Solve for (0,2π]
2cos ß * sin ß = cos ß

Answers

Answer 1

Given :

An equation, 2cos ß sin ß = cos ß .

To Find :

The value for above equation in (0, 2π ] .

Solution :

Now, 2cos ß sin ß = cos ß

2 sin ß = 1

sin ß = 1/2

We know, sin ß = sin (π/6)  or sin ß = sin (5π/6) in  ( 0, 2π ] .

Therefore,

[tex]\beta = \dfrac{\pi}{6}\ or\ \beta = \dfrac{5\pi}{6}[/tex]

Hence, this is the required solution.


Related Questions


A prism is unfolded. Which of the following faces can be considered a base?
Check all that apply.
Α. Α
B. F
C.G
D .D

Answers

I think A but not sure

what's the answer I have 30 something more questions to go​

Answers

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Find the area of the circle
Pls help quick

Answers

Answer:

153.86.

Step-by-step explanation:

Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.

Find the area of the figure. with 4in 8in 2in 10in

Answers

Answer:

24 in total

Step-by-step explanation:

Find the area of the figure

Answers

Answer: 60 ft

Separate into 2 rectangles and add their areas together!

Vertical rectangle area: 10 x 3 = 30 ft

Horizontal rectangle area: 10 x 3 = 30 ft

Area of entire thing: 30 + 30 = 60 ft

3/1/2+1/5/6÷1/3/5
hello good afternoon can u please solve this question​

Answers

Answer:

1/2

Step-by-step explanation:

See the steps below:)

yard
April buys 14 yards of ribbon to make bows for her dance team. If she uses 11
of ribbon for the bows, how much ribbon, in yards, does April have now?
You may use the fraction model to help you.

Answers

Answer:

31

Step-by-step explanation:

I need the anwer fast pls HELP

Answers

The median is the middle number in a sorted, ascending or descending, list of numbers.

0, 0, 1, 1, 1.5, 1.5, 1.5, 1.5, 2, 2, 2, 2, 2.5, 2.5, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4.5,

Therefore, the median would be 2.5 hours.

The volume of a cube with sides 3xy^2

Answers

Answer:

27(x^3)(y^6)

Step-by-step explanation:

the steps are in the pic above

The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the value of X

Answers

X=20° is your answer

Step-by-step explanation:

X+3x+10°=90°

4x+10°=90°

4x=(90-10)°

X=80/4

X=20°

4. Function h describes the height of a ball, in inches, after n bounces and is defined by
the equation h(n) = 120 * (4/5)^n

Could h(n) be 150? Explain how you

Answers

Answer:

NO

Step-by-step explanation:

(4/5)^n will always be ≤ 1  for any positve n

The equation h ( n ) = 150 is false

No , the height of the ball cannot be 150 inches

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

h ( n ) = 120 x ( 4/5 )ⁿ

Now , substitute the value of h ( n ) = 150 , we get

150 = 120 ( 4/5 )ⁿ

Divide by 120 on both sides of the equation , we get

150 / 120 = ( 4/5 )ⁿ

On simplifying the equation , we get

5/4 = ( 4/5 )ⁿ

The equation is not true because we have a exponential decay function here. This height of the ball decreases with each bounce.

At bounce 0 the height of the ball is 120 inches, and then continuously decreases with a common factor of 4/5

Therefore , the value of h ( n ) can never be 150

Hence , the equation h ( n ) = 150 is false

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

factor b2+18b+80=

......

Answers

Answer:

(b+8)(b+10)

Step-by-step explanation:

https://www.mathpapa.com/simplify-calculator/

We can use the formula, density = mass over volume, to find the density of a substance. A square metal plate has a density of 10.2 grams per cubic cm, and mass of 21.93 grams. Calculate the volume of the plate.​

Answers

Answer:

2.15cm^3

Step-by-step explanation:

V = Mass / Density

21.93g / 10.2g/cm^3

2.15cm^3

Answer for brainlest!!!!

Answers

Answer:

Step-by-step explanation:

angle 2 and angle 7 are alternate exterior angles.so they are always equal.

angle 2=angle 7

what is the estamate of 25x1/2

Answers

Answer: 12.5

Step-by-step explanation:

1/2 of 25 is 12.5 since when added together they create 25

f(x)=3√x²-1 and f(x)=2 find x​

Answers

Answer:

5

Step-by-step explanation:

See the image below:)

The sum of a number and 4 is equal to -43. Find the number

Answers

Answer:

the number is -47..

Step-by-step explanation:

let the number be'x'

x+4= -43x= -43-4x= -47

hope it helps.

stay safe healthy and happy.

[tex]\huge\bold{Given :}[/tex]

Sum of two numbers = -43

One of the number = 4

[tex]\huge\bold{To\:find :}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\blue{The \:other \:number \:is\: -47.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]sum \: of \: the \: two \: numbers = - 43 \\ ⇢ x + 4 = - 43 \\ ⇢ x = - 43 - 4 \\ ⇢ x = - 47[/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\:-47.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( - 47) + 4= - 43 \\➪ \: - 47 + 4 = - 43 \\ ➪ \: - 43 = - 43 \\ ➪ \: \: L. H. S. = R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Take the common logarithm of both sides of
the equation. Use the power law to bring
the exponent (2x+1) down as a factor.
5(2x+1) = 8

Answers

Step 1: Take the common logarithm of both sides of the equation. Use the power property to bring the exponent, (2x+1), down as a factor.

