We will use double angle identities:
cos (5x ) = sin (10x )
cos (5x ) = 2 cos (5x ) sin ( 5x )
cos ( 5 x) - 2 cos ( 5 x ) sin ( 5x ) = 0
cos ( 5 x ) · [ 1 - 2 sin (5 x) ] = 0
cos ( 5 x ) = 0 or : 1 - 2 sin (5 x) = 0
5 x = π/2 +kπ, k∈Z sin (5 x) = 1/2
x1 = π/10 + kπ/5 5 x = π/6+2kπ , k∈ Z
5 x = 5π/6 +2kπ , k∈ Z
x 2 = π/30 +2kπ/5
x 3 = π/9 + 2kπ/5
The striped rectangle has a total area of 69,375 cm².
<h3>How to calculate the area of the
striped rectangle?</h3>
To find the area of the striped rectangle we must carry out the following procedures.
Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.
According to the above, we infer that each square has an area of 4.625cm².
On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.
Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.
15 × 4.625cm² = 69.375cm²
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Answer:
10
Step-by-step explanation:
10+10+10+10+10+10+10+10+10+10=100
50 adult tickets and 20 children tickets were sold for the concert.
Step-by-step explanation:
Given,
Number of concert tickets sold = 70
Revenue generated = $550
Cost of each adult ticket = $9
Cost of each child ticket = $5
Let,
x be the number of adult tickets sold
y be the number of child tickets sold
According to given statement;
x+y=70 Eqn 1
9x+5y=550 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 4
Putting x=50 in Eqn 1
50 adult tickets and 20 children tickets were sold for the concert.
Keywords: linear equation, elimination method
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Answer:
5x
Step-by-step explanation:
It is the constant slope 5 over 1
