If 90° < θ < 180° and cscθ = 3, then cotθ = _____.

Answers

Answer 1

[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]


Related Questions

35 devide 28 with decimals pls help ​

Answers

Answer:

1.25

Step-by-step explanation:

The answer in decimal is 1.25

35/28= 1.25

= 35 ÷ 28

by 1

=35 - 28 = 7

Introducing decimals

= 70 to 28

by 2

= 70 - 56 = 14

adding zero to 14

= 140 to 28

by 5

= 140 - 140 =0

the answer is 1.25

I did it this way through division hope you'll understand. All the best.

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

at the vertex x = 4.5

Step-by-step explanation:

hope this helps! :)

Answer:

at the vertex x = 4.5

Step-by-step explanation:

Which term of the AP 21, 18, 15 ...... is -81 ?​

Answers

Given AP is 21 ,18,15,...

First term = 21

Common difference = 18-21 = -3

Let an = -81

We know that

an = a+(n-1)d

⇛21+(n-1)(-3) = -81

⇛ 21-3n+3 = -81

⇛24-3n = -81

⇛ 24+81 = 3n

⇛ 105= 3n

⇛ n = 105/3

⇛ n = 35

35th term of the AP is -81.

also read similar questions: Which term of a AP 5 , 13 , 21 ,... is 181?

https://brainly.com/question/2406241?referrer

Which term of the AP:3, 8, 13, 18,...,is 78?

https://brainly.com/question/15380012?referrer

In the figure, what would be represented by c^2

A the sum of the lengths of legs a + b

B the area of the rectangle with diagonal

c the length of the hypotenuse of the triangle

D the area of a square constructed on the hypotenuse

Answers

Answer:

D

Step-by-step explanation:

We can go through each answer to see if it's right

A

In a right triangle, with c opposite the right angle, we know that

a²+b² = c²

The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect

B

The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of

a²+b² = c² and this is incorrect

C

The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0

D

The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct

Help I need help solving this!

Answers

Answer:

Step-by-step explanation:


8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9

2 x 10 *-9

2 x 10-*_•-3

Answers

Answer:

[tex]\huge\boxed{2\times10^3}[/tex]

Step-by-step explanation:

[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]

Used:

[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]

Solve the equation :

In(5-x) = In5 - Inx,

giving your answers correct to 3 significant figures.

Answers

[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]

Answer:

x1 = 3.618, x2 = 1.382

Step-by-step explanation:

ln(5-x) = ln5 - lnx

ln(5-x) + ln(x) = ln5

ln(5x-x^2) = ln5

5x-x^2=5

0=x^2-5x+5

x = -(-5)±√((-5)²-4(1)(5)) / 2(1)

x = 5±√(25-20) / 2

x = 5±√5 / 2

x1 = 3.618, x2 = 1.382

Which of the following correctly shows the quotient of 75 divided by 5

Answers

Answer:

answer is when u will multiply 5 with 15 then u will got your answer

just kidding answer is 75

so 75 is quotient

but have written which of the following ( in the question)

so where is the options .

A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?

Answers

Answer:

There must he a circulation. May not be causation.

What is the value of y?

Answers

Answer:

80° because 50° 60° 70° and 80°

Evaluate the expression
[3(15+4)2 +2(20+5)2]0
0
5
1
2

Answers

0, 5, 5, 1, 2

is evaluate

Which expression is equivalent to w • 35?

Answers

Answer:W= B-3 or 3=B-W

Step-by-step explanation:

The answer would be equal to W=b-3 +W=b

What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?

Answers

Answer:

I believe it would be 9/2 !

Step-by-step explanation:

Enter the number that belongs in the green box

Answers

Answer:

128 degrees

Step-by-step explanation:

Opposite interior angles

The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.

