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Zigmanuir [339]
3 years ago
8

Find all solutions to the equation. cos x = - 1/2

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n

Step-by-step explanation:

Radian: x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n

Degree:  x = 120 + 360n , x = 240 + 360n

You might be interested in
Help
Rus_ich [418]

Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

7 0
2 years ago
There are 5 green, 1 red, and 1 blue book on the shelf. How many ways can they be arranged if the red and blue book are separate
zloy xaker [14]

Answer:

3,600

Step-by-step explanation:

There are 5 green, 1 red, and 1 blue book on the shelf, 7 books in total.

First, count the number of ways when the red and the blue books are not separated. If these books are not separated, you can count them as one book, so there are 6 books in total which can be arranged in

6!=1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6=720

different ways.

But red and blue books can be rearranged in two ways: blue, red or red, blue, so the number of ways books can be arranged if the red and blue book are not separated is

2\cdot 720=1,440.

Hence, the number of ways books can be arranged if the red and blue book are separated is

7!-1,440=720\cdot 7-1,440=720(7-2)=720\cdot 5=3,600

3 0
3 years ago
Find the area of the irregular figure.
Diano4ka-milaya [45]

Answer:

The area of the irregular figure is  366 cm sq.

Step-by-step explanation:

This irregular figure is made of 1 Rectangle +  1 right Triangle

<u>Area of the Rectangle:</u>

Length of the rectangle = 21 cm,

Width of the rectangle  = 14 cm

AREA of Rectangle =  LENGTH x WIDTH

          =  21 cm x 14 cm =  294 sq cm

⇒Area of the Rectangle  =   294 sq cm   ..... (1)

<u>Area of the Right Triangle:</u>

Base of the rectangle = 16 cm,

Height of the rectangle  = 21 cm -  12 cm = 9 cm

AREA of Right Triangle =  \frac{1}{2}  \times B \times H

          = \frac{1}{2} \times 16 \times 9 = 72

⇒Area of the Right Triangle   =   72 sq cm   ..... (2)

Now, area of the irregular figure  = Area of the( Rectangle  +Right Triangle)

= 294 sq cm + 72 sq cm = 366 cm sq

Hence, the area of the irregular figure is  366 cm sq.

6 0
3 years ago
2.
Iteru [2.4K]

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

5 0
3 years ago
Factor the following expression.
mel-nik [20]

Answer:

the factor of 12 is 1 2 3 4 6 12 so that

-3(n+4)

5 0
2 years ago
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