MATHEMATICS
MIDDLE SCHOOL

Answer:

450 - 60 = 390

390 ÷ 15 = 26.

26 is the answer.

450 - 60 = 390

390 ÷ 15 = 26.

26 is the answer.

Answer: Transportation+ticket=budget

trasportation=60

budget=450

60+tickets=450

minus 60 both sides

tickets=390

they are 15 people

15 times cost per ticket=390

divide both sides by 15

cost per ticket=26

can be at max $26 per ticket

trasportation=60

budget=450

60+tickets=450

minus 60 both sides

tickets=390

they are 15 people

15 times cost per ticket=390

divide both sides by 15

cost per ticket=26

can be at max $26 per ticket

HIGH SCHOOL

Hello i'm vietnamese help me

8cos^3 (x+pi/3)= cos 3x

Answer:

Given,

∵ cos (A + B) = cos A.cos B - sin A.sin B

Also, cos 3A = 4cos³ A - 3 cos A,

( ∵ sin²x = 1 - cos² x )

By zero product property,

sin x = 0 or -2 sin 2x + √3 = 0

Where, n is an integer,

Hello,

Remember:

1) cos 3a=4cos^3 a -3cos a

2) cos (a+b)=cos a cos b- sin a sin b

3) cos π/3=1/2

4) sin π/3=√3 /2

5) cos (x+π/3)=cos x cos π/3 - sin x sin π/3=1/2(cos x -√3 sin x)

8 cos ^3 (x+π/3)=cos 3x

==> (cos x -√3 sin x)^3 =4cos^3 x-3cos x

==> cos ^3 x -3√3cos²x sin x+9 cos x sin² x-3√3 sin^3 x -4cos^3 x+3 cos x=0

==> -3 cos^3 x -3√3 sin x(cos²x+sin²x)+9 cos x sin² x +3 cos x=0

==>3 cos ^3 x +3√3 sin x-9 cos x sin² x -3 cos x=0

==>cos ^3 x - cos x +√3 sin x -3 cos x (1-cos² x)=0

==>cos^3 x - cos x +√3 sin x -3 cos x +3 cos^3 x=0

==>4cos^3 x-4 cos x +√3 sin x=0

==>4 cos x(cos²x-1)+√3 sin x=0

==>-4 cos x sin²x+√3 sin x=0

==>sin x(-4sin x cos x +√3)=0

==>sin x(-2sin 2x+√3)=0

==> sin x=0 or sin 2x=√3/2

==> x=kπ or 2x=π/3+2kπ or 2x=2π/3+2kπ

==> x=kπ or x=π/6+kπ or x=π/3+kπ

Remember:

1) cos 3a=4cos^3 a -3cos a

2) cos (a+b)=cos a cos b- sin a sin b

3) cos π/3=1/2

4) sin π/3=√3 /2

5) cos (x+π/3)=cos x cos π/3 - sin x sin π/3=1/2(cos x -√3 sin x)

8 cos ^3 (x+π/3)=cos 3x

==> (cos x -√3 sin x)^3 =4cos^3 x-3cos x

==> cos ^3 x -3√3cos²x sin x+9 cos x sin² x-3√3 sin^3 x -4cos^3 x+3 cos x=0

==> -3 cos^3 x -3√3 sin x(cos²x+sin²x)+9 cos x sin² x +3 cos x=0

==>3 cos ^3 x +3√3 sin x-9 cos x sin² x -3 cos x=0

==>cos ^3 x - cos x +√3 sin x -3 cos x (1-cos² x)=0

==>cos^3 x - cos x +√3 sin x -3 cos x +3 cos^3 x=0

==>4cos^3 x-4 cos x +√3 sin x=0

==>4 cos x(cos²x-1)+√3 sin x=0

==>-4 cos x sin²x+√3 sin x=0

==>sin x(-4sin x cos x +√3)=0

==>sin x(-2sin 2x+√3)=0

==> sin x=0 or sin 2x=√3/2

==> x=kπ or 2x=π/3+2kπ or 2x=2π/3+2kπ

==> x=kπ or x=π/6+kπ or x=π/3+kπ

HIGH SCHOOL

jeleeza got a 5 percent raise from her boss. if she was making $8 an hour, how much is she making now?

She is making 13 an hour

$13 an hour.

Hope it helps

Hope it helps

MIDDLE SCHOOL

A model boat travels at 20 cm per second. How many meters will the boat travel in 2 minutes? 240 meters

2,400 meters

24 meters

2.4 meters

Answer:

24 meters is the correct answer.

Step-by-step explanation:

Ive done this question before and its correct.

Can i get brainliest please?

Answer:

the answer to your question is 24 neters

HIGH SCHOOL

Segment VU is 2 units and segment VꞌUꞌ is 4units. Which scale factor was used to dilate figure TUVW to produce similar figure TꞌUꞌVꞌWꞌ?

In the figure the segment both VU and V'U' are horizontal, so the segment VU was scaled by a factor of 2 to dilate it and get the segment V'U'.

You can check that the same factor was used for all the segments to obtain a similar figure.

You can check that the same factor was used for all the segments to obtain a similar figure.