If sin t = -8/17 and t is a quadrant III angle, find cot t

If Sin T = -8/17 And T Is A Quadrant III Angle, Find Cot T

Answers

Answer 1

Answer:cot t = 1.875

[tex]sin t=\frac{-8}{17}[/tex] but sin²t + cos²t = 1 ⇔ cos²t = 1 - sin²t

⇔cos t = [tex]\sqrt{1-sin^{2}t }=\sqrt{1-(\frac{-8}{17})^{2} }=|\frac{15}{17}|[/tex]

but  t is a quadrant III angle => cos t = [tex]\frac{-15}{17}[/tex]

=> cot t = [tex]\frac{-15}{17}:\frac{-8}{17}=\frac{15}{8}=1.875[/tex]

Step-by-step explanation:


Related Questions

A medical researcher needs 37 people to test the effectiveness of an experimental drug. If 101 people have volunteered for the test in how many ways can 37 people be selected

Answers

Answer:

The number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Step-by-step explanation:

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]

Compute the number of ways to select 37 people from 101 as follows:

[tex]{101\choose 37}=\frac{101!}{37!\cdot (101-37)!}[/tex]

        [tex]=\frac{101!}{37!\times 64!}\\\\=\frac{101\times 100\times 99\times....64!}{37!\times 64!}\\\\=5397234129638871133346507775[/tex]

Thus, the number of ways to select 37 people from 101 is, 5,397,234,129,638,871,133,346,507,775.

Paris and seven of her classmates went out to lunch. They decided to divide the bill evenly. Each person paid $6.36. What was the total bill?

Show or explain your work.

Answers

Answer: $50.88, assuming they don’t pay tax, including Paris

Step-by-step explanation: 6.36 x 8 = 50.8k

Answer: $.50.88

Because each of her clasmates are gonna pay $6.36 each.

How many right handed players are there?

Answers

Answer:

there are 30 right-handed players on the team

Sales tax is 7.25%. If Liz buys the game system for $245.65, how much will Liz spend altogether?
Unmute your mic and "meow" to show that you need to round to the nearest cent.

Answers

It would be $263.46, you just need to multiply the cost with itself and the sales tax as a percentage, 1.0725 ( the cost ) = the total value

The following graphs show the performance of two stocks over the first five months of the year. A graph titled Stock A B C has month on the x-axis, from 0 to 6, and price on the y-axis, from 0 to 40 in increments of 13.33. A line has points (1, 20), (2, 24), (3, 25), (4, 29), (5, 30). A graph titled Stock X Y Z has month on the x-axis, from 0 to 6, and price on the y-axis, from 20 to 32 in increments of 4. A line has points (1, 20), (2, 24), (3, 25), (4, 29), (5, 30). Which graph appears to show the best performance? Which scale makes the graph appear to be rising more slowly? a. Stock XYZ shows the best performance. The scale of Stock ABC makes the graph appear to be rising more slowly. b. Stock ABC shows the best performance. The scale of Stock ABC makes the graph appear to be rising more slowly. c. Stock XYZ shows the best performance. The scale of Stock XYZ makes the graph appear to be rising more slowly. d. Stock ABC shows the best performance. The scale of Stock XYZ makes the graph appear to be rising more slowly.

Answers

Answer:

C) Stock XYZ shows the best performance. The scale of Stock XYZ makes the graph appear to be rising more slowly.

Step-by-step explanation:

i did this question on my test, from reading the graph, i am almost certain this is the answer. correct me if i am wrong!

Answer:

B)

Step-by-step explanation:

B because the  Stock XYZ shows the best performance. The scale of Stock ABC makes the graph appear to be rising more slowly.

what must be added to -3/8 to get 5/16 ?

