Write the decimal as a fraction or mixed number in simplest form. .45454545

Answer:

The answer is below

Step-by-step explanation:

A unit circle is a circle on the coordinate plane with a radius of 1 unit. The unit circle center usually lies on the origin.

The equation of a circle is given as:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius of the circle.

As seen in the diagram attached, the center of the circle is at the origin (0, 0) and the circle is a unit circle with a radius of 1. Hence:

(x - h)² + (y - k)² = r²

(x - 0)² + (y - 0)² = 1²

x² + y² = 1

Given the point P(x, 1/2) lies on the circle. To find x, substitute y = 1/2:

x² + (1/2)² = 1

x² + 1/4 = 1

x² = 1 - 1/4 = 3/4

x² = 3/4

x = √(3/4)

[tex]x=\pm\frac{\sqrt{3} }{2} \\\\Hence\ P=(\frac{\sqrt{3} }{2},\frac{1}{2} )\ or\ P=(-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]

Step-by-step explanation:

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

Angle ABC = 4x°

Angle BAC = x°

Angle BCA = 60°

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

The value of x.

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

[tex]\longrightarrow{\green{x\:=\:24°}}[/tex] 

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

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°

➪ 4x + x + 60° = 180°

➪ 5x + 60° = 180°

➪ 5x = 180° - 60°

➪ 5x = 120°

➪ x = [tex]\frac{120°}{5}[/tex]

➪ x = 24°

Therefore, the value of x is 24°.

Now, the three angles of the triangle are

∠ ABC = 4x = 4 x 24° = 96°

∠ BAC = x = 24°

∠ BCA = 60°

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ ABC + ∠ BAC + ∠ BCA = 180°

✒ 96° + 24° + 60° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

(Note:- Kindly refer to the attached file.)

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

Possible outcomes = 6

Step-by-step explanation:

Since the spinner is divided into red, yellow, orange, purple, blue and pink

Total of 6 colors.

Answer:

Square

Step-by-step explanation:

All sides are the same, based on the "ticks" / markings

If my answer is incorrect, pls correct me!

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Answer:

rhombus, square

Step-by-step explanation:

the markings only indicate the quadrilateral is equilateral; it states nothing about the angles

so we can only select the rhombus and square which are both equilateral

Answer:

Y < 3x+2

Step-by-step explanation:

Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.

So your answer is:

y>3x+2

Answer:

[tex](x-1)^2+(y+1)^2=\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we're given:

Substituting given values, we get:

[tex](x-1)^2+(y-(-1))^2=\frac{1}{2}^2,\\\boxed{(x-1)^2+(y+1)^2=1/4}[/tex]

Answer:

The main reason why a freedman would agree to become a sharecropper is because although he was free, he was usually very poor and lacked the funds to buy farming equipment and land of his own

Step-by-step explanation:

Have a nice day :)

Answer:

The answer would be 87^2

Step-by-step explanation:

The solution is, Area of a sector is 138.23 cm².

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

The formula for the area of a sector is given as:

θ/360 × πr²

θ = 110°

Radius = r = 12 cm

Hence

Area of a sector = 110/360 × π × 12²

= 138.23007676 cm²

Approximately, Area of a sector = 138.23 cm²

Hence, The solution is, Area of a sector is 138.23 cm².

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Answer:

El número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Step-by-step explanation:

Vamos a representar

El número de facturas de

5 lempiras = x

20 lempiras = y

Nuestro sistema de ecuaciones se da como:

x + y = 25 ..... Ecuación 1

x = 25 - y

5 × x + 20 × y = 350

5x + 20y = 350 .... Ecuación 2

Sustituiríamos x por 25 - y en la ecuación 2

5 (25 - años) + 20y = 350

125 - 5 años + 20 años = 350

125 + 15 años = 350

15 años = 350 - 125

15 años = 225

y = 225/15

y = 15

Resolviendo para x

x = 25 - y

x = 25 - 15

x = 10

Por lo tanto, el número de facturas

5 lempiras = 10 billetes

20 lempiras = 15 billetes

Answer:

y = 4

cause 4 - 4 = 0

Step-by-step explanation:

i think it should be e but not shure

Answer:

x = 33

<C = 81

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+  2x+ 2x+15 = 180

Combine like terms

5x+15 = 180

Subtract 15 from each side

5x +15-15 =180-15

5x = 165

Divide by 5

5x/5 =165/5

x = 33

<C = 2x+15 = 2(33)+15 = 66+15 = 81

Answer:

x = 33

c = 81

Step-by-step explanation:

Sum of three angles of triangle = 180

x + 2x + 2x + 15 = 180

Combine like terms

5x + 15 = 180

Subtract 15 from both sides

5x = 180 - 15

5x = 165

Divide both sides by 5

x = 165 /5

x = 33

∠C = 2x + 15 = 2*33 + 15 = 66 + 15 = 81°

Answer:

c. tan^2(2x)

Step-by-step explanation:

The required simplified expression is given as tan²(2x). Option c is correct.

