Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

Answers

Answer 1

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3


Related Questions

Find the surface area of the following figure with the given dimension

Answers

Answer:

435 in.²

Step-by-step explanation:

Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)

Area of base = s²

s = 15 in

Area = 15² = 225 in²

Perimeter of the base = 4(15) = 60 in

Slant height = 7 in

Surface Area = 225 + ½(60)(7)

= 435 in.²

Solve the following word problem by creating and solving a system of linear equations. Rachel offers to go to the coffee shop to buy cappuccinos and lattes for her co-workers. She buys a total of nine drinks for $35.75. If cappuccinos cost $3.75 each and the lattes cost $4.25 each, how many of each drink did she buy? a 2 cappuccinos, 7 lattes b 6 cappuccinos, 3 lattes C 4 cappuccinos, 8 lattes d 5 cappuccinos, 4 lattes​

Answers

Answer:

85

Step-by-step explanation:

Do you think the answer is A, B, C, or D.

Answers

Answer:

its A i guess

the correct answer is D

if the sphere shown above has a radius of 15 units , then what is the volume of the sphere ?

Answers

Answer:

4,500 cubic units

Step-by-step explanation:

Answer:

4,500 cubic units

Have a good day.

Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?

Answers

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

) What is the absolute value |-5 l​

Answers

Answer: 5

Step-by-step explanation:

. An oil refnery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refnery to storage tanks located on the south bank of the river 6 km east of the refnery. The cost of laying pipe is $400,000ykm over land to a point P on the north bank and $800,000ykm under the river to the tanks. To minimize the cost of the pipeline, where should P be located

Answers

Answer:

The point P should be located at 0,51 Km from point B, to minimize costs

Step-by-step explanation:

The oil refinery ( point A ) the opposite point ( B) in the south bank, and the storage tank (point C) these three points shape a right triangle. Let´s call x the distance between point A and point P ( the arriving point of the pipeline in the south bank ) then:

Cost = cost of pipeline in-ground* ( 6 - x ) + cost of pipeline in water* L

where L is the hypothenuse of the right triangle  ( A , B , P )

Cost ($) = 400000 * ( 6 - x ) + 800000 * √ 2² + x²

C (x) = 400000* ( 6 - x ) + 800000* √4 + x²

C(x) = 2400000 - 400000*x  + 800000* √4 + x²

Tacking derivatives on both sides of the equation

C´(x) = - 400000 + 800000* ( 2x)/√4 + x²

C´(x) = 0         - 400000 + 1600000*x / √4 + x²  = 0

- 400000* (√4 + x² )  + 1600000*x  = 0

- (√4 + x² ) + 4* x = 0

- (√4 + x² )  = - 4*x

Squaring both sides

4 + x²  = 16*x²

15*x² = 4

x² = 4/ 15

x = ± √0,27

x = ± 0,51

We should dismiss the negative solution

x = 0,51 Km

The point P should be located at 0,51 Km from point B

. Eado fime Blend buys lunch at school, the balance on her school lunch account changes
by 53. Last month, Eiend's balance changed by-536 in all. She wants to know how
many times she bought lunch last month
Which expression represents the number of times
Een bought lunch last month?
- 36 - 3
-263
No LINKS

Answers

Answer:

-36 ÷ -3

Step-by-step explanation:

Change in her school lunch account balance per lunch = -3

Total change in her school lunch balance last month = -36

Expression to show number of times Elena bought lunch last month = Total change in her school lunch balance last month ÷ Change in her school lunch account balance per lunch

= -36 ÷ -3

= -36/-3

= 12 times

Elena bought lunch 12 times last month

someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING

Answers

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

i like ur toga pfp besty :)


if x=49 and y=160 then what is the value of z?

Answers

9514 1404 393

Answer:

  z = 62°

Step-by-step explanation:

You know that ...

  x = (1/2)(y -z)

So ...

  2x = y - z

  z = y - 2x = 160 -2(49)

  z = 62 . . . . degrees

Helppp plssssssssssss

Answers

Answer:

The answer is C

Step-by-step explanation:

If you plot them carefully.

what is the markup percentage based on retail for an item with a dollar mark up of $70.00, cost of $30.00, and retail price of $100.00?

Answers

Answer:

70/100= 0.7= 70%

70%

please help im stuck on this​

Answers

The slope of this graph is -8/5

Answer:

Slope = -8/5

Step-by-step explanation:

Use the slope formula:

m = y2 - y1 / x2 - x1

Plug in the numbers from the ordered pairs given in the graph: (-1, 4) and (4, -4).

m = -4 - 4 / 4 - - 1

m = -8 / 5

m = -8/5

m = rise/run, meaning verticl units/horizontal units

Check your work by counting it out on the graph:

From the first black dot at (-1, 4), count 8 units down and then 5 units to the right. After counting, I ended at the second ordered pair at (4, -4) which means my slope is correct.

jack surveyed students at his school about whether they use computers or cell phones more. He found that of the 74 seventh-graders he surveyed, 53 said they used their cell phones more. In the 8th grade, 59 students used their cell phone more, compared to 38 who used their computer more. What number should be placed in the orange box below?

