Find all solutions of the equation in the interval [0, 2pi)
cosx (2 sinx+1)=0

Answers

Answer 1

Answer:

x = pi/2 and 11pi/6

Step-by-step explanation:

Given the trigonometry expression

cosx (2 sinx+1)=0

This can be written in two forms as;

cosx  = 0 and 2sinx + 1 =  0

If cos x  = 0

x = arccos0

x = 90degrees

x = pi/2

Similarly

2sinx  + 1 = 0

2sinx = -1

sinx = -1/2

sinx  =-0.5

x = aarcsin(-0.5)

x = -30

Since sin is negative in the third and 4th quadrant

x = 270 + 30

x = 330degrees

x = 330pi/180

x = 11pi/6


Related Questions

HEKEIAINF AIUOSF AOFNK IO:SAB AIOSFBJK ASMEHELPPP

Answers

Answer:

Ummm give me a second let me solve this

What is the value of the expression below? ( 3 + 1 × 5 ) 2

Answers

Answer:

(3+ 5)2=8*2=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

(3+1*5)2

B- brackets

I- indices

D- division

M- multiplication

A- addition

S- subtraction

1*5=5

5+3=8

8*2=16

PLEASE HELP ME. I WILL GIVE CROWN

Answers

Answer:

h t t p s : / / w w w . d e s m o s . c o m / c a l c u l a t o r

Step-by-step explanation:

what is 22% of 45



what is 32.5% of 250

Answers

Answer:

22%*45=

(22:100)*45 =

(22*45):100 =

990:100 = 9.9

32.5%*250=

(32.5:100)*250 =

(32.5*250):100 =

8125:100 = 81.25

Answer:

1) 9.9

2) 81.25

Step-by-step explanation:

1)

22% = 0.22

45(0.22) = 9.9

2)

32.5% = 0.325

250(0.325) = 81.25

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

I think 96° but not fully sure sorry if wrong

What’s the scale factor?

Answers

Answer:

The scale factor is 1/4

Step-by-step explanation:

20/5 = 4

Can somebody plz help answer these questions correctly (only if u done this before) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWER THESE FIRST :DDD

Answers

Answer:

Shown Below

Step-by-step explanation:

WPT = 90

WPV =  30

VPT =  60

VPS = 90

RPS = 60

WPS = 120

QPS =  150

solve for x and y.
A x=6; y=10
B x=13.5; y=10
C x=6;y=5
D x=13.5; y=5

Answers

Answer:

B x=13.5; y=10

this is answer

Step-by-step explanation:

Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth

Answers

Answer:

120.7 cm²

Step-by-step explanation:

2( 1 + √2 ) a² = 2( 1+ √2 ) · 5² ≈ 120.7

find the measure of each interior angle in a regular 18-gon

Answers

Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

what is the least common denominator of 3/1+8/4

Answers

Answer:

4355646

Step-by-step explanation:

45345

Answer:

least common denominator is 4

Step-by-step explanation:

3/1+8/4=20/4 which is 5

A triangle has one side that is 31 inches long and a second side that is 44 inches long. The least possible length of the third side is_____ in. The greatest possible length of the third side is____in. (Please write the answer in whole numbers only)
BRAINLIEST!!!!!!!

Answers

Answer:

The lowest length on the third side is less that 30 and the largest is between 40 and 30

Step-by-step explanation:

Please answer this. I would greatly appreciate it
No links, no fake answers or your getting reported.

Answers

Answer:

11.1 feet

Step-by-step explanation:

When you are given a right triangle with a given angle and side, you can use

trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.

These ratios can be remembered by the mnemonic:

SOH CAH TOA.

S O H → Sin (Sine) = Opposite / Hypotenuse

C A H → Cos (Cosine) = Adjacent / Hypotenuse

T O A → Tan (Tangent) = Opposite / Adjacent

______________________________________

The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.

Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.

Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.

Because: 36 = Hypotenuse Side.

cos(72)° = Adjacent Side / Hypotenuse Side.

36 × cos(72°) =

36 × 0.309016994374... = 11.12461179749... ≈ 11.1

find the area of the shaded region inside the rectangle hexagon given one of the side lengths is 8.

A 163
B 230
C 300
D 233.3

Answers

The answer is A if I’m not mistaken

dude I don’t even know anymore

Answers

Answer:

just use the line on the graph :D

Step-by-step explanation:

f(6) =2

the maximum is 7

hope this helps!

PLEASE HELP Adam has a rectangular swimming pool. He fills it with water to a depth of 5 feet. The water has a VOLUME of 1200 cubic feet.

Answers

Step-by-step explanation:

Given that,

The depth of the pool is, h = 5 feet

Volume of the pool, V = 1200 cubic feet

We need to find the possible values for the dimensions of the pool. We know that the volume of a rectangle is given by :

[tex]V=lbh[/tex]

Where

l and b are length and breadth

So,

[tex]lb=\dfrac{V}{h}\\\\lb=\dfrac{1200}{5}\\\\lb=240[/tex]

The first possibillity for dimension is (10×24). Another can be (12×20).