Step 2: Solve the equation from step 1 for x. Round your final answer to the nearest hundreth.

(2x+1)*log(5) = log(8)

2x+1 = log(8)/log(5) = ~ 1.29203

2x = 0.29203

Please help!!! Trigonometry is so complicated to me

Answers

Answer:

x = 4

Step-by-step explanation:

Given that sin(13x) = cos(9x+2)

Since sintheta  = cos(90 - theta)

hence sin (13x) = cos (90 -13x)

Substitute into the original equation

cos (90 -13x) = cos(9x+2)

90-13x = 9x+2

-13x - 9x = 2 - 90

-22x = -88

x = 88/22

x = 4

Hence the value of x is 4

A triangle shaped piece of paper has an area of 36 square centimeters and a base of 6 centimeters. Find the height.

Answers

Answer:

Area=bh/2

36=6h/2

6h=72

h=72/6

h=12 ans.

Answer:

Hєíght σf tríαnglє ís 12 cm.

Step-by-step explanation:

Gívєn :-αrєα σf tríαnglє = 36 cmвαsє σf círclє = 6 cm

fínd :-Hєíght σf tríαnglє

sσlutíσn :-

lєt , lєnght σf tríαnglє вє х .

wє knσw thαt

αrєα σf tríαnglє = вαsє × hєíght / 2

➟ 36 cm = 6 × х / 2

➟ 36 cm = 6 х / 2

➟ 36 cm × 2 = 6 х

➟ 72 cm = 6 х

➟ 72 cm / 6 = х

➟ 12 cm = х

thєrєfσrє , Hєíght σf tríαnglє ís 12 cm.

Todd bought 3/8 of a pound of banana chips. He ate 1/9 of what he purchased what fraction of a pound of banana chips did todd eat?​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

He bought 3/8 of a pound and ate 1/9 of it. The equation of this problem would be:

[tex]\frac{3}{8} * \frac{1}{9}[/tex] = amount he ate

Cancel the 3 on the numerator by dividing the denominator by 3.

[tex]\frac{1}{8} * \frac{1}{3}[/tex] = [tex]\frac{1}{24}[/tex]

Thus, he ate [tex]\frac{1}{24}[/tex] pounds of chips


Bapaphi earns 360 a week.He gets a pay rise of 10%.find his new wages a week.

Answers

Answer:

396

Step-by-step explanation:

100% = 360

10% = 100% * (10/100) = 100%/10 = 360/10 = 36

previous salary plus the 10% raise = 360 + 36 = 396 =

= new salary

find the vertex of y= x^2 + 6x-55

Answers

Answer: ( − 3 , − 64 )

Step-by-step explanation:

knowledge!

Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations

Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units

Answers

Answer:

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.

A) 7 B) 6 C) 12

Answers

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

The mean number of rushing yards for one NFL team was less than 105 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis

Answers

Answer:

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

Step-by-step explanation:

The mean number of rushing yards for one NFL team was less than 105 yards per game.

At the null hypothesis, we test if the mean number of rushing yards for the team was the league's mean, which is close to 105 yards per game, that is:

[tex]H_0: \mu = 105[/tex].

At the alternate hypothesis, we test if there is significant evident to conclude that this team average is less than 105 yards per game, that is:

[tex]H_1: \mu < 105[/tex]

How should you interpret a decision that rejects the null hypothesis?

Null hypothesis rejected means that there is significant evidence to conclude that the team's mean rushing yards per game is less than 105 yards.

A rectangular sheet of paper has an area of 1/2 square feet. The length of the paper is 2 feet. What is the width of the paper in feet? asap

Answers

Answer:

1/4 ft

Step-by-step explanation:

Area is equal to length times width

A = lw

1/2 = 2*w

Divide each side by 2

1/2 ÷2 = 2w/2

1/4 = w

Answer:

1/4 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is A = lenght*width

1/2= 2*width

Width is 1/4 feet

Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.

Answers

Answer:

You FAILED to list any choices

Step-by-step explanation:

b = r + 86

Answer: r+86

Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.

Find value of x
How do I find the solution to this?

Answers

Adding all of these should equal to 180 from the way the angle is set up.

So the equation should be:

(3x + 2) + (2x + 5) + (2x - 9) = 180

You can remove parentheses as it doesn’t affect the equation since it is all addition.

Let’s first add the common variables together.

3x + 2x + 2x = 7x
2 + 5 + (-9) = -2

So now we should have:

7x - 2 = 180

Now add 2 to both sides.

7x = 182

Divide both sides by 7 to isolate x.

x = 26

So x is 26.

Answer:

3x+2+2x+5+2x-9=180(being linear pair)

7x-2=180

7x=180+2

x=182/7

x=26

Step-by-step explanation:

if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

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