Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

Answers

Answer 1

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]

Then add 180 degrees, then we have

[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]

Then the value of the cosine will be

[tex]\cos 160.52^o=-0.9428[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer 2

Answer:

-2√2/3

Step-by-step explanation:

edge 22


Related Questions

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Answers

Answer:

a) Team C - lowest average/mean

b) Team A - greatest variability/range

Step-by-step explanation:

Hope this helps!

in a sale, the price of a computer is reduced by 20%. At this reduced price the shopkeeper still makes a profit of 20%. What would have been his percentage profit if the computer had been sold at full price?

Answers

Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.

What would the profit have been at full price?

First assume a price the computer was sold at. We'll go with $100.

At this price, the shopkeeper still made a profit of 20% which means that the cost price was;

= 100 / (1 + 20%)

= $83.33

Based on the discounted price of $100, the full price was:

= 100 / (1 - 20%)

= $125

The profit the shopkeeper would have made is:

= (Full price - Cost price) / Cost price x 100%

= (125 - 83.33) / 83.33 x 100%

= 50%

#SPJ1

Find out more on percentage discounts at https://brainly.com/question/1453984.

Which of the following is NOT a statistical question?
A) How many pets are owned by my uncle?
B) How many pets are adopted in a pet store each week?
C) How many pets are owned by the individual teachers in my school?
D) How many pets are owned by the individual students in a karate class

Answers

Answer:

A) How many pets are owned by my uncle.

Step-by-step explanation:

This question is NOT statistical because it has a definite answer.

There is one number that can represent how many pets are owned by let's say your uncle.

On the other hand, B, C, and D compare two different things.

Hope this helps!

Please help


rank the electric potential energy of the charged particles from highest to lowest.

a. 1,2,3,4

b. 2,3,1,4

c. 4,2,3,1

d, 1,3,2,4

Answers

Answer:

1,2,3,4 on edge

Step-by-step explanation:

HELP ASAP


The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9

Answers

Answer: The range of the function is all real numbers less than or equal to 9

Step-by-step explanation:

For each item, find the product of the complex number and its complex conjugate. Show your work.
(a) 10-14i
(b)-5-12i
(c) 8+3i
(d) - 9-5i

Answers

Answer:

114

Step-by-step explanation:

Here is the first one.....you should be able to do the others

(10-14i)(10+ 14i)      expand

100 + 140i  - 140i - 14i^2

100 - 14i^2      remember  i = sqrt (-1)    so i^2 = -1

100 - (14 *-1)

114

Please help with this its really hard :(

Answers

Answer:

24sq cm

Step-by-step explanation:

I also need help with these! It would mean a lot.

Answers

English please sorry

Use the distributive property to simplify 3(4x+8).

a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24

Answers

Answer:

d) 12x + 24.

Step-by-step explanation:

3(4x+8)

= 3*4x + 3*8

= 12x + 24.

hello!

The Distributive Property states the following:-

[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]

So we distribute a by multiplying it times b & c.

Now, let's simplify the given expression:-

[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]

Hence, Option D) is correct!

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Solve for h. h - 45 = -35A.h = -10B.h = 10C.h = -80D.h = 80


PLS HELP HURRY

Answers

The value of h is going to be 10 therefore the answer is going to be B

Explanation: 10 - 45 = -35

The price of a house increased from $340,000 to $550,000. what is the percent increase?

Answers

Answer:

61.7647% increase to be exact,

but the rounded answer is about 62%, or 61.8% rounded to the nearest tenth.

Step-by-step explanation:

do final value - starting value and divide by starting value times 100%

I need this today
pls help

Answers

Answer:

5. radius= TD

inscribed angle =RQS

diameter =TA

6. radius=SY

secant=TU

Tangent=S

How do I find the length of K?

Answers

Answer:

  i) 3.7 cm

  ii) 3.0 cm

Step-by-step explanation:

When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.

__

i)

The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...

  Tan = Opposite/Adjacent

  tan(63°) = k/(1.9 cm)

  k = (1.9 cm)tan(63°) ≈ 3.7 cm

The length k is about 3.7 cm.

__

ii)

Again, the tangent function can be used to solve this triangle.

  tan(42°) = (2.7 cm)/p

  p = (2.7 cm)/tan(42°) ≈ 3.0 cm

The length p is about 3.0 cm.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

Mode: 7

Range: 6

Step-by-step explanation:

Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.

Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.

9-3 = 6

In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.

The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.

73 / 2 = 36.5

pls help asap!!!!!!!

Answers

Answer:

[tex]3\cdot \frac{1}{2},\:\frac{21}{7},\:\pi ,\:4.1[/tex]

Step-by-step explanation:

convert the number to all decimals or fraction and compare.

