help me find the missing sides

Answer:

Given that we have;

[tex]sin \left (\dfrac{x}{2} \right ) = \sqrt{\dfrac{1 - cos (x)}{2} }[/tex]

By the application of the law of indices and algebraic process of adding a and subtracting a fraction from a whole number, we have;

[tex]\therefore \dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( \dfrac{1 + cos (x)}{2} \right)}{\left (\dfrac{3 - cos (x)}{2} \right ) } =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

Step-by-step explanation:

An identity is a valid or true equation for all variable values

The given equation is presented as follows;

[tex]\dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

From trigonometric identities, we have;

[tex]sin \left (\dfrac{x}{2} \right ) = \sqrt{\dfrac{1 - cos (x)}{2} }[/tex]

[tex]\therefore sin^2 \left (\dfrac{x}{2} \right ) = \dfrac{1 - cos (x)}{2}[/tex]

[tex]1 - sin^2 \left (\dfrac{x}{2} \right ) = 1 - \dfrac{1 - cos (x)}{2} = \dfrac{2 - (1 - cos (x))}{2} = \dfrac{1 + cos (x))}{2}[/tex]

[tex]1 + sin^2 \left (\dfrac{x}{2} \right ) = 1 + \dfrac{1 - cos (x)}{2} = \dfrac{2 + 1 - cos (x))}{2} = \dfrac{3 - cos (x))}{2}[/tex]

[tex]\therefore \dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( \dfrac{1 + cos (x)}{2} \right)}{\left (\dfrac{3 - cos (x)}{2} \right ) } =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

[tex]\therefore \dfrac{\left ( 1 - sin^2 \left (\dfrac{x}{2} \right ) \right )}{\left ( 1 + sin^2 \left (\dfrac{x}{2} \right ) \right )} =\dfrac{\left ( 1 + cos (x))}{(3 - cos (x))}[/tex]

Answer:

[tex](c)\ 0.63 > 0.48[/tex]

Step-by-step explanation:

Given

[tex]0.63[/tex] and [tex]0.48[/tex]

Required

Which compares them correctly

[tex](a)\ 0.63 < 0.48[/tex]

This is incorrect because 0.63 is greater

[tex](b)\ 0.48 = 0.63[/tex]

This is also incorrect because 0.63 is greater

[tex](c)\ 0.63 > 0.48[/tex]

This is also correct because 0.63 is greater

[tex](d)\ 0.48 > 0.63[/tex]

This is also incorrect because 0.63 is greater

Answer:

11

Step-by-step explanation:

[tex]\left(6x+4\right)+10x=180[/tex]

[tex]16x+4-4=180-4[/tex]

[tex]16x=176[/tex]

[tex]\frac{16x}{16}=\frac{176}{16}[/tex]

[tex]x=11[/tex]

Answer:

2.6

Step-by-step explanation:

Just divide 5 by 13 to get 2.6 then times 5 and 2.6 is 13

Answer:

B

Step-by-step explanation:

Y=MX+C , where y=slope intercept, m=gradient and C=y-intercept

-5=6(-6)+c

-5=-36+c

-5+36=c

C=31

Hence,

y=MX+c

y=6x+31

Answer:

One student has lived in 7 states

Step-by-step explanation:

Answer:A

Step-by-step explanation:line segment

[tex]2\frac{1}{8} - \frac{1}{2} = \frac{8*2+1}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1*4}{2*4} = \frac{17}{8} - \frac{4}{8} = \frac{17-4}{8} = \frac{13}{8} = 1\frac{5}{8}[/tex]

Answer:

The surface area is multiplied by 1/4.

Step-by-step explanation:

Answer:D..the diagonals bisect each other. Since bisectors divide the diagonals equally in two parts.

Answer:

C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=3.14 x 22m x 22m

A=69.08m x 22m

A=1519.76m2 (squared po yan)

Answer:

A=3

Step-by-step explanation:

so the scale factor from ABC to DEF is 1/4. so 8*1/4 is 2 which is what they give us. so 12 *1/4 would be 3. The area of DEF is 3.

