$(2\cos\theta-6\sin \theta)^2 +(6\cos \theta+2\sin \theta)^2\\\\=4\cos^2 \theta-24\cos \theta \sin \theta+36 \sin^2 \theta+36 \cos^2 \theta+24 \cos \theta \sin \theta+4 \sin^2 \theta\\\\=40\cos^2 \theta+40 \sin^2 \theta\\\\=40(\cos^2 \theta+\sin^2 \theta)\\\\=40$

8 0

2 years ago

At a factory, Taj produces 23 toys per hour and Rosa produces 47 toys per hour. How many hours will it take for

Kruka [31]

Answer:

7 hours

Step-by-step explanation:

47+23=70

1hour = 70 toys

? = 490 toys

Then you cross multiply:

1hour*490 toys= 490/70 = 7 hours

____________

70 toys

8 0

3 years ago

Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me

levacccp [35]

Answer:

5 units

Step-by-step explanation:

You can use the distance formula or pythagorean theorem to solve this.

Original point A: (0,0)

New point B: (3, 4)

Distance formula: $\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }$

Plug the points in:

$\sqrt{(3-0)^{2} +(4-0)^{2} }$ = 5

5 units

5 0

3 years ago

Which inequalities are true?

valentina_108 [34]

B is correct as -4 is smaller than 7
d is correct as -30 is smaller than -18
e is correct as -3 is bigger than -8

6 0

3 years ago