Solve the following, where 0° < θ < 360°.
If cos θ=2/3 and tan θ<0
Find θ.

Answers

Answer 1

Answer:

The angle θ = 312°.

Step-by-step explanation:

0° < θ < 360°

If cos θ = 2/3 and tan θ < 0

As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.

cos θ = 2/3

θ = 312°


Related Questions

Find the line’s slope and a point on the line
Y-4=-3/4(x+5)

Answers

Answer:

The slope is -3/4 and a point on the line is (-5,4)

Step-by-step explanation:

This equation is in point slope form

y -y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

Y-4=-3/4(x+5)

Y-4=-3/4(x -  -5)

The slope is -3/4 and a point on the line is (-5,4)

Two corresponding sides of similar triangles have the lengths 6 cm and 16 cm. What is the ratio, expressed as a decimal?

Answers

Answer: 16:81

Step-by-step explanation:

A car travelling at v kilometers per hour will need a stopping distance, d, in meters without skidding that can be modelled by the function d=0.0067v2+0.15v. Determine the speed at which a car can be travelling to be able to stop within 37m.

I’m need of serious help!

Answers

Answer:

v =  14 km/h

Step-by-step explanation:

d = 0.0067[tex]v^{2}[/tex] + 0.15v

differentiate the function with respect to v to have;

d = 0.0134v - 0.15

given that the distance without skidding = 37 m (0.037 km) , then;

0.037 = 0.0134v - 0.15

0.0134v = 0.037 + 0.15

             = 0.187

v = [tex]\frac{0.187}{0.0134}[/tex]

  = 13.9552

v =  14 km/h

The speed of the car travelling would be 14 km/h to be able to stop within 37m.

Help me please please help me please

Answers

Answer:

the first one...

the cost of renting the ally for 14 hours

Step-by-step explanation:

Answer:

the first one

the number of dollars it costs to rent the bowling lane for14 hours

WILL GIVE BRAINLIEST, HELP QUICK!!

Answers

The answer is A

It is A because it is 4 units squares away so it has to be A.

Hope this helps :))))

Answer:

the answer is 5 units

Step-by-step explanation:

You can look at the location of B and C and see that the line goes from 2 to -2 which is 5 units apart. -2, -1, 0, 1, 2

What is “8 - 4(-x + 5)” equivalent too?

Answers

Answer:

4x -12

Step-by-step explanation:

8 - 4(-x + 5)

Distribute

8 -4(-x) -4(5)

8 +4x -20

4x -12

answer 4( - 3 + x)

factor expression

4(2 - ( - x + 5)4(2 + x - 5)

answer

[tex]4( - 3 + x)[/tex]

simplify the expression

[tex]8 - 4( - x + 5)[/tex]

answer

[tex] - 12 + 4x[/tex]

Complete this equations,( show your work).

* I re-wrote some of the questions below them so u can read ' em better. ty​

Answers

Answer:

21 is: [tex]\frac{4}{9}[/tex] x + [tex]\frac{31}{72}[/tex]

22 is: 4 [tex]\frac{39}{44}[/tex]

23 is:[tex]\frac{1}{4}[/tex] x + [tex]\frac{31}{72}[/tex]

24 is:  [tex]\frac{-2}{11}[/tex] x + [tex]\frac{7}{11}[/tex]

Step-by-step explanation: Hope this helps and good luck mark brainliest if u want :)

which of the following equations have complex roots?

Answers

9514 1404 393

Answer:

  B.  3x² +2 = 0

Step-by-step explanation:

The equation of A has a couple of real roots. We're pretty sure there are complex numbers that will satisfy this equation, but we don't know how to find them. (We suspect a typo, and that the equation is supposed to be 2x² +1 = 7x, which has only real roots.)

__

The equation of B can be rewritten as ...

  x² = -2/3

This will have complex roots.

__

The discriminants of both equations C and D are positive, so those have only real roots.

  2x² -5x -1   ⇒   d = (-5)² -4(2)(-1) = 33

  3x² -6x -1   ⇒   d = (-6)² -4(3)(-1) = 48

Find the area of the image below

Answers

Answer:

0 because there is no image....

1,4,9 find the fifth pattern​

Answers

Answer:

1, 4, 9, 16, 25

Step-by-step explanation:

The pattern increases by an odd number. It can be seen that;

for the first pattern

1²=1

for the second pattern

2²=4

for the third pattern

3²=9

for the forth pattern

4²=16

for the fifth pattern

5²=25

Find the value of x.