Answers

Answer:

[tex]\frac{11}{16}[/tex]

Step-by-step explanation:

[tex]-\frac{3}{8}[/tex] + x = [tex]\frac{5}{16}[/tex]

x = [tex]\frac{5}{16}[/tex] - ( [tex]-\frac{3}{8}[/tex] ) = [tex]\frac{5}{16}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{5 + 6}{16}[/tex] = [tex]\frac{11}{16}[/tex]

x = [tex]\frac{11}{16}[/tex]

-3/8=5/16

put x after -3/8 to find 5/16

-3/8+x=5/16

find x

move -3/8 to the other side

sign changes from -3/8 to 3/8

-3/8+3/8+x=5/16-3/8

x=5/16-3/8

find the common denominator which is 16

multiply by 2 for -3/8

(-3)(2)=-6

(8)(2)=16

x= 5/16--6/16

negative sign and negative sign= +positive sign

x= 5/16+6/16=11/16

answer: x=11/16


what is the constant ​

Answers

Answer:

I have no clue but whatever it is it is

Step-by-step explanation:

puebes the knife go chop chop chop

solve the following equation for x 0.5(x-8)=0.2x+11

Answers

Answer:

X=50

Step-by-step explanation:

Answer:

10.50 Decimal form

Step-by-step explanation:

7 less than one fourth of x is y

Answers

I thinkkkkkkkkk .......

Please help me, please

Answers

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[tex] - 5 \: \: and \: \: 3[/tex]

Look :

[tex] - 5 + 3 = - 2[/tex]

[tex] - 5 \times 3 = - 15[/tex]

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Answer:

-5 and 3

Step-by-step explanation:

because -5 + 3 = -2 and -5 X 3 = -15.

-5 is bigger in -5 + 3 so your answer would be negative.

and for the multiplication on use the sleeping dog - - + you have a negative and a positive so the answer would be negative.  

What is the mean?
3 0 4 7 0 4 5 3 6 8

Answers

Step-by-step explanation:

3+0+4+7+0+4+5+3+6+8/10

40/10

4

Answer:

The mean is 4.

Step-by-step explanation:

When you add 3+0+4+7+0+4+5+3+6+8 you get 40 and because there are 10 numbers you would divide 40 by 10 and get 4.

Mean-the average of all of the numbers in a data set...to find the mean you simply add all of the given numbers together and then divide that sum by the total amount of numbers given, then you will get your mean.

HOPE THIS HELPS!!!!!!!

I WILL MARK BRAINIEST
please answer question 2 it shows the answer I got wrong so don’t choose that one

Answers

Answer:

C

Step-by-step explanation:

They are similar triangles as all 3 angles are same

Answer:

C. The triangles are similar

Step-by-step explanation:

Similar means same figure/shape but not the same size, congruent is exactly the same. We can see that the two triangles are similar in shape, and if u want to go that fat, they have the same angles too. But they're not the same size so they are similar.

Find the surface area of the pyramid

Answers

Answer:

47.97

Step-by-step explanation:

l Base length  

4

w Base width  

4

h Pyramid height  

3.46

A local orange grower processes 2,330 oranges from his grove this year. The oranges are packaged in crates that each holds 96 oranges. All but one crate is full. How many oranges are in the last crate?

Answers

Answer:

13

Step-by-step explanation:

Given parameters:

Number of oranges processed by grower  = 2330 oranges

Number of oranges per crate  = 96

Unknown:

Number unpacked oranges

Solution:

To solve this problem, divide the total number of oranges by the number of oranges per crate;

  Number of unpacked oranges  = [tex]\frac{2330}{96}[/tex]  

  Number of unpacked oranges  = 24 [tex]\frac{13}{48}[/tex]  

The remaining unpacked is 13.

Kaya had a string 6 1/8 inches long. She cut off a piece 2 3/4 inches long. How long is the remaining piece of string? Show your work. Write your answer as a mixed number.

Answers

Answer: 3 3/8

Step-by-step explanation:

We know that for example 2/4=4/8 so it is multiplied by 2. In this problem the fractions are 2 2/4 and 6 1/8. We are subtracting so you would first multiply the fraction that’s going to subtracted from the other fraction 2 3/4= 2 6/8. Now that we have our fractions we can subtract 6 1/8-2 6/8 this would leave us with 3.375 which is equal to 3 3/8.

Answer:

3 3/8

Step-by-step explanation

If you take away 2 3/4 from 6 1/8 it would equal 3 3/8 how you get that answer I'm not really sure but I used google 0_0 but there you go I hope it helped-

can you help me here plz

Answers

Answer:

Your answer is B

Step-by-step explanation:

[tex]\sqrt{-81} =\sqrt{81i^{2} } or 9i.\\[/tex]

Hope this helps :D

Answer:

Step-by-step explanation:

√-81 = 9i

Since the root is a negative, you need the i in the answer

find the HCF of the following by
Pime factorisation.
a) 72,54,27
b) 24, 16, 36​

Answers

Answer:

a) 9

b) 4

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

a.9

b.4

Step-by-step explanation:

Hope it helps u....

