Use a calculator to solve the following equation for θ on the interval [−π2,π2]. csc(θ)=−5 Select all correct answers.

Answers

Answer 1

[tex]csc(\theta )=-5\qquad -\frac{\pi }{2}<\theta <\frac{\pi }{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=-5\implies \stackrel{\textit{using the reciprocal of } csc(\theta )}{\cfrac{1}{sin(\theta )}=-5}\implies \cfrac{1}{-5}=sin(\theta ) \\\\\\ sin^{-1}\left( -\frac{1}{5} \right) = sin^{-1}[sin(\theta )]\implies sin^{-1}\left( -\frac{1}{5} \right) = \theta \implies \begin{array}{llll} -11.54^o\\ ~\hfill or\\ 348.46^o \end{array} \approx \theta[/tex]

Answer 2

The value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

cosec(θ)=−5 for interval [−π/2,π/2].

We know Sinθ=1/cosecθ

Cosecθ=1/sinθ

Now cosec(θ)=−5

-5=1/sinθ

sinθ=-1/5

θ=sin⁻¹(1/5)

θ=sin⁻¹(1/5)

θ=-11.54⁰ or 348.86⁰

Hence the value of θ is -11.54⁰ or 348.86⁰ for cosec(θ)=−5 for interval  [−π/2,π/2].

To learn more on trigonometry click:

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Related Questions

5(x+6)-8x=3(10-x)n no solution, one solution, or all real numbers are solutions

Answers

Answer:

Infinite, any number

Step-by-step explanation:

Simplify

30 - 3x = 30 - 3x

Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can prepare?
Group of answer choices

18

12

6

3

Answers

Answer: 6

Step-by-step explanation:

18/2=6=12/2

Answer:

6

Step-by-step explanation:

She could put 3 carrots on each plate: 18/3=6. And 2 baby potatoes on each plate: 12/2=6. So, she can make a maximum of 6 plates of veggies. Hope this helps. :D

You are a prisoner sentenced to death. The emperor (who has sentenced you) offers you a chance to live by playing a simple game. He gives you 10 black marbles, 10 white marbles, and 2 empty bowls. He then says, "Divide these 20 marbles into these 2 bowls. You can divide them any way you like as long as you place all the marbles in the bowls. Then I will blindfold you, and ask you to choose a bowl, and remove ONE marble from that bowl you have chosen. You must leave the blindfold on the entire time, and must remove the first marble you touch. If the marble is white you will live, but if the marble is black, you will die."

————
Please help?

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Answer:

YeYEYEyYEEeeeeeeeeeeeeeeeeeeeeEE

Step-by-step explanation: kinda sounds like that epesode from squid game episode 7 i think

1 + 1? (just for fun!)

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Answer:

equal 11

Step-by-step explanation:

:>

hmmm wonder what else it would be

The equilateral triangle with side 12 has altitude

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Answer:

C

Step-by-step explanation:

The high temperatures for the first five days in December were as follows 28, 3, -2, -4 and 12. What is the average temperature.

Answers

Answer:

28 +3 +2+4+12=49

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Which of the following statements is most correct? Select one:
a. Other things equal, the higher the dividends, the lower the stock price.
b. Other things equal, the investment holding period does not affect the stock price.
c. Other things equal, the higher the required rate of return, the higher the stock price. d. Other things equal, the higher the dividend growth rate, the lower the stock price.
e. Other things equal, the lower the market value of debt, the lower the value of equity.

Answers

Answer:a

Step-by-step explanation:

the answer is a because it is

Sara has only nickels in her hand, and David has exactly the same
number of dimes and no other coins. Together, they have a total of $1.05. How many nickels does Sara have? How many dimes does David have? Show your work
using numbers, labeled sketches, or words.

Answers

Sara: Nickels: 7 nickels
David: Dimes: 7 dimes

Vhich number line represents the solution of 4x - 9> -21?

Answers

Answer:4x -9 >= -21

4x >= -12

x >= -12/4

x >= -3  

so this number line started with -3 and go away till + infinity  

hope this will help you

Step-by-step explanation:


If Damien works for 10 hours each week and he made $123.60
for the week, how much was he making per hour?

Answers

Answer:

12.36

Step-by-step explanation:

Answer:

1 hour = $12.36

Step-by-step explanation:

10 hours = $123.60

=> 10/10 hours = 123.60/10

=> 1 hour = $12.36

Hoped this helped.

Solve
-14 - 7
A. -21

B. -7

C. 7

D. 21

Answers

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

Write the equation of the line passing through points (-1,1) and (1,1).

Answers

Answer: x+1

Step-by-step explanation:

Answer:

Try x+1

Step-by-step explanation:

Hope it helps

Simplify the linear expression.

−23a+18−16a−34

Answers

Answer:

-39a - 16 is not the answer, it's -5/6a - 5/8

Step-by-step explanation:

Took the test and got it incorrect.

Answer:

-5/6a - 5/8

Step-by-step explanation:

There is a massive difference between -2/3a & -23a.

Same goes for 1/8 & 18, -1/6a & -16a, and -3/4 & -34.

My earlier answer, -39a - 16, IS correct for the question you wrote. What was incorrect was the question.

It is important to write the question properly because

−23a+18−16a−34

and

−2/3a+1/8−1/6a−3/4

will have very different answers.

In conclusion, make sure you write your question correctly. It's unfair to others genuinely trying to help who then are blamed for supplying the "wrong answer" by others who also copied and pasted from their school work.