A box in the shape of a triangular prism is painted for a project. Which formula would be used to find the lateral surface area of the triangular prism?

Answers

Answer:

LSA = (a+b+c)×h

Step-by-step explanation:

The formula that would be used to find the lateral surface area of the triangular prism = perimeter of base(P) × Height of prism(H)

Let us assume that three side of triangle are a, b, c and height of prism is h

Then lateral surface area of the prism can be LSA = (a+b+c)×h

Leon had 84 paper clips. He gave 3 4 of them to Joe. Joe gave 2 7 of what he received to Justin. How many paper clips did Justin get?
Please explain it in a statement way!

Answers

Given:

Leon had 84 paper clips.

He gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

To find:

How many paper clips did Justin get?

Solution:

Leon had 84 paper clips and he gave [tex]\dfrac{3}{4}[/tex] of them to Joe.

Number of paper clips Joe has = [tex]\dfrac{3}{4}\times 84[/tex]

                                                    = [tex]63[/tex]

Joe gave [tex]\dfrac{2}{7}[/tex] of what he received to Justin.

Number of paper clips Justin has = [tex]\dfrac{2}{7}\times 63[/tex]

                                                       = [tex]18[/tex]

Therefore, Justin has 18 paper clips.

Last one

What is the volume, in cubic centimeters, of the cylinder?

A 602.88

B 150.72

C 50.24

D 301.44

Answers

Answer:

A

Step-by-step explanation:

The base of your cylinder has a radius of 4 cm, its area is 16 × 3.14, or 50,24 square centimeters. If that same cylinder is 12 cm tall, its volume is 50,24 × 12 = 602,88 cubic centimeters.

Hope this helps

Kind Regards

Farah Syed

The answer is A ..........


What is the probability of rolling a 1 ora 4 on a number cube labeled 1 through 6?

Answers

Answer:

For each number, there is a 1/6  probability of rolling it (so 1/6  for the 1 and also 1/6 for the 4).

This means that the probability of rolling either a 1 or a 4 on a given roll is  

1 /6 +   1 /6 = 2/6 = 1/3  

hope this answer helps you.....

Answer:

Is 1/6

Step-by-step explanation:

please help asap!!!!!

Answers

Answer:

RQ = RS = 3

Step-by-step explanation:

Since RQ and RS are radii of the circle then they are congruent

let RQ and RS be x , then

Using Pythagoras' identity in right triangle QRS

x² + x² = (3[tex]\sqrt{2}[/tex] )²

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Thus RQ = RS = 3

Amanda is pumping water into an aquarium at a rate of 12 liters per minute the aquarium had 42 liters of water in it before she started her goal is given by 13x+42<_234 where x is the number of minutes she pumps water into the aquarium

Answers

Answer:

Let x represent minutes.

The inequality derived from the question is...

58 > 18 + 5x

Solve for x...

58 > 18 + 5x

58 - 18 > 5x

40 > 5x

40/5 > x

8 > x

So it will take more than 8 minutes to have 58 liters.

Step-by-step explanation:

i need help please !!

Answers

Answer:

Step-by-step explanation:

Number of people 41 - 50 who read DIY books = 69

Total number of people = 750

% reading DIY = (69/750) * 100 = 9.2%

math question pls help

Answers

it’s either yellow or red i think, sorry i’m not 100% sure

NEED HELP I WILL BE GIVING BRAINLIEST:)

Answers

Answer:

mathematics

Step-by-step explanation:

*what shape is the cross section
(giving brainliest if correct !)

Answers

Answer:

Triangle!!

Step-by-step explanation:

If you cut the pyramid in half, it will leave triangles. Hope this helps!

HELLPPP

Describe in words how to map AABC to its image
AAB'C'.

Answers

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

given the graph of g (x) below determine g (1)

Answers

Answer:

-2

Step-by-step explanation:

IN
6
Ted can read 135 pages in 3 hours.
Which statement is true?
A The unit rate is 135 pages in 3 hours.
B
The unit rate is 45 pages in 1 hour.
The unit rate is 45 pages in
1
3
of an hour.
None of the statements are true PLEASE HELPPP MEEE ANSWERRR THIS QUESTION

Answers

Answer:

45 pages in 1 hour

Step-by-step explanation:

Find the unit rate by dividing the number of pages by the number of hours

135/3

= 45

This means he can read 45 pages in 1 hour.

The unit rate is 45 pages in 1 hour.

What do the graphs of these two functions have
in common?
(picture included)

Answers

Answer: A

Function A: y=1/3x+1
Function B:y=1x+3
•A is correct because if you drew the linear line for function A, it would intercept with B on point (1,4) which is also a point for function B.
•B is incorrect because y-intercept in A=1 and B=3, that’s not in common
•C is incorrect because the slope in A=1/3 and B=1, that’s not in common
•D is incorrect because because x-intercept for A=-3 and for B= less than 1
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