A. 99
B. 9
C. 90
D. 11
ILL GIVE BRAINLIEST

Answers

Answer:

B) 9

Step-by-step explanation:

Because there's a square between the 2 angles, that means these angles are complementary (angles that add up to 90°). So:

5x - 9 + 6x = 90

11x - 9 = 90

11x = 90 + 9

11x = 99

x = 9

Answer:

B.9

Step-by-step explanation:

The way to solve this is by noticing that these angles are complementary(they add up to 90 degrees). So you add the equations together and equal them to 90. 5x-9+6x=90.Then you solve to find that x=9.

which of the following are exterior angles?

Answers

Answer:

A, B, E

Step-by-step explanation:

Exterior angles are angles that are outside the shape. In this case, angle 4, 3 and 2 are exterior angles.

Find the special product:
(r + 5)^2

Answers

Answer:

i am not sure about this answer but i got r^2+10r+25

Which pair shows equivalent expressions?
O 2x+10=-2(x-5)
O-2(x+5)=2x-10
0 -2x-10=-2(x+5)
O -2(x-5)=-2x-10

Answers

Answer:

O-2(x+5)=2x-10

Explanation

O-2(x+5)=2x-10

SOLUTION

-2x(x)= -2x

-2x+5 = -10

I will give brainliest if correct!!! Please show work so I know how to do it. :)
12. Let logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271. Using these values, evaluate logb(5/3).
A. 0.1518
B. 1.4649
C. 1.2138
D. 0.2625
E. 0.5341
F. 2.6252

Answers

Answer:

.2625

Step-by-step explanation:

logb(3) = 0.5646, logb(4) = 0.7124, and logb(5) = 0.8271

logb(5/3)

We know that logx ( y/z) = logx (y) - logz (z)

logb ( 5) - logb(3)

0.8271 - 0.5646

.2625

Answer:

F. 2.6252

Step-by-step explanation:

0.8271 - 0.5646

A chair which was produced at a cost of Rs 450 was sold at a profit of 22%. What was the profit?​

Answers

Answer:

RS 99

Step-by-step explanation:

%p = p/cp ×100

22 = p/450 × 100

22 = 100p/450

cross multiply

22 × 450 =100p

9900 = 100p

100p =9900

p = 9900/100

p = 99

9 is subtracted from 5 times 3 and 10 is added

Answers

Answer:

-16

Step-by-step explanation:

9 - 5 x 3 + 10
9 - 15 + 10
9 - 25
-16
9-5 times 3= -6 +10=4

If XZ = 46 and WR = 21, find WX.

Answers

Answer:

[tex]WX=\sqrt{970}[/tex]

Step-by-step explanation:

The diagonals of a kite intersect at a 90-degree angle. In this figure, right triangle [tex]\triangle WRX[/tex] is formed by half of each of the diagonals.

In any right triangle, the Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Segment WR is one leg of the triangle and is given as 21. XR forms the other leg of the triangle, and is exactly half of diagonal XZ. Therefore, [tex]XR=\frac{1}{2}\cdot 46=23[/tex].

The segment we're being asking to find, WX, marks the hypotenuse of the triangle.

Therefore, substitute our known information into the Pythagorean Theorem:

[tex]21^2+23^2=WX^2,\\WX^2=970,\\WX=\boxed{\sqrt{970}}[/tex]

Answer:

WX= 31.14

Step-by-step explanation:

Use the Pythagorean theorem- [tex]a^{2} +b^{2} =c^{2}[/tex]

XR=23 by taking half of 46

[tex]21^{2} +23^{2} =c^{2} \\441+529=c^{2} \\970=c^{2}[/tex]

sqrt both sides to get your answer of 31.14

40 points Please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches

Answers

Answer:

V = 24.28 in ^3

Step-by-step explanation:

The area of the base is

A =5/2 × s × a  where s is the side length and a is the apothem

A = 5/2 ( 2.13) * .87

A = 4.63275

The volume is

V = Bh  where B is the area of the base and h is the height

V = 4.63275 ( 5.24)

V =24.27561 in^3

Rounding to the  hundredth

V = 24.28 in ^3

Find the discernment and the numbers of the number of real roots for this equation.
x^2+3x+8=0

Answers

Answer:  2 distinct complex solutions (ie non real solutions).

