-by-step explanation:

30,60,90 triangle so hypotenuse = 2 x small side. In this case the small side is 2 so 2x3=6. Long side is equal to small side times √ 2. Therefore, it will be  3√ 2.

If this helps please mark as brainliest