9514 1404 393

Answer:

Step-by-step explanation:

The graph of this square root function extends upward and to the right of the point (-5, -1). The domain is the horizontal extent of the graph, so is ...

  x ≥ -5

The range is the vertical extent of the graph, so is ...

  y ≥ -1

9514 1404 393

Answer:

  m∠c = 52°

Step-by-step explanation:

Corresponding angles are congruent:

  13x +11° = 15x -7° . . . . . the corresponding angles have equal measures

  18° = 2x . . . . . . . . . . . . add 7° -13x to both sides

  9° = x . . . . . . . . . . divide by 2

Now, we can find c. It is supplementary to the corresponding angles.

  c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x

  m∠c = 52°

Answer:

Step-by-step explanation:

in complementary angles sum of two angles is always 90 degree .

2x+18+6x-8=90

8x+10=90

8x=90-10

x=80/8

x=10

angle B=6x-8

=6*10-8

=60-8

=52 degree

therefore angle B is 52 degree

Answer:

Multiply the radius, r, by 2. Keep the angle measure x.

Step-by-step explanation:

The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.

The area of the sector given is -

A = {x/180} x πr²

For the area to be double, we can write the area of the sector as -

A{new} = 2 × {x/180} × πr²

A{new} = {x/90} × πr²

Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².

To solve more questions on sectors, visit the link-

brainly.com/question/29014197

#SPJ2

Answer:

decreases by about 5 beats per minute

His resting heart beat is about 80 beats per minute

Answer:

16°

Step-by-step explanation:

2x° + 6° = 38°

x° = (38°- 6°)÷2=16°

Answer:

indeed it does

Step-by-step explanation:

wheres the diagram exactly?

9514 1404 393

Answer:

  C.  17.25

Step-by-step explanation:

The product of distances from the common point to the two circle intersection points is the same for each secant.

  5(5+12) = 4(4+a)

  69 = 4a . . . . . . . . subtract 16, simplify

  17.25 = a . . . . . . . divide by 4

Answer:

B

Step-by-step explanation:

graph A does not appear to pass the 'vertical line test'

Step-by-step explanation:

area of the triangle

1/2xbxh

1/2(12x9)

1/2(108)

area of triangle is 54in²

area of rectangle

2(L+W)

2(15+6)

2(21)

area of rectangle is 42in²

Total area is 96in²

Answer:

323

This link could help u understand:

https://www.you tube.com/watch?v=HtXPpqKud5U

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

Sales price of article = 629 naira

Step-by-step explanation:

Given:

Discounted rate = 15%

Marked price of article = 740 naira

Find:

Sales price of article

Computation:

Sales price of article = Marked price of article [1 - Discounted rate]

Sales price of article = 740[1 - 15%]

Sales price of article = 740[1 - 0.15]

Sales price of article = 740[0.85]

Sales price of article = 629 naira

Answer:

[tex]G = (-1.5,1.5)[/tex]

Step-by-step explanation:

Given

[tex]M = (-7,5)[/tex]

[tex]A = (6,5)[/tex]

[tex]T = (4,-2)[/tex]

[tex]H = (-9,-2)[/tex]

Required

Determine the coordinate of G

From the complete question, G is at the intersection of MT and AH.

So, G is calculated using midpoint formula

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

For MT:

[tex]M = (-7,5)[/tex]      [tex]T = (4,-2)[/tex]

[tex]G = \frac{1}{2}(-7 + 4, 5 -2)[/tex]

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

To show that [tex]G = (-1.5,1.5)[/tex]

We have:

[tex]A = (6,5)[/tex]       [tex]H = (-9,-2)[/tex]

[tex]G = \frac{1}{2}(x_1 + x_2, y_1 + y_2)[/tex]

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

[tex]G = \frac{1}{2}(-3, 3)[/tex]

Open bracket

[tex]G = (-1.5,1.5)[/tex]

Hence, the coordinates of G is:

[tex]G = (-1.5,1.5)[/tex]

Answer:

30

Step-by-step explanation:

40/100 x 50= 20

50-20=30

Answer:

30.00

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

if you add all of them together u get 108 divide it by 44 and u get 24

Answer:

70

Step-by-step explanation:

∠J and ∠K are supplementary angles

Supplementary angles have a sum of 180°

Thus, ∠J + ∠K = 180

110 + ∠K = 180

subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

we're left with ∠K = 70°

Answer:its C because the base is the bottom of the figure and C goes to the middle point at the bottom of the figure

Step-by-step explanation:

Answer:

A triangle is dilated by scale factor of 1/5

Step-by-step explanation:

A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.

Answer:

1. 24w+8

2. 4s+28t

3. 150-75b