If you had written, −2/3a+1/8−1/6a−3/4, then the answer would be -5/6a - 5/8.

whats the answer can someone answer please​

Answers

Answer:

21. 2x + 28

22. 18a - 17b

23. He flipped the numerator and denominator, 6.4 with 7.2 and he added the exponents instead of subtracting.

24. 8.8888888888889 × 10^{0}

Step-by-step explanation:

(10 points!!!) AND I’LL MAKE YOU BRAINLEST

I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!

The answer is ( Jose, $901.31 more)

Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?


Use the table below to answer:

Answers

Answer:Jose will make 901.31 more

Step-by-step explana

What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
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Answers

Answer:

-3 ,-4

Step-by-step explanation:

Answer: ( 3 , -4)

Step-by-step explanation:

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Which of the functions represents a function? ​

Answers

Answer:

B.

Step-by-step explanation:

im not sure to my answer(●'◡'●)

PLEASE HELP WITH THE FOLLOWING

Answers

Answer:

2a:

[tex]a^6+\frac{64}{125} =(a^2)^3+(\sqrt[3]{\frac{64}{125} })^3[/tex]

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[tex]x^3+y^3=(x+y)(x^2-xy+y^2)[/tex]

Therefore,

[tex](a^2)^3+(\sqrt[3]{\frac{64}{125} })^3=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+(\frac{4}{5} )^2)[/tex]

[tex]=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+\frac{16}{25} )[/tex]

---------------------------------------------

2b:

[tex]16x^8-y^4=(4x^4)^2-(y^2)^2[/tex]

Now, we can apply the difference of two squares formula that goes:

[tex]x^2-y^2=(x+y)(x-y)[/tex]

Therefore,

[tex](4x^4)^2-(y^2)^2=(4x^4+y^2)(4x^4-y^2)[/tex]

You can apply the difference of two squares formula again:

[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)((2x^2)^2-y^2)[/tex]

[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)(2x^2+y)(2x^2-y)[/tex]

Jorge bikes to school each day. If he can travel 33 miles in 11 hours, how fast does he travel in one
hour?
Write a symbolic expression using division that represents this problem.
Calculated Answer:
miles per hour

Answers

33 miles divided by 11 hours will give you the mile per hour traveled.

Answer: 3 miles per hr

helpp pls

4 pairs of shoes cost $80. What is the cost of 7 pairs of shoes ?
A
$130
B
$150
C
$145
D
$140

Answers

Answer:

D. 140

Step-by-step explanation:

4 / 80 = 20

20 * 7 = 140

therefore, 140 is the answer

Answer:

140

Step-by-step explanation:

write an equation of the line with a slope of -8 and a y-intercept of 2

Answers

Answer:

y = -8x + 2

Step-by-step explanation:

A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

PLEASR HELP REWARDING A LOT

Answers

Answer:

(6, 10)

Step-by-step explanation:

You found (6, 4)

The second would be

(6, 10) making BD || to CA

Alguém me ajuda pfv rápido

Answers

Answer:

9.72

Step-by-step explanation:

1.8 x 1.8 x 3 = 9.72

Evaluate.



(1/5) −1 ⋅ 4^0



0


1


5


20

Answers

Answer:

-1519 4/5

-1519.8

-7599/5

Step-by-step explanation:

(1/5) - 1 • 4^0
(1/5) - 1 • 1
(1/5) -1
(1/5) -1/1
(1/5) - (5/5)
(1-5/5)
-4/5

how do I do 2÷834



Fourth grade​

Answers

Answer:

I honestly don't know why you are on this if your in 4th grade because this is for middle, high, and college school kids.

The answer is anyways 417

Answer:

2 divided by 834 is 1/417 or 417

Step By Step Explanation:

Why is a fourth-grader even on a website for middle, high school, and college...

Which expression can be placed on the right side of the equals sign to form an equation. 2+33=

Answers

Answer:

7x.

Step-by-step explanation:

2 + 33 = 7x

35 = 7x

Solution is x = 5.

Answer: 5² + 4

Step-by-step explanation:

if Vera is 3 times as old as Zoe and 2 times as old as Paul. And the sum of their ages is 33. what is Zoe's age?​

Answers

Answer:

Zoe is 6 years old.

Step-by-step explanation:

Vera - V

Zoe - Z

Paul - P

V = 3Z

Z = [tex]\frac{1}{3}V[/tex]

V = 2P

P = [tex]\frac{1}{2}V[/tex]

V + Z + P = 33

[tex]V + \frac{1}{3}V + \frac{1}{2}V = 33[/tex]

[tex]\frac{6}{6} V + \frac{2}{6}V + \frac{3}{6}V = 33[/tex]

[tex]\frac{11}{6}V = 33[/tex]

[tex]V = 33 * \frac{6}{11}[/tex]

[tex]V = 3 * \frac{6}{1}[/tex]

[tex]V = 18[/tex]

V = 3Z

18 = 3Z

Z = 6

How can you prove a triangle is a right triangle? (4 points)

a
Use the distance formula to see if at least two sides are congruent.

b
Use the slope formula to see if any sides are perpendicular.

c
Use the distance formula to see if all three sides are congruent.

d
Use the slope formula to see if any sides are parallel.

Answers

Answer:

a

Use the distance formula to see if at least two sides are congruent.

Step-by-step explanation:

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle


2 (3m + 1)²
Expand and simplify

Answers

2 (3m+1)^2

2(9m^2 +6m+1)

Final answer
18m^2+12m+2

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write an equation with a slope of 2 and a constant of -5

Answers

y=mx+b

m is the slope, b is the constant.

y=2x-5
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