Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. 50 Points!!

Go through second method

Area of one traingle'-

Area of two triangles=6cm²

Area of rectangle

Total:-

Answer:

Method 1

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Step-by-step explanation:

Formulae

Method 1

Area of the rectangle:

= 3 × 15

= 45 cm²

Area of the cut-out triangle:

= 1/2 × 3 × 4

= 6 cm²

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Area of the rectangle:

= 3 × (15 - 4)

= 3 × 11

= 33 cm²

Area of one triangle:

= 1/2 × (3 ÷ 2) × 4

= 3 cm²

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Answer:

I think it is (n - 5) x 4 - 7, but I am not sure.

answer:

d

perimeter = 52.56 inches

area = 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

The composite shape with trapezium and semicircle is given.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

The total perimeter = Perimeter of trapezium + Circumference of semicircle

Perimeter of trapezium = (8+10+10+20)

= 48 inches

Circumference of semicircle =πr

Here radius=8/2

= 4 inches

Now, 3.14×4 =12.56 inches

The total perimeter = 48+12.56

= 60.56 inches

Total area= Area of trapezium + Area of semicircle

Area of trapezium =1/2 (a+b)×h

= 1/2 (20+8)×8

= 28×4

= 112 square inches

Area of semicircle =πr²/2

= (3.14×4²)/2

= 25.12

Total area= 112+25.12

= 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

Answer:

[tex]\frac{x-3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex]                   Rewrite

[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex]                      Factor out GCF (3)

[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex]                 Replace b with factors

[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex]                     Factor by grouping

[tex]\frac{x-3}{x+2}[/tex]                               Final answer

For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.

I hope this helps!

Answer:

x=120°

Step-by-step explanation:

120×2=240

360-240=120

x=120

Answer:

Angle x = 120 Degrees

Step-by-step explanation:

Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees

e.g. Triangle have 3 sides

3 - 2 = 1

1 X 180 = 180

A Triangle has a total of 180 Degrees

Total Interior angle of a hexagon = 720 Degrees

Interior angle of a regular hexagon is 720 / 6 = 120

360 Degrees in a circle

360 - 120 - 120 = 120

Answer:

x = 3

y = 1

Step-by-step explanation:

x + 2y = 5 ------------(1)

3x + 5y = 14 ---------(2)

(1) × 3 : 3x + 6y = 15 ------ (3)

(3) - (2) : y = 1

y = 1, x + 2(1) = 5

x = 3

Answer:

264.54 cm

Step-by-step explanation:

Multiplying

Answer:

bh/2

Meaning :

base times height, halfed

Answer:

Step-by-step explanation:

A = hb/2 or 1/2×hb

Where h is the vertical height and b is the base length.

Answer:

24sq cm

Step-by-step explanation:

Answer:

According to my calculation it came like this.Hope the picture will help you.

Answer:

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

Answer:

25 degrees

Step-by-step explanation:

complementary angles are 90 degrees

90-65=25 degrees

Answer:

-335670

Step-by-step explanation:

Given :

Solving :

It forms a arithmetic sequence

So

a_335:-

So

S_n

Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.

In contrast, if you'd had 2<5 (two is less than five) then you would be correct.

I hope this helps!

The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The height of a right triangular prism is 11/6 inches.

Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.

The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.

Then the surface area of the prism will be

[tex]\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2[/tex]

More about the prism link is given below.

https://brainly.com/question/12649592

Answer:4x^2 π

Step-by-step explanation:

Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...

Hewo!

The answer to your first question: 4x^2 π

To your second..

First, im really sorry about your loss.. it will get better i promise.

But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..

-Nat

Answer:

If commission is 31/2 percent check first image else go through second picture

Answer:

180 - 70 = 110 degrees

Step-by-step explanation:

180 is half a circle, so the half minus 70 is 110

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{10}{12}\times \dfrac{6}{9}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{6}\times \dfrac{2}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{18}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{9}[/tex]

two correct answers :

x = -2c

or

x = -2b - 2c

Answer:

You can draw a graph.

  (-3,2)                     |

            (-2,1)            |          

      ___.__(-1,0)__ | __.____.___

                                |     (1,-1)

                                |

                                |

As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.

Hope this helps!

Answer:

14

Step-by-step explanation:

7(length) times 4(height) equals 28

28/2= 14

Answer

x=-2

Step-by-step explanation:

If x was equaled to -2 the outcome would be infinity, does this help at all?

Answer:

Step-by-step explanation:

Yes, there are certain values of x that makes given expression undefined in the set of real numbers.

x + 2 ≤ 0 ⇒ x ≤ - 2

If x ∈ ( - ∞ , - 2 ] , given expression is undefined.

Answer:

59

Step-by-step explanation:

1534/26=59

It's 59 because I used a calculator

Answer:

15)

ABCD is quadrilateral

∠MBC+∠ABC=180°

∠ABC = [tex]\tt 180-71=109^o[/tex]

The sum of all angles of quadrilateral = 360°

[tex]\tt 10x+6+12x-2+8x-1+109=360^o[/tex]

[tex]\tt 31x+112=360[/tex]

[tex]\tt 31x+112-112=360-112[/tex] ( Subtract 112 from both sides)

[tex]\tt 31x=248[/tex]  (Simplify)

[tex]\tt \cfrac{31x}{31}=\cfrac{248}{31}[/tex] (Divide both sides by 21)

[tex]\tt x=8[/tex]

___

16) Find m∠v

The polygon has 6 sides

Sum of angles:- (6-2)=180= 720°

so,

[tex]\tt 90+9x-19+111+5x+8+128+7x+3=720[/tex]

[tex]\tt 2x+321=720[/tex]

[tex]\tt 21x+321-321=720-321[/tex] ( Subtract 321 from both sides)

[tex]\tt 21x=399[/tex] (Simplify)

[tex]\tt \cfrac{21x}{21}=\cfrac{399}{21}[/tex] ( Divide both sides by 21)

[tex]\tt x=19[/tex]

Therefore, m∠v=19

____

Answer:

It's the y-int.

Step-by-step explanation:

I can't really see the graph well

Answer:

186

Step-by-step explanation:

186-50%= 93 or since 50% is half off 93×2=186.

Answer:

-10x + 11/x

Step-by-step explanation:

I think you mean to simplify

1/3x(5+(7)(4))-10

= -30x + 33/3x

= -10x + 11/x