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Gelneren [198K]
3 years ago
15

Solve for the 3 sides

Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Answer:

1. x = 2√3 or 3.46

2. y = 4√3 or 6.93

3. z = 4√6 or 9.80

Step-by-step explanation:

1. Determination of the value of x.

Angle (θ) = 60°

Opposite = 6

Adjacent = x

Tan θ = Opposite /Adjacent

Tan 60 = 6 / x

√3 = 6/x

Cross multiply

x√3 = 6

Divide both side by √3

x = 6 / √3

Rationalise

x = (6 / √3) × (√3/√3)

x = 6√3 / 3

x = 2√3 or 3.46

2. Determination of the value of y.

Angle (θ) = 60°

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 60 = 6/y

√3/2 = 6/y

Cross multiply

y√3 = 2 × 6

y√3 = 12

Divide both side by √3

y = 12/√3

Rationalise

y = (12 / √3) × (√3/√3)

y = 12√3 / 3

y = 4√3 or 6.93

3. Determination of the value of z.

Angle (θ) = 45°

Opposite = y = 4√3

Hypothenus = z

Sine θ = Opposite /Hypothenus

Sine 45 = 4√3 / z

1/√2 = 4√3 / z

Cross multiply

z = √2 × 4√3

z = 4√6 or 9.80

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Answer:

540°

General Formulas and Concepts:

<u>Math</u>

  • Counting

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

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  • Sum of Angles: 180(n - 2)°

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a 5-sided polygon (irregular pentagon)

n = 5

<u>Step 2: Find Sum</u>

  1. Substitute in <em>n</em> [Sum of Angles]:                                                                    180(5 - 2)°
  2. (Parenthesis) Subtract:                                                                                   180(3)°
  3. Multiply:                                                                                                           540°
5 0
3 years ago
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Each side length of a triangle is 4 cm. What type of triangle is it?
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24. Vince spent half of the money in his wallet on a new jumper
11111nata11111 [884]

Let the money alleli initially had be x

Money after buying clothes = x-(1/2)x=(1/2)x

Money spent on shoes = (1/2)x × (1/3)x=(1/6)x

Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x

Also we know the remaining money is 1000

Therefore

(1/3)x = 1000

Multiplying 3 on both sides

X = 3×1000

X = 3000

The initial amount she had is 3000

Hope this is right!!

5 0
3 years ago
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