given that cot(θ)= -√5/3 and cos(θ) < 0, find sin(θ)

Given That Cot()= -5/3 And Cos() &lt; 0, Find Sin()

Answers

Answer 1

D. 3√14 /14

Step-by-step explanation:

given that cot(θ)= -√5/3 and cos(θ) < 0

cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.

cot(θ)= -√5/3 => x = -√5 , y = 3

h = √(-3)²+5 =√14

so, sin(θ) = y/h = 3/√14 = 3√14 /14


Related Questions

someone please help me!!

Answers

Answer:

y= -3x+5

Step-by-step explanation:

It's kind of hard to see but I'm going to assume it looks like

y-2=(1/3)(x-1)

Let's start by converting this into slope-intercept form

y-2=x/3-1/3

y=x/3+2/3

One line is perpendicular to another line if their slopes are negative reciprocals of each other

our slope now is 1/3  which means its negative reciprocal is -3

so we have

y= -3x+b

Plug in the required coordiante to solve for b

2= -3(1)+b

2= -3+b

b= 5

put it together to get

-3x+5

Ranking correct answer brainliest :)

Answers

Answer:

115

Step-by-step explanation:

angle DEF is an inscribed angle and arc DF is the arc it intercepts

if you didn't know an inscribed angle is equal to half the measure of the arc it intercepts

Hence angle DEF = 1/2 of arc DF

If arc DF = 230 then angle DEF = half of 230 or 230/2

230/2=115

Hence angle DEF = 115

There are 48 students in a speech contest. Yesterday, 2/3 of them have their speeches. Today, 7/8 of the remaining students give their speeches. How many students still haven't given their speeches?

Answers

Answer:

2 students

Step-by-step explanation:

Given that

There are 48 students out of which 2 by 3 have their speeches and the remaining of 7 by 8 give their speeches

We need to find the no of students who haven't given their speeches

So,

= 48 × 2 ÷ 3

= 32

Now

= (48 - 32) × 7 ÷ 8

= 14

So, the no of students still haven't given their speeches is

= 48 - 32 -14

= 2 students

At the frozen yogurt shop, Colin pays $3.28 for his treat, which weighs 8 and 1/2 ounces. What is the unit cost (dollars per ounce)? Round to the nearest cent. Write your answer as a decimal

Answers

Answer:

39 cents

Step-by-step explanation:

3.38÷8.5=0.39

What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area

Answers

Answer:

29.4 cm^2

Step-by-step explanation:

We can use a proportion to find the height:

120 : 100 = x : 7

x = (120 *7)/100 = 8.4 cm

Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2

Answer:

29.4cm²

Step-by-step explanation:

First we are going to find 120% of 7.

7 × [tex]\frac{120}{100}[/tex] = 8.4 cm

Therefore, 8.4 cm is the height.

Area =  [tex]\frac{1}{2}[/tex] Base × Height

= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²

if ab is parallel to cd and slop of ab is -3 what is the slope of cd

Answers

Answer:

-3

Step-by-step explanation:

Parallel lines share the same slope. Therefore, the slope of cd is -3.

can someone please help for brainlest

Answers

No sorry I cannot help

Use the probability model listing all 6 possible outcomes
when rolling a six-sided number cube. What is the
probability of rolling 5 or greater?

A) 2/3
B) 5/6
C) 1/3
D) 1/6

Answers

Answer:

C) 1/3

Step-by-step explanation:

if you have a 6 sided cube you have 1/6 of a chance of landing on any number.

But you only have a 2/6 chance of landing on 5 or greater.

2/6 is also equal to 1/3

A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?

Answers

Answer:

No

Step-by-step explanation:

Complementary angles are two angles whose measures add to 90 degrees. They may or may not be adjacent.

There can be two adjacent angles inside a 90-degree angle, so therefore, there can be complementary adjacent angles.

The student is not correct.

45 – (–32) + (–12) – |–7|

Answers

Answer:

Simplify the expression.

58

Step-by-step explanation:

Answer: 58

Work:
45 - (-32) + (-12) - |-7|
45+32-12-7=58

Wats the volume of this prism

Answers

180 units^3 that is your answer you multiply 6*5*12 to get 360 and divide that by 2

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
ORX)-(3x? -x-5)(2x-5
1 x) = (3x* +2x)"
o 9x)= (4x2-7)
OM) - Bx - 4y - 1) (3,2-4

Answers

Answer: Choice A

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

Explanation:

For each expression in the parenthesis of choice A, focus only on the leading terms. Those would be the terms to the very left. The leading terms 3x^2 and 2x^6 multiply to 6x^8. This is the leading term of the final expansion and it's of degree 8. Any degree 8 polynomial will have 8 roots according to the fundamental theorem of algebra. Some of those roots may be complex numbers, or they may be purely real numbers.