[CSC(4x) - cot(4x) ] / [CSC(4x) + cot(4x) to be simplified.

The process in mathematics to operate and interpret the function to make the function simple or more understandable called simplifying and the process is called simplification.

[tex]= [csc(4x) - cot(4x)] / [csc(4x) + cot(4x)] \\= [1/sin4x - cos4x/sin4x] / [1/sin4x  + cos4x/sin4x]\\= [(1-cos4x)/sin4x] / [(1+cos4x) /sin4x] - - - - (1)[/tex]
Here,
[tex]1 - cos4x = 2sin^24x[/tex]

 [tex]sin4x = 2sin2xcos2x,\\ 1+cos4x = 2cos^22x[/tex]
now put the value in equation 1
[tex]= [(2sin^22x)/2sin2xcos2x] / [(2cos^22x) /2sin2xcos2x] \\= [(sin2x)/cos2x] / [(cos2x) /sin2x] \\=tan2x/cot2x\\=tan^22x[/tex]

Thus, the required simplified expression is given as tan²(2x). Option c is correct.

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Answer:

BRO I DONT KNOW SORY I NEED POINTS

Step-by-step explanation:

Answer:

C.

[tex]slope = \frac{( - 1 - 5)}{6 - ( - 3)} \\ = \frac{ - 6}{9} \\ = - \frac{2}{ 3} [/tex]

B AND C

Step-by-step explanation:

B

AREA OF SQUARE =L²

= 7²

= 49cm²

C..

area of a rectangle Base × height

= 14 × 3

= 42cm²

Answer:

there is no image go see here

Answer:

ANSWER IS OPTION B

BC//AD

Answer:

someone plz help

Step-by-step explanation:

hmhmhmm

Answer:

A. 288.62

Step-by-step explanation:

Area of two triangles = 15.3 * 10.4 = 159.12

Area rectangle = hypotenuse triangle * 7

hypotenuse = √108.16 + 234.09

Hypotenuse = 18.5

Area rectangle = 18.5 * 7 = 129.5

129.5 + 159.12 = 288.62

Answer = A. 288.62

If my answer is incorrect, pls correct me!

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Answer:

it is because the volume of the box is 200in^2

30 dollars

Step-by-step explanation:

Answer:

3/4=ice cream

1/8=chocolate syrup

1/16=cherries

Total=3/4+1/8+1/16

[tex]\frac{3X4}{4X4} +\frac{1X2}{8X2} + \frac{1X1}{16X1} \\\frac{12+2+1}{16} = \frac{15}{6}[/tex]

Total cups =15/6=2.5 cups.

Hoped this helped!

RT cannot equal 18 because then A + B  would be equal to C which and then the sides cannot touch.

Answer:

v=56

Step-by-step explanation:

su is half qr, 2(v-66)=v-76, simplifies to v=56

Answer:

Kite is 89.52 ft off the ground

Step-by-step explanation:

We are told that the string is 200 ft long.

That the string is 5 ft off the ground at an angle of 25° to the horizontal.

I have drawn a triangle to depict this illustration with x being the height of the kite from the end of the string.

Also, I have depicted the ground level which is 5 ft below the end of the string.

From the triangle, we can calculate the height of the kite above the end of the string using pythagoras theorem.

x/200 = sin 25

x = 200 sin 25

x = 200 × 0.4226

x = 84.52 ft

Now, the bottom of the kite is 5 ft off the ground as depicted in the attachment.

Thus, height of kite above the ground = 84.52 + 5 = 89.52 ft

Answer:

0.5

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Answer:

See explanation

Step-by-step explanation:

Anand = x

Sharma = x + 3

6 years ago

Anand = x - 6

Sharma = (x + 3) - 6

= x + 3 - 6

= x - 3

Sharma age = 4 (x - 6)

Six years ago Sharma's age was four times Anand's age.

x + 3 = 4(x - 6)

x - 3 = 4x - 24

x - 4x = -24 + 3

- 3x = - 21

x = - 21/-3

x = 7

Anand = x = 7 years

Sharma = x + 3

= 7 + 3

= 10 years

Answer:

[tex]g(x) = -3x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3x[/tex]

Required

Reflect over [tex]y = 0[/tex]

This means that we reflect over the x-axis

And the rule of reflection is:

[tex](x,y) \to (x,-y)[/tex]

Hence:

[tex]f(x) = 3x[/tex]

Will become:

[tex]g(x) = -f(x)[/tex]

So, we have:

[tex]g(x) = -3x[/tex]

Answer:

c

Step-by-step explanation:

lolz trust me bae it's c eoeikejrhdjdkdkdkdkdk ur gay aaaa

Answer:

$2.40

Step-by-step explanation:

Zack needs a total of 4 feet of balsa wood which costs $0.05 per inch.

Note that 4 feet = 48 inches.

The overall cost will be ($0.05/in)(48 in) = $2.40