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lianna [129]
3 years ago
8

Find all values of x in the interval [0, 2π] that satisfy the equation. 3 sin(2x) = 3 cos(x)

Mathematics
1 answer:
natita [175]3 years ago
7 0
3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0   /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,  
x 1 = π/2,  x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6,  x 4 = 5π/6.
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Today, everything at a store is on sale. The store offers a 20% discount.
kotykmax [81]

Answer:

a) $19.2

b) 0.8x

c) $17.5

Step-by-step explanation:

1. We want to find the discount price given the regular price

The discount is 20%

so the discount price will be;

24 - 20% of 24

24 - 4.8 = $19.2

b) We have this as;

x - (20% of x)

x - 0.2x = 0.8x

c) let the original price be x

x - 20% of x = 14

x - 0.2x = 14

0.8x = 14

x = 14/0.8

x = $17.5

6 0
3 years ago
What is the solution to the inequality?
nika2105 [10]
7x + 18 > -3

Subtract 18 from both sides, 
7x > -21

Divide from 7, 
x > -3

In short, Your Answer would be Option D

Hope this helps!
7 0
3 years ago
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ankoles [38]
Sally has eight-teen books.
7 0
3 years ago
Why is 6 1/2 equal to the square root of 6
Aleksandr-060686 [28]
Because It Can Be Simplified Many Ways
4 0
3 years ago
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An acute triangle has two sides measuring 8 cm and 10 cm . What is the best representation of the possible range of values for t
Mekhanik [1.2K]

Answer:

the right answer is 2 < s< 18

Step-by-step explanation:

The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.

so third side should be greater than 2 and less than 18.

So right answer is 2 < s< 18

5 0
3 years ago
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