How do I find the lengths of JK and JM?

Answers

Answer: Jk is 5 units and JM is 6 units. Have a great day.

Answer: j k is 5 and j m is 6 I think

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIST

If the ratio of the rectangular prisms' volumes is 1:8, what is j?

Answers

1:8 means the pink one is 8 times larger than the blue one. Like, 1 pink one cosists of 8 blue ones. So,
2 * 8 = 16

Find the area please!

*you can use decimals if needed*

Answers

Answer:

116 km squared

Step-by-step explanation:

When you get crazy shapes like this, try and look for the basic ones inside (i.e. triangles, rectangles, etc.) I can find one big triangle and two rectangles, one small and one larger. Vide the attatchment for reference.

Step 1. Find the missing variables, x, y, and z

y = 2

x = 6 - 2 = 4

z = 8 + (4) + 2 = 14

Step 2. Find the area of each shape

Triangle:

Area = bh/2 = (8 x 14)/2 = 56 km sq

Big rectangle:

Area = bh = 8 x 6 = 48 km sq

Small rectangle:

Area = bh = 2 x 6 = 12 km sq

Step 3. Add all the areas together

56 + 48 + 12 = 116 km sq

I hope this helps!

I hope I can help you:)

which name gives the most information about the shape below
Rhombus
Trapezoid
quadrilateral
Parallelogram

Answers

parallelogram ……….hope it helps

GRADE 9 maths! due tonight please help!!

Answers

join all the points form -4 to 4

the answer for table is

(-4,-4) (-3,-3) (-2,-2) (-1,-1) (0,0) (1,1) (2,2) (3,3) (4,4)

Write the equation of the line that passes through the points (-2, 3) and (-2,5).

A. Y=1/2x+1

B. X=-2

C. Y=-2

D. Y=5

Answers

Answer:

Answer is B. X=-2

Step-by-step explanation:

I just used the slope formula and slope-intercept y = mx + b to find the equation

15. Graph the line 3 y - 2x = 3 on the axes provided. At what value of x does the line you graphed intersect the line y = 5. Show how you determined your answer. th 6 noints​

Answers

Answer:

x=6

Step-by-step explanation:

3*5-2x=3

15-2x=3

15-3=2x

12=2x

6=x

VA Tech offers four applied majors and monitors the number of students in each.

There were 36 students in applied majors. How many more of them were in electronics than in architecture?

Type only the numeric answer.

Answers

Answer:

3

Step-by-step explanation:

Number of students in electronics, 1/4 of the total

36*1/4 = 9

Number of students in architecture, 1/6 of the total

36*1/6 = 6

The difference is

9 - 6 = 3

What is the surface area of a square pyramid with a base with a width 6 and a triangular height of 8?

Answers

Answer:

A≈138.53

Step-by-step explanation:

A=a^2+2a √a^2/4+h2

Michael collects baseball cards. His cousin gave him 267 cards when he gave up his own hobby. 23 of them were duplicates of cards Michael already has so he put them aside for trading. How many new cards did he add to his collection?​

Answers

244 cards added. You subtract 267 and 23

I don't know how to answer this, please help!

Answers

the simplified equation is 4x^2-3x+2

olive oil is $7.98 for 36 ounces. What is its unit rate? Round your answer to the nearest cent

Answers

Answer:

22 cents

Step-by-step explanation:

Rounding the number $0.2217 to the nearest cent, we get $0.22.

Use 3.14 for ​ to find The radius of a circle is 1 yard. What is the circle's area?

Answers

Answer:

3.14 yards^2

Explanation:

The formula for the area of a circle is pi times the radius^2.
You have to substitute a yard into the radius.

Answer:

9.42.

Step-by-step explanation:

If you have 3.14 × 3 You would put it over as an equation.

3.14

× 3

----------

9.42 is final answer.

The relationship between women's whole
number shoe sizes and foot length forms an
arithmetic sequence, where is the foot
length in inches that corresponds to a shoe
size of n. A women's size 3 lits a foot 8 inches
long and women's size 7 lits a fool
9
inches long
What is the common difference of the arithmetic
sequence?


Answers

Using arithmetic sequence concepts, it is found that the common difference is of 0.25.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

[tex]a_3 = 8, a_7 = 9[/tex]

Hence:

[tex]a_7 = a_3 + (7 - 3)d[/tex]

9 = 8 + 4d

4d = 1.

d = 0.25.

The common difference is of 0.25.

More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461

Please help me with this please and thank you

Answers

Answer:

L bozo

Step-by-step explanation:

ur whole life is an L

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