Work Shown:

The given equation is in the form ax^2+bx+c = 0, so

a = 1, b = 3, c = 8

Plug those into the formula below to find the discriminant

D = b^2 - 4ac

D = 3^2 - 4(1)(8)

D = -23

The discriminant is negative, so we get two nonreal solutions. The two solutions are complex numbers in the form a+bi, where a & b are real numbers and [tex]i = \sqrt{-1}[/tex]. The two solutions are different from one another.

Answer:

Discriminant: -23

Number of real roots: 0

Step-by-step explanation:

For a quadratic in standard form [tex]ax^2+bx+c[/tex], the discriminant is given by [tex]b^2-4ac[/tex].

In [tex]x^2+3x+8[/tex], assign:

[tex]a\implies 1[/tex] [tex]b\implies 3[/tex] [tex]c\implies 8[/tex]  

The discriminant is therefore:

[tex]3^2-4(1)(8)=9-32=\boxed{-23}[/tex]

For any quadratic:

If the discriminant is greater than 0, the quadratic has two real rootsIf the discriminant is equal to 0, the quadratic has one real rootIf the discriminant is less than 0, the quadratic as no real roots

Since the quadratic in the question has a discriminant less than 0, there are no real solutions to this quadratic.

Please help me Find PA.

Answers

PO is 5 by using Pythagorean theorems and it forming a 3,4,5 triangle so PA is PO + OA so it is 8

Find the area to the left of z = 0.25.
A. 0.6012 B. 0.5987 C. 0.4013 D.0.3988

Answers

Answer:

.5987

Step-by-step explanation:

Use a ztable and find .25 (pic below)

The square root of 0.25 is 0.5 which is a greater number. Give another number whose square root is larger than the number and explain why.

Answers

Answer:

Another example of a number who's square root is greater than the number is  [tex]\sqrt{0.49}[/tex] which is 0.7

Step-by-step explanation:

This square root is larger than the number because it is a decimal. When you multiply a decimal by a decimal, the decimal point becomes greater. For example: 0.7 multiplied by 0.7 equals 0.49 which has 2 decimal places, while 0.7 only has one.

15 points f (x) = 1/x+5 -1. Find the inverse of (x) and its domain.

Answers

Answer:

D

Step-by-step explanation:

[tex]f(x)=\frac{1}{x+5} -1\\let~f(x)=y\\y=\frac{1}{x+5} -1\\flip~x~and~y\\x=\frac{1}{y+5} -1\\x+1=\frac{1}{y+5} \\y+5=\frac{1}{x+1} \\y=\frac{1}{x+1} -5\\f^{-1}(x)=\frac{1}{x+1} -5\\x+1\neq 0\\x\neq -1[/tex]

help please like PLEASE ASAP

Answers

Answer:

1/5^5

Step-by-step explanation:

Flip the equation into a fraction.

:>

I think the answer is 1/5^5

Find the equation of the line passing through the point (-3.6, 2.1) and parallel
to the line 4.9x + 5.4y = 3

Answers

Answer:

y = -4.9/5.4x - 1.17

Step-by-step explanation:

First let's convert the equation to standard form of y = mx + b.

4.9x + 5.4y = 3

Subtract 4.9x from both sides.

5.4y = -4.9x + 3

Divide each term by 5.4.

y = -4.9/5.4x + 0.56

If two lines are parallel to each other, they have the same slope slopes.

The first line is y = -4.9/5.4x + 0.56. Its slope is -4.9/5.4. A line parallel/perpendicular to this one will also have a slope of -4.9/5.4.

Plug this value (-4.9/5.4) into your standard point-slope equation of y = mx + b.

y = -4.9/5.4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-3.6, 2.1). Plug in the x and y values into the x and y of the standard equation.

2.1 = -4.9/5.4(-3.6) + b

To find b, multiply the slope and the input of x (-3.6)

2.1 = 3.27 + b

Now, subtract 3.27 from both sides to isolate b.

-1.17 = b

Plug this into your standard equation.

y = -4.9/5.4x - 1.17

This equation is parallel/perpendicular to your given equation (y = -4.9/5.4x + 0.56) and contains point (-3.6, 2.1)

Hope this helps!

Can someone help me with this math homework please!

Answers

1. a= 19

2.2 ( second option)

3.C

4D

If anyone knows pls answer


Answers

Answer:

1

Step-by-step explanation:

Answer:

n = 1

Step-by-step explanation:

4^n + 2 + 4^n = 68

4^1 + 2 + 4^1 = 68

4^3 + 4^1 = 68

64 + 4 = 68

68 = 68

Given: -1/2 x > 6.

