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ollegr [7]
3 years ago
10

Solve the equation: sin(2x)= sin x

Mathematics
1 answer:
Anna [14]3 years ago
3 0

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

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In a restaurant 72 out of 108 tables are booths. What is the ratio of tables that are booths to the total number of tables.
denpristay [2]

Answer:

The ratio of tables that are booths to the total number of tables = \frac{72}{108}

Step-by-step explanation:

The number of tables in a restaurant, p = 108

The number of table that are booths, q = 72

Then, the ratio of tables that are booths to the total numbers of tables = \frac{q}{p}

                                                                 = \frac{72}{108}

7 0
3 years ago
Items owned that can be sold for cash are known as
vampirchik [111]
Assets are anything of value owned by a person that could easily be sold for cash. These could be property such as buildings, homes or land, or items such as cars, jewelry, boats, etc.


ANSWER: Assets are items owned that can be sold for cash.

Hope this helps! :)
6 0
3 years ago
What is (x+6)(x+4)(x-3) expand and simplify
mestny [16]

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

7 0
3 years ago
What is the volume of this shape?
jenyasd209 [6]
Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed

Formula for rectangular prism V = (l*w*h)
(4*16*6) = 384 ft cubed

Adding the values: 600 ft
6 0
2 years ago
A=4ℼR2 solve for R<br> SHOW ALL STEPSSSSSSSSSSSSS
GuDViN [60]

Given problem;

  A  = 4 π R²

  To solve for R, we have to make it the subject of the expression.

Since

      A  = 4 π R² , follow these steps to find R;

    Multiply both sides by \frac{1}{4\pi }  

 A x \frac{1}{4\pi }  =  \frac{1}{4\pi } x 4 π R²

          \frac{A}{4\pi }   = R²

Then find the square root of both sides

        √R²  = \sqrt{\frac{A}{4\pi } }  

            R  = \sqrt{\frac{A}{4\pi } }

The solution is \sqrt{\frac{A}{4\pi } }

3 0
3 years ago
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