HELP ME PLEASE! how do you write 0.0370 as a scientific notation

Answers

The answer is 3.7 × 10-2
Hope that helped

Kelvin bought a package of 1000 Jolly Ranchers. The package contains 5 flavors. 25% of the candies are red and pink. The remaining are green, purple, and blue.


Select all the statements that are true.



75% of the candies are green, purple, and blue.

The package does not contain an equal percentage of each color candy.

Kelvin has 250 red and pink candies.

The number of red and pink candies are the same as green, purple, and blue candies.
Kelvin has 700 green, purple, and blue candies.

Answers

Answer:

The package does not contain an equal percentage of candy

75% of the candies are green purple and blue

This was fun lol.

Hope this helped :)

Find the value of x.
(3x - 2)°
(10x - 11)
(3x + 1)
X=

Answers

Multiply the expressions.
90
x
3

129
x
2
+
13
x
+
22

Uh yes I’m sorry I am just trying to get answers

Given the figure below, find the measure of​

Answers

Answer:

x = 23.125°

Step-by-step explanation:

∠ACF = ∠GCB (vertically opposite angles)

3x + 5x - 5 = 180° (angles on a straight line are supplementary)

8x = 185°

x = 23.125°

This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Alewuya invests a total of $29,000 in two accounts paying 15% and 6% annual interest, respectively. How
much was invested in each account if, after one year, the total interest was $2,685.00. $__was invested at 15% and
$__ invested at 6%.

Answers

2,523 is your investment for 15%
1,611 will be your investment for the 6%

Given AABC with coordinates A(-4,-2), B(-1,1) and C (-2,3)
what would be coordinates of AA'B'C' after a rotation of 180° ?

Answers

Answer: 15

15-15 = 0

10-10=0

daniel watched a beetle and a spider on the sidewalk. the beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard how much farther did the beetle crawl than the spider

Answers

Answer:

2 yards

Step-by-step explanation:

The beetle crawled 3 times more than the spider crawled.


What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that daniel watched a beetle and a spider on the sidewalk. the beetle crawled 1/2 of a yard and the spider crawled 1/6 of a yard.

The beetle crawled how many times is calculated as:-

Beetle crawled  = ( 1 / 2 ) ÷ (1 / 6) x Spider crawled

Beetle crawled = 3 x Spider crawled

Therefore, the beetle crawled 3 times more than the spider crawled.

To know more about an expression follow

https://brainly.com/question/23991488

#SPJ6

Which of the following is equivalent to 5(3x+2)

Answers

Answer:

what are the options?

Step-by-step explanation:

u need to add the optiona plz

If Martha and Howard are 5 hours into the marathon, how far has each person run?

Answers

Answer:

omg how dum r u the answer is 23 JK its 10

Step-by-step explanation:

PLEASE HELP ME
Solve for x
3x-91> -87 or 21x−17>25
Choose 1 answer:


(Choice A)
A
x> 2

(Choice B)
B
x>4/3


(Choice C)
C
4/3
(Choice D)
D
There are no solutions

(Choice E)
E
All values of x are solutions

Answers

Answer:

The first expression's answer is -1.33. The second one is 2.

Please help me out with this question please

Answers

Answer:

A

Step-by-step explanation:

It isn’t because if you do the vertical line test and try to put vertical lines all throughout the graph, two dots will touch the same line.

PLS ANSWER FAST I WILL MARK THE BEST ONE BRAINLIEST PLS

Which of the following is equivalent to 4x^2+4xy+y^2 ?
A) 4(x^2+y^2)
B) 4(x+y)^2
C) 2(x+y)^2
D) (4x+y^)2
E) (2x+y)^2

Answers

Answer:

E

Step-by-step explanation:

if we decidedly factor this expression-

4x^2+4xy+y^2

= (2x)^2 + 2*2xy + y^2

= (2x + y)^2

as you can see it is a perfect square so it can be grouped into (2x+y)^2

hence your solution is option e

Your answer is: E. (2x+y)^2

Find the slope of the following graph and Identify the type of
Slope:

Answers

Answer:

the slope is undefined

Step-by-step explanation:

in the slope equation rise/run you can't divide by 0

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