Choice B can be ruled out because the leading term 3x^4 is raised to the 4th power to get (3x^4)^4 = 81x^16 as the leading term of the final expansion. This polynomial has 16 roots, but we want 8 roots instead.

Choice C is a similar story to choice B. In this case, we have (4x^2)^3 = 64x^6 as the leading term when you expand everything out. This 6th degree polynomial has 6 roots.

And finally, choice D can be ruled out as well. We follow the same steps as choice A. The leading terms from each parenthesis group multiply to 6x^8*3x^2 = 18x^10 showing we have 10 roots (due to the 10th degree polynomial).

Find each product. A. 2/5 • (-10)
B. -8 • (-3/2)
C. 10/6 • 0.6
D. (-100/37) • (-0.37)

Answers

Answer:

A. -4

B. 12

C. 1

D. 1

Step-by-step explanation:

change the whole number to fractions and multiply using fraction multiplications.

1. -4 2. 12 3. 1 4. 1

What is the area of the irregular polygon shown below?

Answers

Answer:

86 sq units

Step-by-step explanation:

it is the because:

18*4=72

3.5*4/2=7

7+7+72=86 sq units

Which function is increasing at the highest rate?
A.
x 1 2 3 4 5
g(x) -5 -4 -3 -2 -1
B.

C.
A linear function, f, with an x-intercept of 8 and a y-intercept of -4.
D.

Answers

The correct answer is A.

You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?

Answers

Answer:

Pure water =74.1 mL

Step-by-step explanation:

You need 420 mL of a 70% alcohol solution.

420 mL of solution and 70% of it should be alcohol.

So,

420 * 70/100 mL

= 420 * 0.7

= 294 mL of alcohol and the rest should be water.

On hand, you have a 85% alcohol mixture.

The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:

Let

y = alcohol solution needed

85% of y = 294

85/100 * y = 294

y = 294 ÷ 85/100

y = 294 × 100/85

y = 29,400/85

y = 345.88235294117

Approximately, 345.9mL

The rest of 420 mL solution has to be pure water

Pure water = 420 mL - 345.9mL

= 74.1 mL

Pure water =74.1 mL

An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.

Answers

Answer:

15.5 cm

Step-by-step explanation:

Since it's corrected to the nearest centimeter, the place value of the units place is 1.

1/2 = 0.5

Upper bound = 15 + 0.5 = 15.5 cm

Hope this helps!

A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table

Answers

Answer:

Let C = cost to rent each chair

Let T = cost to rent each table

 

4C + 8T = 73

2C + 3T = 28

 

Multiply the 2nd equation by (-2) and then add the equations together  

 

4C + 8T = 73

-4C - 6T = -56

 

2T = 17

T = 17/2 = 8.5

 

Plug this in to the 1st equation to solve for C

 

4C + 8(17/2) = 73

4C + 68 = 73

4C = 5

C = 5/4 = 1.25

 

So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

PLEASE HELP!!!!
If the neighborhood holds 13 total games and all 50 athletes participate, how many 6-player games and how many 2-player games are played? Write and solve a system of equations .

Answers

Answer:

2 in a half 6 player games and 6 and half 2 player games. hope this helps

Step-by-step explanation:

There were 7 two-player games and 6 six-player games played

What are system of equation?

A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.

Solution:

Given:

Total games = 13

Athletes participated = 50

let x denote the number of 2-player games played and

   y denotes the number of 6-player games played

Hence the equations we get are:

     x ₊ y = 13 ........eq(1)

     2x ₊ 6y = 50  this can be further reduced as

      x ₊ 3y = 25 ......eq(2)

Now, solving both the equations using elimination method then we get :

   ₋2y = ₋12

      y = 6

Here we can notice that x is eliminated.

Now substitute y value in eq(1) then we get x as 7.

Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.

Learn more about "System of equations" here-

brainly.com/question/2226590

#SPJ2

Answer this please! No links please

Answers

Answer:

the arc length is

[tex]2\pi.14. \frac{45}{360} = \frac{7\pi}{2} [/tex]

=> B

A bakery offers a sale price of $3.00 for 4 muffins. What is the price per dozen?

Answers

Answer:

9 dollars.

Step-by-step explanation:

A dozen is 12.

12/4 = 3

$3 * 3 = $9

Step-by-step explanation:

3×4=12. 12 is a dozen. $3=4 muffins. $6=8 muffins. 9=12 muffins . so $9 for a dozen

Una empresa quiere confecionar 7²⁰ chompas. Si el 1er día confeccionada los 3/10 del total. El 2do dia los 2/9 del total, ¿cuantas chompas le falta confeccionar? Con cada paso porfavor :(

Answers

Answer:

A la empresa le faltan confeccionar 344 chompas.

