Answer:
10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
Step-by-step explanation:
In this question, we are tasked with writing the product as a sum.
To do this, we shall be using the sum to product formula below;
cosαsinβ = 1/2[ sin(α + β) - sin(α - β)]
From the question, we can say α= 5x and β= 10x
Plugging these values into the equation, we have
10cos(5x)sin(10x) = (10) × 1/2[sin (5x + 10x) - sin(5x - 10x)]
= 5[sin (15x) - sin (-5x)]
We apply odd identity i.e sin(-x) = -sinx
Thus applying same to sin(-5x)
sin(-5x) = -sin(5x)
Thus;
5[sin (15x) - sin (-5x)] = 5[sin (15x) -(-sin(5x))]
= 5[sin (15x) + sin (5x)]
Hence, 10cos(5x)sin(10x) = 5[sin (15x) + sin (5x)]
of is
Solution:
Given of what number is .
Let us first convert the mixed fraction into improper fraction.
Now, let us take the unknown number be x.
Do the cross multiplication.
Now, again change the improper fraction into mixed fraction.
Hence of is .
You would have to make a point at 6/3 and go down one and to the left 7... then your answer would be -1/2 sooo D=-1 hope this helps
Answer:
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
Step-by-step explanation:
Let number of box seats =
Let number of lower deck seats =
Let number of upper deck seats =
As per question statement:
...... (1)
Cost for box seat = $10
Cost for box seats = 10
Cost for lower deck seat = $8
Cost for lower deck seats = 8
Cost for lower deck seat = $5
Cost for lower deck seats = 5
As per question statement:
..... (2)
..... (3)
Putting value of in (1) and (2):
....... (4)
8 (4) - (5):
10000
By (3):
Now, by equation (1):
= 5000
Number of box seats = 1000
Number of lower deck seats = 5000
Number of upper deck seats = 4000
I think the answer is D but i could be wrong