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blsea [12.9K]
3 years ago
11

Cos4x = 8 cos^4 x - 8 cos^2 x + 1Please help me prove! :D 

Mathematics
1 answer:
sesenic [268]3 years ago
3 0
From cos(2x) = 2cos^2(x) -1

cos(4x) = 2[cos(2x)]^2 -1
= 2[2cos(x) -1]^2 -1
= 2[4cos^2(x) - 4cos(x) + 1] -1
= 8cos^2(x) - 8cos(x) + 1
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A car travels 350 miles on 20 gallons of gas how many gallons will be used to travel 875 miles
tino4ka555 [31]

Hi there! You will need to do a unit rate, so you would do 20/ 350 which is a weird number 0.05714285714 , and then you multiply 0.057142857148 * 875= 50 gallons. So for 875 miles you will need 50 gallons of gas.

Hoped I helped :3

5 0
3 years ago
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going thro
vekshin1

So you need to find the volume for the rectangular prism (1) and the rectangular prism in the center of it (2)

The formula for a rectangular prism is:    

V = lwh         [Volume = length x width x height]      

1.

l = 15

w = 6

h = 6

V = lwh           Plug in the numbers

V = (15)(6)(6) = 540

2.

l = 15

w = 4

h = 4

V = lwh

V = (15)(4)(4) = 240

Next you subtract the volumes by each other because the rectangular prism in the center(2) is the hole/empty part of the rectangular prism(1)

V = V(1) - V(2)

V = 540 - 240

V = 300

5 0
3 years ago
3x 2 -7x + 4 from 5x 2 - 3x + 8.
zhenek [66]

Answer:

2x^2 +4x +4

Step-by-step explanation:

5x ^2 - 3x + 8 - (3x ^2 -7x + 4)

Distribute the minus sign

5x ^2 - 3x + 8 - 3x ^2 +7x - 4

I like to put them vertically

 5x ^2 - 3x + 8

- 3x ^2 +7x - 4

-----------------------

2x^2 +4x +4

5 0
3 years ago
Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?
Misha Larkins [42]

Answer:

Step-by-step explanation:

1.15×$42.50 = $48.875 ≅ $48.88

8 0
3 years ago
Read 2 more answers
What is x equal to in the equation 10+x=5(1/5x+2)
iren [92.7K]

Answer:

30

Step-by-step explanation:

Theorm

6 0
3 years ago
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