Step-by-step explanation:

Dado que una empresa quiere confeccionar 720 chompas, si el 1er día confeccionaron los 3/10 del total y el 2do día los 2/9 del total, para determinar cuántas chompas le falta confeccionar se debe realizar el siguiente cálculo:

Día 1:

720 x 3/10 = X

720 x 0.3 = X

216 = X

Día 2:

720 x 2/9 = X

720 x 0.22222 = X

160 = X

720 - 216 - 160 = X

344 = X

Por lo tanto, a la empresa le faltan confeccionar 344 chompas.


Use SOH CAH TOA to find the missing side

Answers

b. 9.2

Step-by-step explanation:

cos(52) × 15 gives you the adjacent which is 9.2

The answer is 9.2 which is answer b

Find measure of angles B, E, D and C and the length of BC


Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.

Answers

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Keith and his little brother, Sean, carried the bags of groceries into the house after their
grandmother went shopping. Because Keith is older, he carried 3 times as many bags as
Sean.
Pick the diagram that models the ratio in the story.
Keith
Sean
Keith
Sean
If Keith carried 6 bags of groceries, how many bags were there altogether?
bags

Answers

Answer:

8 bags altogether

Step-by-step explanation:

Again, without a photo, I can't choose the diagram. Very sorry.

k is Keith, s is Sean

k = 3s

substitute in bags Keith carried and solve for s

6 = 3s

divide both sides by 3

s = 2

Keith carried 6, Sean carried 2,

6 + 2 = 8 bags total

can someone pls help for brainlest

Answers

answer:
455 square kilometers
step-by-step explanation:
a = l • w
24 • 24
576
because there is a space where it isn’t shaded we have to find the area of that as well
11 • 11
121
now just subtract
576 - 121
455

Answer:

455 square kilometers (km2)

Step-by-step explanation:

Step 1: Find the area of the white square: 11 km x 11 km= 121 km2

Step 2: Find the area of the green square: 24 km x 24 km= 576 km2

Step 3: Subtract the white square from the green square: 576-121= 455

Step 4: The answer is 455 square kilometers (km2). Hope this helped!

Edgar owns 234 shares of Cawh Consolidated Bank, which he bought for $21.38 apiece. Each share pays a yearly dividend of $3.15. Edgar also owns two par value $1,000 bonds from Cawh Consolidated Bank. The bonds had a market value of 105.166 when he bought them, and pay 8.3% interest yearly. Which aspect of Edgar’s investment in Cawh Consolidated Bank offers a greater percent yield, and how much greater is it? a. The stocks have a yield 6.43 percentage points greater than that of the bonds. b. The stocks have a yield 6.84 percentage points greater than that of the bonds. c. The bonds have a yield 1.05 percentage points greater than that of the stocks. d. The bonds have a yield 9.13 percentage points higher than that of the stocks.

Answers

Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.

Step-by-step explanation:

Firstly, the yield for stocks will be calculated as:

= return/ investment cost

= $3.15/$ 21.38

= 0.14733395

= 14.73%

The yield for bonds will be calculated as:

= Return/Investment cost

Return = 1,000 x 8.3% = 83

Investment cost = 1,000 x 105.166/100 = 1051.66‬

Yield = 83/1051.66

= 0.07892284

= 7.89%

Then, the difference between the yield will be:

= 14.73% - 7.89%

= 6.84%

Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.

Answer:

b.The stocks have a yield 6.84 percentage points greater than that of the bonds.    Step-by-step explanation: got it right on edge 2022!

please help thank you

Answers


I don’t know it is really hard to learn

Answer:

50  ft²

Step-by-step explanation:

ΔABC ≅ ADC; therefore the area of ΔADC is 25 sq feet also

2(25) = 50 sq feet

(m ^ 2 * n ^ 3)/(n ^ - 2)

Answers

Answer:

m²n⁵

Step-by-step explanation:

m²n³ / n-²

The exponent changes sign when "flipped" from division to multiplication

m²n³ * n²

m²n⁵

x+y=80
5x+8y=535

what is x and what is y

Answers

Answer:

x+y=80 i.e. 5x+5y=400 multiplying both sides by 5

now 5x+8y=535

therefore 3y=535-400=135

therefore y=135/3=45

now x=80-y=80-45=35

therefore final answer x is 35 y is 45

Answer:

x=35, y=45

Step-by-step explanation:

x+y=80=>5x+5y=400 so (5x+8y)-(5x+5y)=535-400

<=>3y=135<=>y=45=>x=80-y=80-45=35

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