Mathematics, 18.12.2020 01:00 kay4358

Gina wilson unit 8 homework 2 I'm asking for a whole assignment but my teacher didn't even bother to explain this or get notes. She took us to finding missing angles to this.

Gina wilson unit 8 homework 2

I'm asking for a whole assignment but my teacher didn't even bother

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Answer from: rustalex6045

Gina Wilson unit 8 homework 2 correct responses are;x = 13, y = 13·√2x = y = 15·√2x = 6, y = 3·√3x = 17·√3, y = 17x = y = 10x = 50, y = 25x = y = 2·√7x = 16·√3, y = 8·√3x = 11·√3, y = 33x = 3·√2, y = 3·√6x = √10, y = 2·√10x = 4·√7, y = 8·√7x = 17·√3, y = 34·√2, z = 34x = 18·√3, y = 18, z = 9x = 14·√2, y = 7, z = 7·√3x = 8·√3, y = z = 12·√2x = 26·√3, y = 13·√3, z = 39·√2 $\displaystyle x = \frac{20 \cdot \sqrt{3} }{3}$ , $\displaystyle y = \frac{10 \cdot \sqrt{3} }{3}$ , z = 10·√2x = 6, y = 12, 12·√2x = 10·√(12), y = 30, z = 5·√12The perimeter of the triangle = 24·√5The perimeter of the square = 56·√26.25 feet75·√2 ft./sMethods used to arrive at the above responses:Background information;

The trigonometric ratios used to find the lengths of the sides of the given right triangles are;

$\displaystyle sin(30^{\circ}) = \mathbf{\frac{1}{2}}$

$\displaystyle cos(30^{\circ}) = \mathbf{\frac{\sqrt{3} }{2}}$

$\displaystyle sin(60^{\circ}) = \mathbf{\frac{\sqrt{3} }{2}}$

$\displaystyle cos(30^{\circ}) = \mathbf{\frac{\sqrt{3} }{2}}$

Solution:

1. The given triangle is a right triangle, and one of the interior angles is 45°, we have that the length of the legs are equal

Therefore, x = 13

By Pythagorean theorem, we have;

y = √(13² + 13²) = 13·√2

2. x = y

30² = x² + y² = 2·x²

x = √(30² ÷ 2) = 15·√2 = y

$3. {} \hspace {0.3 cm}\displaystyle cos(60^{\circ}) = \frac{1}{2} = \mathbf{\frac{3}{x}}$

x = 3 × 2 = 6

y = √(6² - 3²) = 3·√3

$4. \ \displaystyle sin(30^{\circ}) = \frac{1}{2} = \mathbf{\frac{y}{34}}$

34 = 2·y

y = 17

x = √(34² - 17²) = 17·√3

5. x = y

10·√2 = √(x² + y²) = √(x² + x²) = x·√2

Therefore; x = 10 = y

$6. {} \hspace{0.75cm} \displaystyle \frac{25 \cdot \sqrt{3} }{x} = \mathbf{\frac{\sqrt{3} }{2}}$

2 × 25·√3 = x·√3

x = 50

$\displaystyle \frac{y}{50} = \frac{1}{2}$

y = 25

7. x = y

x·√2 = 2·√14

x = √2·√14 = √28 = 2·√7 = y

$8. {} \hspace{0.75cm} \displaystyle \frac{24 }{x} = \frac{\sqrt{3} }{2}$

48 = x·√3

x = 16·√3

y = 8·√3

9. x = 22·√3 ÷ 2 = 11·√3

y × 2 = √3 × 22·√3 = 66

y = 66 ÷ 2 = 33

10. y = 2 × √6 = 2·√6

2·x = √3 × 2·√6

x = √3 × √6 = 3·√2

11. x = √10

y = √(10 + 10) = 2·√10

12. 4·√(21) × 2 = y·√3

y = 8·√7

x = 4·√7

13. √3 × 34 = x × 2

x = 17·√3

z = 34

y = 34·√2

14. x × √3 = 27 × 2

x = 3 × 9 × 2 ÷ √3 = 18·√3

y·√3 = 9·√3 × 2

y = 18

z = 9

15. x = 14·√2

y = 7

z × 2 = 14 ×√3

z = 7·√3

16. x = 8·√3

16·√3 × √3 = a × 2

a = 24 (The length of the side common to both triangles)

z = y

Therefore;

y·√2 = 24

y = 24 ÷ √2 = 12·√2 = z

17. z = 39·√2

x·√3 = 39 × 2

x = 26·√3

y = 13·√3

18. z·√2 = 20

z = 10·√2

x × √3 = 10 × 2

x = 20 ÷ √3

$\displaystyle x = \frac{20}{\sqrt{3} } = \underline{\frac{20 \cdot \sqrt{3} }{3}}$

y = 10 ÷ √3

$\displaystyle \underline{ y = \frac{10 \cdot \sqrt{3} }{3}}$

19. x = 6

y = 12

z = 12·√2

20. z·√2 = 10·√6

z = 5·√12

x = 10·√12

y = 10·√12 × √3 ÷ 2 = 30

21. 4·√15 × 2 = s×√3

s = 8·√5

s = The length of one side of the equilateral triangle (all angles are 60°)

The perimeter of the equilateral triangle = 3 × s = 3 × 8·√5 = 24·√5

22. s·√2 = 28

s = The length of a side of the square

s = 14·√2

The perimeter = 4 × 14·√2 = 56·√2

23. The length of the ramp = 2 × 37.5 inches = 75 inches

75 inches = 75 inches ÷ 12 inches/feet = 6.25 feet

24. The length of the sides of the infield of the baseball field = 90 feet

The distance from third to first base = The diagonal of the infield = 90·√2 ft.

The horizontal speed of the ball, v = 90·√2 ft. ÷ 1.2 s = 75·√2 ft./s

Learn more about trigonometric ratios here:

link

Answer from: Quest

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction: this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology: the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion: the last is the discussion, this can be either by management people or persons who are all interested , etc.

Answer from: Quest

nothjing

step-by-step explanation:

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Gina wilson unit 8 homework 2 I'm asking for a whole assignment but my teacher didn't even bother t...