Answers

Answer:

Number of student of 7th grade using computer  = 21

Total number of 8th grader student surveyed  =  97

Step-by-step explanation:

The complete question is attached herewith

Solution

As we can see in the table

Total number of 7th grader student = 74

Out of these 74 student, 53 use cell phone

Hence, the number of student of 7th grade using computer = 74-53 = 21

Like wise, total number of 8th grader student surveyed = 59 +38 =  97

1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=

Answers

Answer:

A=3

B=-9

C=4

Hope this helps ^^

2(x+50)=16+4x
What is x?

Answers

2x +100=16+4x
-2x. -2x
100=16+2x
-16. -16
84=2x
divide both sides
x=42

Answer:

x=42

Step-by-step explanation:

Write the equation.

2(x+50)=16+4x

Spread the parentheses

2x+100=16+4x

Put variables on one side, numbers on the other.

2x-4x=16-100

Add/subtract/multiply/divide the variables with variables and numbers with numbers.

-2x=-84

Make x alone

-x=-42

Flip sides to make x positive

42=x

find the area of this parallelogram

Answers

Answer:

98 in²

Step-by-step explanation:

14x7=98

Anyone know how to do this people are answering the question but aren’t choosing two anwsers

Answers

Answer:

Option B and Option D are the two answers

(07.01)
What is the value of x in the equation x + 10 = 13? (4 points)
1-3
0 2 3
3) 13
4) 23

Answers

x+10=13
-10 -10
—————
x= 3

Answer is: 2) 3

Answer:

x=3

Step-by-step explanation:

x+10=13

x=13-10

x=3

4n = 2n+6 I really need help

Answers

the answer is n=3. 4 also has a variable in front of it so (4n) which shows you have to multiply. 2 + 6 give you 8 but 2x3+6 gives you 12, 4 x 3 also gives you twelve so your answer is n=3

A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1140, and 960, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15
How many units of each product should the company produce in order to maximize its profit?
Product A
Product B
Product C
What is the largest profit the company can realize?
$
Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)
labor in Dept. I
labor in Dept. II
labor in Dept. III

Answers

Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

Plsss help mark brainlist

Answers

Answer:

17

Step-by-step explanation:

34 / 2 = 17

Find the value of each variable using sine and cosine. Round your answers to the nearest tenth.

Answers

Answer:

r = 19.0

s = 17.7

Step-by-step explanation:

In the given right triangle ABC,

Measure of Hypotenuse (AC) = 26

m(∠CAB) = 43°

By applying sine rule in the given triangle,

sin(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{BC}{AC}[/tex]

sin(43)° = [tex]\frac{s}{26}[/tex]

s = 26[sin(43)°]

s = 17.73

s ≈ 17.7

Similarly, by applying cosine rule in the given triangle,

cos(43)° = [tex]\frac{\text{Opposite side}}{Hypotenuse}= \frac{AB}{AC}[/tex]

             = [tex]\frac{r}{26}[/tex]

r = 26[cos(43)°]

r = 19.02

r ≈`19.0

Select the correct answer. What is the period of ? A. B. C. D.

Answers

What is this question what the heck

Answer:=

2π/3

Step-by-step explanation:

plato

HELP GIVING 20 POINTS
While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?

Answers

Answer:

The total cost as $96

Step-by-step explanation:

To find the total amount find the tax amount and the tip amount

75 * 8% = 6

75 * 20% = 15

add 6 and 15 to 75 to get 96

Answer:

ok

Step-by-step

ok

Someone please answer this

Answers

Answer:

8 m is the answer.

Step-by-step explanation:

a = ?

b (Brennan and Hannah) = 6 m

c (Jayce and Hannah) = 10 m

According to the Pythagoras theorem,

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 100 - 36

a² = 64

a = 8 m

∴ Jayce and Brennan are 8 m apart.

y is directly proportional to the square root of (x+2). when x =7 y=2. find y when x =98

Answers

Answer:

98/7=14

14*2=28

y=28

Step-by-step explanation:

What is the 21st term of the sequence with a1 = -7 and d = 3?

Answers

Answer:

53

Step-by-step explanation:

[tex]a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53[/tex]

Answer

53

Step-by-step explanation:

The probability of event A is 0.42, and the probability of event B is 0.39. If A and B are independent events, what is P(A and B)?​

Answers

Answer:

0.1638

Step-by-step explanation:

P(A and B) or simply the probability of both events happening is the product of their individual probabilities.

P(A and B)= (0.42×0.39)= 0.1638

Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.
-4x+y=12
-8x+2y=14

Answers

Answer:

no solution

Step-by-step explanation:

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