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NeTakaya
2 years ago
7

If you divide 4÷3 what would you get!

Mathematics
1 answer:
Mandarinka [93]2 years ago
3 0

Answer:

approximately 1.3

it is actually 1.3333333333

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Find the value of x to the nearest tenth.
Lana71 [14]

Answer:

x = 14.7

Step-by-step explanation:

Use Law of Sines.

7/sin20=x/sin46

cross multiply

7sin46=xsin20

divide both sides by sin20 to isolate x

x = 7sin46/sin20

x = 14.72

3 0
3 years ago
A recipe for a soup.calls for 1/3 cup of chopped onion and 2/6 cup of chopped
Anestetic [448]

Answer: 2/3

Step-by-step explanation:

5 0
2 years ago
1. Derive the half-angle formulas from the double
lilavasa [31]

1) cos (θ / 2) = √[(1 + cos θ) / 2], sin (θ / 2) = √[(1 - cos θ) / 2], tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) (x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°). The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

<h3>How to apply trigonometry on deriving formulas and transforming points</h3>

1) The following <em>trigonometric</em> formulae are used to derive the <em>half-angle</em> formulas:

sin² θ / 2 + cos² θ / 2 = 1                      (1)

cos θ = cos² (θ / 2) - sin² (θ / 2)           (2)

First, we derive the formula for the sine of a <em>half</em> angle:

cos θ = 2 · cos² (θ / 2) - 1

cos² (θ / 2) = (1 + cos θ) / 2

cos (θ / 2) = √[(1 + cos θ) / 2]

Second, we derive the formula for the cosine of a <em>half</em> angle:

cos θ = 1 - 2 · sin² (θ / 2)

2 · sin² (θ / 2) = 1 - cos θ

sin² (θ / 2) = (1 - cos θ) / 2

sin (θ / 2) = √[(1 - cos θ) / 2]

Third, we derive the formula for the tangent of a <em>half</em> angle:

tan (θ / 2) = sin (θ / 2) / cos (θ / 2)

tan (θ / 2) = √[(1 - cos θ) / (1 + cos θ)]

2) The formulae for the conversion of coordinates in <em>rectangular</em> form to <em>polar</em> form are obtained by <em>trigonometric</em> functions:

(x, y) → (r · cos θ, r · sin θ), where r = √(x² + y²).

3) Let be the point (x, y) = (2, 3), the coordinates in <em>polar</em> form are:

r = √(2² + 3²)

r = √13

θ = atan(3 / 2)

θ ≈ 56.309°

The point (x, y) = (2, 3) is equivalent to the point (r, θ) = (√13, 56.309°).

Let be the point (r, θ) = (4, 30°), the coordinates in <em>rectangular</em> form are:

(x, y) = (4 · cos 30°, 4 · sin 30°)

(x, y) = (2√3, 2)

The point (r, θ) = (4, 30°) is equivalent to the point (x, y) = (2√3, 2).

4) Let be the <em>linear</em> function y = 5 · x - 8, we proceed to use the following <em>substitution</em> formulas: x = r · cos θ, y = r · sin θ

r · sin θ = 5 · r · cos θ - 8

r · sin θ - 5 · r · cos θ = - 8

r · (sin θ - 5 · cos θ) = - 8

r = - 8 / (sin θ - 5 · cos θ)

The <em>linear</em> function y = 5 · x - 8 is equivalent to the function r = - 8 / (sin θ - 5 · cos θ).

To learn more on trigonometric expressions: brainly.com/question/14746686

#SPJ1

4 0
2 years ago
HELP ME PLZZ asap I really need it
Furkat [3]

Answer:

20) 2/32 so colour 2 boxes

21) 7/16

22) 2/60

23) 3/8

24) 35/63 or 5/9

25) 7/32

26) 45/60 or 9/12 or 3/4

27) 1/32

28) 3/21 or 1/7

29) 13/6 × 9/2

= 117/12

30) 3/4 × 17/2

= 51/8

31) 9/8 × 10/3

= 90/24

= 45/12

= 15/4

32) 16/5 × 2/3

= 32/15

sorry if theres any calculation mistake becoz i did all the calculations in mind

Step-by-step explanation:

5 0
3 years ago
Lindsay opened a lemonade stand on her street. It costs her $15.00 to buy the supplies each day, and she sells lemonade for $2.0
faust18 [17]

Answer:

83

Step-by-step explanation:

2x83=166-15

6 0
2 years ago
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