What's 3 and 4/9 as a decimal?

Dahasolnce [82]

Answer:

a) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$ , b) $x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$ , $x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

$\sqrt{3}\cdot \csc x - 2 = 0$

$\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0$

$\sqrt{3} - 2\cdot \sin x = 0$

$\sin x = \frac{\sqrt{3}}{2}$

$x = \sin^{-1} \frac{\sqrt{3}}{2}$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

b) The equation must be simplified first:

$\cos x + 1 = - \cos x$

$2\cdot \cos x = -1$

$\cos x = -\frac{1}{2}$

$x = \cos^{-1} \left(-\frac{1}{2} \right)$

Value of x is contained in the following sets of solutions:

$x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i$ , $\forall i \in \mathbb{N}_{O}$

$x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i$ , $\forall i \in \mathbb{N}_{O}$

7 0

3 years ago

Help ur bestie out plzzz (puppy eyes) and show me how u got the answer thx

Mama L [17]

I think the answer is D. But I am not sure if that's the right answer.

8 0

2 years ago

There are 15 clowns in a circus. Each clown has to act either happy or sad. Twelve of the clowns have red noses. Each of the sev

Neko [114]

Answer:

3

Step-by-step explanation:

<em>Each of the seven happy clowns has a red nose.</em>

This means there are (15-7) 8 sad clowns.

<em>Five of the sad clowns have red noses. </em>

This means out of 8 sad clowns, 5 have red noses. So the clowns that have to act sad and have red noses are (8-5) 3.

6 0

2 years ago

What's the unit rate for 219 heartbeats in 3 minutes?

olga2289 [7]

Easy
219/3=73Beats per minute

7 0

3 years ago

Read 2 more answers

All pieces of pizza must be square with none left over. What is the side length of the largest square pieces into which Juanita

Ber [7]

Answer:

6 in

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Juanita and samuel are planning a pizza party. they order a rectangle sheet pizza that measures 21 inches by 36 inches.? they tell the pizza maker not to cut it because they want to cut it themselves. All pieces of pizza must be square with none left over. what is the side length of the largest square pieces into which juanita and samuel can cut the pizza?

First we need to calculate the area of the rectangular pizza.

Area of a rectangle = Length × Breadth

Area of the rectangular pizza= 21×36

Area of the rectangular pizza = 756in²

Next is to equate the area of the rectangle to the area of a square.

Area of a square = L²

Therefore L² = 756

L = √756

L = √36×21

L = √36×√21

L = 6√21

This means that the length if the largest square they can cut is 6in (ignoring the irrational part of the length gotten)

7 0

2 years ago