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

Answer:

A. -4

B. 12

C. 1

D. 1

Step-by-step explanation:

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

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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).

Answer:

-3

Step-by-step explanation:

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

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.

Answer:

m²n⁵

Step-by-step explanation:

m²n³ / n-²

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

m²n³ * n²

m²n⁵

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

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

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

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

Answer:

Simplify the expression.

58

Step-by-step explanation:

Answer:

50  ft²

Step-by-step explanation:

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

2(25) = 50 sq feet

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.

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

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

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

Answer:

the arc length is

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

=> B

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

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

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:

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!

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!

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!

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

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

Answer:

39 cents

Step-by-step explanation:

3.38÷8.5=0.39

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

b. 9.2

Step-by-step explanation:

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