If csctheta=11/4 & tan Thea< 0 Use the fundamental identities to evaluate cottheta.

Answers

Answer 1

Answer:

[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]

Step-by-step explanation:

Fundamental identities:

These following trigonometric identities are used to solve this question:

[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]

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

[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]

With the cossecant, we can find the sine. So:

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

[tex]\frac{11}{4} = \frac{1}{\sin{\theta}}[/tex]

[tex]11\sin{\theta} = 4[/tex]

[tex]\sin{\theta} = \frac{4}{11}[/tex]

With the sine, we find the cosine.

Since the tangent is negative, the cosine is negative. So

[tex]\sin^{2}{\theta}+\cos^{2}{\theta} = 1[/tex]

[tex](\frac{4}{11})^{2} + \cos^{2}{\theta} = 1[/tex]

[tex]\frac{16}{121} + \cos^{2}{\theta} = \frac{121}{121}[/tex]

[tex]\cos^{2}{\theta} = \frac{105}{121}[/tex]

[tex]\cos{\theta} = -\frac{\sqrt{105}}{11}[/tex]

Cotangent:

[tex]\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}}[/tex]

[tex]\cot{\theta} = \frac{-\frac{\sqrt{105}}{11}}{\frac{4}{11}}[/tex]

[tex]\cot{\theta} = -\frac{\sqrt{105}}{11}[/tex]


Related Questions

Find the measure of angle b (15

Answers

Answer:

Angle b is 15 measure the scale

f(x) =2x squared - 5x - 3 g(x) = x squared + 6x - 1 what is h(x), if h(x) = g(x) - f(x)

Answers

Answer:

-2x^2 + x^2 +11x +2

Step-by-step explanation:

f(x) = 2x^2-5x -3

g(x) = x^2 + 6x -1

h(x) = g(x) - f(x)

x^2 + 6x -1 - 2x^2 +5x +3

-2x^2 + x^2 +11x +2

Help pls?????? With both !

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Answer:

the answer could be 100 metre

The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.

Answers

Step-by-step explanation:

i think its X=2.75

Help solve inequality

Answers

Answer:

n ≥ -95

Step-by-step explanation:

[tex]\frac{n}{-5}[/tex]  -4 ≤ 15    

[tex]\frac{n}{-5}[/tex] ≤ 19             add 4 to 15

n ≥ -95            multiple -5 to 19; sign flips when multiplying or dividing an inequality

Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.

Answers

Answer:

[tex]x=\frac{18}{7}[/tex]

Step-by-step explanation:

what is 3/12 divided by 7

Answers

3/12 is 0.25.
0.25/7 is 0.035714

Step-by-step explanation:

the answer is 3/84 hope this helps but btw the answer isn't simplified so if u want simplified ask

who want's to do my homework? :D Also this might get deleted cause brainly is out to get me D:
Simplify the following rational expression. Use absolute value symbols when needed.

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

1. [tex]\sqrt[3]{\frac{8}{216} }[/tex]

2. [tex]\sqrt[3]{\frac{1}{27} }[/tex]

3. [tex](\frac{1}{27})^{\frac{1}{3} }[/tex]

3. Since [tex](\frac{1}{3}^{3})[/tex] is [tex]\frac{1}{27}[/tex], the answer should be [tex]\frac{1}{3}[/tex].

Find the unit rate of 624 calories in 3 servings. Its 8th grade math.

Answers

The answer is 208 calories per serving

Answer:

you can look up the exact quizizz your taking and find all the answers

Step-by-step explanation:

for example: look up your question on the quizizz and then type it in the search bar and add quizziz to the end of it and you should find all your answers there<3

find the value of x that makes lines u and line v parallel, help!!

Answers

Answer:

We are told they are parallelHence 10x+16+5x+14=18015x+30=180 15x=150x=10

s
is inversely proportional to
t
.
When
s
=
0.3
,
t
=
8

Work out
s
when
t
=
0.4

Answers

Answer:

s inversely proportional 1/t

s=0.3, t=8

s=k/t

0.3=k/8

k=0.3×8

k=2.4

find s when t=0.4

s=2.4/0.4

s=6.0 or 6

PLS HELP!!! due to inflation nominal prices are usually there were to demand increases. After the second increase the price for a certain item was twice as big as the original. By what percent was the first increase, if the second increase was 25%

Answers

Answer:

The first increase was of 60%.

Step-by-step explanation:

The initial value of the product is x.

The first increase was of y.

The second increase is of 25%, that is, 1.25.

The final price was double the original, so 2x.

This situation can be modeled by the following equation:

[tex]xy(1.25) = 2x[/tex]

We want to find y.

Simplifying by x

[tex]1.25y = 2[/tex]

[tex]y = \frac{2}{1.25}[/tex]

[tex]y = 1.6[/tex]

After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.

Please help I need this to pass. Please

Answers

Answer:

Step-by-step explanation:

1. Longest side = hypontenuse   shorter sides = legs

2.  x=-2

3. Something in data that differs significanttly from the other data.

how are you not knnow this

2) -2, checked

3) a data point on a graph or in a set of results that is very much bigger or smaller than the next nearest data point.

i have no idea on the fist one, sorry, but hope the rest helped

A community garden center host a plant giveaway every spring to help community members start there gardens. Last year the give away supported 50 families by giving away 150 plants. Based on this ratio hawa many plants will they give away this year in order to support 65 families

Answers

Answer:

195 plants (verified) ✅

Step-by-step explanation:

We will use a proportion to solve this.

x/y = x/y

let x = the number of families in each case

let y = the number of plants in each case

Since we don't know the second y, we will leave that as y and solve for it.