Answers

Answer:

9 and 21

Step-by-step explanation:

setting up the equation

let x and y represent the two numbers

this means that x + y = 30

x - y = 12

using substitution to solve

if x - y = 12, that can be rearranged to x = y + 12.

substitute x = y + 12 into x + y = 30

you get (y + 12) + y = 30

simplify

2y + 12 = 30

2y = 18

y = 9

plug this into the original equation x + y = 30. this would be

x + 9 = 30

x = 21

the numbers are 21 and 9.

What is the probability of rolling a number greater than 1?
Type a fraction

Answers

Step-by-step explanation:

A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,

[tex]\dfrac{5}{6}[/tex]

The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished. Which type of function best models the relationship between the number of days and the inventory remaining? A. a linear function with negative slopes

Answers

y = -2.8x +69.4

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4

5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise

Answers

Answer:

5.32

Step-by-step explanation:

it had a more exact reading than the others

What does y= -3x+3 equal

Answers

Answer:

Solving for x, the answer is x = 1 - y/3

Hope this helps :D

Answer:

Step-by-step explanation:

y= -3x+3 is the equation of a straight line with slope -3 and y-intercept 3. The x-intercept is found by letting y = 0 and solving for x:  x = 1.

y= -3x+3 can be re-written in "standard form:"  3x + y = 3.

1. The total amount of what you eam during the pay period before taxes and deductions are taken out is known as what?
Wage
Net pay
Salary
Gross pay

Answers

Answer:

net pay if im not mistaking

Step-by-step explanation:

Which is the equivalent of 0.00000000989 in proper scientific notation?

Answers

Answer:

  9.89×10^-9

Step-by-step explanation:

  0.000 000 009 89 = 9.89×10^-9

__

We have introduced spaces in the number to make the digits easier to count. (Some technical publications will write the number with thin spaces for just that reason.) The most-significant digit is in the 9th place to the right of the decimal point, so has a place value of 10^-9.

Help me please i really need it​

Answers

Answer is    35:25:81

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

Explanation:

The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.

We have:

50 red70 green42 yellow50+70+42 = 120+42 = 162 total

The ratio of green to red to total is 70:50:162

To reduce the ratio, we divide all three parts of that ratio by the GCF 2

70/2 = 3550/2 = 25162/2 = 81

The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.

This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.

John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?

Answers

10% of $3250 would be $325 of commission

Can someone help me??

Answers

Answer:

The answer is B

Step-by-step explanation:

The answer is b
Explanation

Prime number after

167, 118, 82, 57, 41, ?

Answers

Prime numbers after 167, 118, 82, 57, 41, are:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2

Prime numbers are numbers that only have two factors, 1, and themselves.

Apart from these factors, no number can divide them without a remainder.

By observation, the numbers 167, 118, 83, 57, 41, are written in descending order.

This means that the prime number to be chosen will be lesser than 41

Prime numbers lesser than 41 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

Learn more on prime numbers here: https://brainly.com/question/145452

At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks

Answers

Answer:

A=15 inches. B=h=5+2.5w inches

Step-by-step explanation:

Our starting height is 5 inches.

It grew at a constant rate of 2.5 inches per week.

A. How tall after 4 weeks?

Well, we can solve by making an equation.

height=5inches+2.5(x)

In this situation, x is 4.

Height will be 15 inches.

B. This is just asking for the equation.

We already did that in part a!

We just need to switch x out with w.

h=5+2.5w

Consider the sequence: -7, -2, 3, 8…. What is f(7)?

Answers

You are adding by 5 in the sequence.
If f(1) is -7
f(2) = -2
f(3)= 3
f(4)=8
f(5)=13
f(6)=18
Therefore, f(7)=23

Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters

Answers

Answer:

In a period of time of 24 hours...

Step-by-step explanation:

In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha

which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)

Answers

Answer:

B

Step-by-step explanation:

The mass of 100 tins of corned beef is 34 g. What is the mass, in grams (g), of 1 tin of corned beef?

Answers

Answer:

solution

100 tins of corned beef =36 g

1 tin of corned beef = 36÷100=0.36

so, 1 tin of corned beef is 0.36 g.

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