Choose the solution set.

A. {x | x R, x > -12}
B. {x | x R, x > -3}
C. {x | x R, x < -3}
D. {x | x R, x < -12}

Answers

SoLuTiOn彡

Given: -1/2 x > 6

Solving It:-

-1/2 x > 6

x > -6×2

x > -12

So The Correct Solution Set Will Be

A. {x | x R, x > -12}

Hope This Helps You

What is the simplest version of 9/16×4/18​

Answers

Answer:

1/8

Step-by-step explanation:

9/16 * 4/18

Rewriting

9/18 * 4/16

9/18 = 1/2   and 4/16 = 1/4

1/2 * 1/4

1/8

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{9}{16}[/tex] x [tex]\frac{4}{18}[/tex] = [tex]\frac{(9)(4)}{(16)(18)}[/tex]

[tex]\frac{(9)}{(18)}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{4}{16}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{(1)(1)}{(2)(4)}[/tex] = [tex]\frac{1}{8}[/tex]

Other Questions
35. Graph the following system of equations and find the x-coordinate of the solution.3x+ 3y=3Y=-1/2x+2x=2x= -2X = 3x=0 Read this excerpt of 'From Blossoms*:From laden boughs,from hands,from sweet fellowship in the bins,comes nectar at the roadside, succulentpeaches we devour, dusty skin and all,comes the familiar dust of summer, dust we eat.Which word helps create a positive mood? A. devour B. dust C. binsO D. sweet In a few sentences compare Tito and Gus. Tito and Gus are two kids in middle school living in a tough neighborhood. They just choose to act about it differently. Tell me how they are different, the things they do, how they act, choices they make, etc. what is one example of a type of mediuma. point of viewb.informal language c.live theatred.figurative language extravagance leads to proverty.justify this statement In the context of talent development approaches, outdoor experiential activities as a development tool for individuals in teams _____. Cost of debt with fees. Kenny Enterprises will issue a bond with a par value of $1,000, a maturity of twenty years, and a coupon rate of 7.5 % with semiannual payments, and will use an investment bank that charges $25 per bond for its services. What is the cost of debt for Kenny Enterprises at the following market prices?a. $982.48b. $1,004.93c. $1,068.15d. $1,171.91 Which expression is equivalent to 27 + 45? Finish Co. uses the allowance method based on the percent of sales method to account for bad debts. At the end of 2010, Finish Co.'s unadjusted trial balance shows an accounts receivable balance of $30,000; allowance for doubtful accounts balance of $200 (credit); and sales of $600,000. Based on history, Finish estimates that bad debts will be 1% of sales. The entry to record estimated bad debts will include a debit to Bad Debts Expense in the amount of: Multiple choice question. $500 $6,000 $6,200 $100 $5,800 Which of the following is an arithmetic sequence? 1, -3, 9, -27,... -2, 4, -6, 8, ... -8, -6, -4, -2, ... 2, 4, 8, 16, ... Which statement is true about point f THE SPEED OF A CAR IS 144 KM/HR WHAT US ITS SPEED IN M/S O crescimento econmico, nos moldes capitalistas, compatvel com a questo ecolgica e a conservao ambiental? Given the flag ABCDE, determine the single rule (x,y) that creates thetransformed figure A'B'C'D'E'. Fill in your answer below in the format (x,y)--> WILL GIVE BRAINLIEST What is one way a person can increase the wages he or she expects to earn?A. By deciding not to get a high level of education B. By choosing a job with a high market value C. By reducing overall productivity in a year D. By advocating against minimum wage regulations Which type of figurative language does John Keats use in this excerpt from "Ode to Autumn"?And sometimes like a gleaner thou dost keepSteady thy laden head across a brook;Or by a cider-press, with patient look,Thou watchest the last oozings, hours by hours.A. repetitionB. allusionC. personificationD. alliteration What sources must health care workers use when deciding which abbreviations and symbols to use on the job?a. Those listed in their textbooksb. Those approved by the facility in which they workc. Those listed in medical dictionaries and reference books,d. Those provided by their professional organization. Suppose you are given a sequence that is described by a formula, starting at index n=0. If you need to change the starting index to n=1, then you just need to replace n in the formula by n+...? Pls help meeee thank you Name three Sumerian inventions.