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mars1129 [50]
4 years ago
8

13. Reasoning Tara graphed the following points: (3, 3),

Mathematics
2 answers:
oksano4ka [1.4K]4 years ago
4 0

Answer:

Step-by-step explanation:

Each side=6 so square.

kvv77 [185]4 years ago
3 0
It would be a triangle because there are only three different points
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Convert from rectangular to polar coordinates:Note: Choose r and θ such that r is non-negative and 0 ≤ θ < 2πa. (6,0)b. (9,9/
Anuta_ua [19.1K]

Answer:

The polar coordinates are as follow:

a. (6,2π)

b. (18, π/3)

c. (2√2 , 3π/4)

d. (2, 5π /6)

Step-by-step explanation:

To convert the rectangular coordinates into polar coordinates, we need to calculate r, θ .

To calculate r, we use Pythagorean theorem:

r = \sqrt{ x^{2} +y^{2} } ---- (1)

To calculate the θ, first we will find out the θ '  using the inverse of cosine as it is easy to calculate.

So,    θ '  = cos ⁻¹  (x/r)

If  y  ≥  0  then  θ  =  ∅

If  y  <  0  then  θ  =  2 π  −  ∅

For a. (6,0)

Sol:

Using the formula in equation (1). we get the value of r as:

r = \sqrt{6^{2} + 0^{2}  }

r = 6

And ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (6/6)

∅  =cos ⁻¹   (1) = 2π

As If  y  ≥  0  then  θ  =  ∅

So ∅ = 2π

The polar coordinates are (6,2π)

For a. (9,9/\sqrt{3})

Sol:

r = 9 + 3(3) = 18

and ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (9/18)

∅ = cos ⁻¹   (1/2) = π/3

As  If  y  ≥  0  then  θ  =  ∅

then θ  = π/3

The polar coordinates are (18, π/3)

For (-2,2)

Sol:

r =√( (-2)²+(2)² )

r = 2 √2

and ∅  = cos ⁻¹  (x/r)

∅ = cos ⁻¹  (-2/ 2 √2)

∅ = 3π/4

As  If  y  ≥  0  then  θ  =  ∅

then   θ  = 3π/4

The polar coordinates are (2√2 , 3π/4)

For (-√3, 1)

Sol:

r = √ ((-√3)² + 1²)

r = 2

and ∅  = cos ⁻¹  (x/r)

∅  = cos ⁻¹ ( -√3/2)

∅  = 5π /6

As  If  y  ≥  0  then  θ  =  ∅

So  θ  = 5π /6

The polar coordinates are (2, 5π /6)

6 0
3 years ago
(2x+(-3))/(4+4)=18/5=
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Answer:

expanded form:  x= (159)/(10) decimal form: 15.9 mixed number form: x= 15(9)/(10) hope im right

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Answer:

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Step-by-step explanation:

kasi mapiti itlog ko

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Una bolsa contiene 4 canicas azules, 4 canicas rojas y 4 canicas verdes. Sacas aleatoriamente una canica y luego otra (sin reemp
sveticcg [70]

Answer:

la probabilidad es 1/11

Step-by-step explanation:

Hay 4+4+4 = 12 canicas en total en la bolsa.

Pues la posibilidad de sacar una canica azul en el principio es 4/12 o 1/3.

Y luego, no reemplaces la canica, y hay 11 canicas en total.

Por eso la posibilidad de sacar otra canica azul después es 3/11.

Son eventos independientes, y tenemos que multiplicarlos para tener la respuesta.

1/3 * 3/11 = 1/11

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3 years ago
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