50/150 = 65/y

Cross-multiply

50y = 9750

Divide

195  = y

Now, we can check this by substituting the value of y back into the equation and seeing if both sides equal.

50 (195) = 9750

9750 = 9750 ✅

One quart of milk costs $1.05 and 1 gallon of milk costs $3.89. Which is a better buy? Explain.

Answers

There’s 4 quarts in a gallon and the cost of 1 gallon ($3.89) divided by 4 is .97 cents. Which is less than the cost of 1 quart. Therefore buying the gallon is a better buy.

which letters show the function rising?
A) A
B) E
C) A and E
D) A, B, and E

Answers

Answer:

c) a and e

Step-by-step explanation:

literally look at it b is just highest point, c is decreasing, d is lowest point... a is rising and e is also rising

Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)

Answers

Answer: 2/4=1/2

Step-by-step explanation: 4-2=2. 7-3=4

Answer:

1/2

Step-by-step explanation:

4-2=2

7-3=4

2/4

Which is the measure of ∠XYZ?

Answers

Answer:

you get the measure of angle XYZ by adding the measures of angles XY? and ZY?

70 +35 = 105 degrees is the measure of angle XYZ

Anyone know the answer?

Answers

Answer:

5 feet = 152.4 centimeters      10 inches =25.4

Step-by-step explanation:

I learned from my classes of how to convert feet to centimeters and etc.

152.4,25.4 hope this works

What is the value of x^6+y^2x 6 +y 2 x, start superscript, 6, end superscript, plus, y, squared when x=1x=1x, equals, 1 and y=11y=11y, equals, 11?

Answers

Try 122.

Step-by-step explanation:

Since x = 1, x^6 = 1.

Since y = 11, 11^2 = 121.

1 + 121 = 122.

So, the value of x ^ 6 + y ^ 2 = 122.

Answer:82

Step-by-step explanation:

What is the image of (−8,−8) after a dilation by a scale factor of 1/2 centered at the origin?

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.

-8 × 1/2 = -4

plz hellp me plzzzzzzzzzz​

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Answer:

3n+6

Step-by-step explanation:

Determine whether the figures are similar.

Answers

Answer:

you don't have enough information, you would need one of the long lengths on the smaller parallelogram to determine similarity

Step-by-step explanation:

probably not enough info, have a good day!! stay safe

1. Grace rode her bike 5 miles in 20 minutes. At this rate, how many miles can she ride her bike in 30 minutes? *
plz help and explain
2. Of the 50 players in a school band, 12% play a woodwind instrument. How many players play a woodwind instrument? * Both different questions

Answers

Answer:

14

Step-by-step explanation:

add the stuff together

A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.

Answers

Answer:

B is the better detergent

Step-by-step explanation:

If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.

The two laundry detergents B cleans better.

Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.

Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.

Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).

Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.

Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.

Hence, Out of the two laundry detergents, B cleans better.

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Farmer Bill sold potatoes at the farm market. He sold a quarter to the first person, 4/9 of what was left to the second person, and the third buyer bought 4/5 of what was left and the last 10 lb. How many pounds of potatoes did farmer Bill sell?

Answers

Answer:

Farmer Bill sold 120 lb of potatoes

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]

Thus:

[tex]\frac{1}{12}x=10[/tex]

x = 120 lb

Farmer Bill sold 120 lb of potatoes

The Farmer will sold 120 lb of potatoes.

Let us consider that farmer have x lb of potatoes.

He sold a quarter to the first person, that is  [tex]\frac{x}{4}[/tex]

Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]

4/9 of what was left to the second person,

 Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]

the third buyer bought 4/5 of what was left

       that is,          [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]

Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]

Since, Potatoes left = 10 lb

So,   [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]

Thus, The Farmer will sold 120 lb of potatoes.

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https://brainly.com/question/2785554

PLEASE HELP WILL MARK BRAINLIEST AND GIVE 20 POINTS!!!

A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid. What is the shape of the cross-section.

A Trapezoid
B Triangle
C Rectangle
D Cylinder

Answers

Answer:

I feel like it might or might not be rectangle because it didn't pass through the vertex so it's almost like it's cutting off the top part of the pyramid.

Answer: Trapezoid

Step-by-step explanation:

I just did the test and got 100

What separates the terms in this algebraic expression?

x + 3
HELPP MEEE

Answers

Answer:

I believe its the + symbol that separates it?

G**gle confirmed it I was right!!

Which inequality describes all the solutions to -5x + 6 < 2(-3 − x)?

Answers

Answer: x>4

Step-by-step explanation:

The solution set for the given inequality is {-2, -3, -4, -5, -6,.......}.

The given inequality is 5x + 6 < 2(-3 - x).

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality can solved as follows:

5x + 6 < 2(-3 - x)

Multiply 2 to the bracket

5x + 6 < -6 - 2x

Add 2x to both the sides of inequality

5x + 6 + 2x < -6 - 2x + 2x

⇒7x+6<-6

Subtract 6 to both the sides of inequality

7x+6-6<-6-6

⇒7x<-12

Divide 7 to both the sides of inequality

7x/7<-12/7

⇒x<-12/7

⇒x<-1.7

Solution set = {-2, -3, -4, -5, -6,.......}

Therefore, the solution set for the given inequality is {-2, -3, -4, -5, -6,.......}.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ2

the integers -10 and 10 are=​

Answers

Answer:

Opposites of each other?

Step-by-step explanation:

I am not sure, the only thing that is not making them equal to each other is that they have opposite signs.

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