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)]
Answer:
1526.8 ft ^3
Step-by-step explanation:
the volume of a cylinder formula is V=π x r^2 x h
= pi x 9^2 x 6
= pi x 81 x 6
=1526.8 ft ^3
I don’t know what I’m solving for so I solved for h and with that it should be h=q/2+m/2
Explanation:
15h-m=13h+q
-13h -13h
———————-
2h-m=q
+m +m
———————-
2h=q+m
/2 /2 /2
———————-
H=q/2+m/2
Answer:
5
Step-by-step explanation:
Use the distance formula 
insert the numbers into the formula 
2+1=3 and 0-4=-4
=9 and 
= 1
9+16=25
the square root of 25 is 5
