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:
x = -3. Y = 12
Step-by-step explanation:
the answer is D
Answer:
the first one is
+2 +4 + 8 + 16 +32
he multiply by 2 every time he add numbers so its 65
the second one he make this
-8 -4 -2 -1
every time he Take from numbers he devide by 2
so its 5
the third one
+6 +18 + 54 + 162
every time he add he multiply by 3
ao its 162 +80 =242
the fourth one is
+33 +66 + 132 +264
he multiply by 2 every time he add
so its 267+264=531
the fiveth one is
he put the roots
2²,3²,4²,5²,6²
so the answer is 36
Step-by-step explanation:
A 65
B 5
C 242
D 531
E 36
hopefully its helpful man
Answer:
64.3 lumens
Step-by-step explanation:
Data provided in the question:
Length of the testing chamber = 35 cm
Light at one end = 10 lumens
Light at other end = 200 lumens
now,
since the variation is linear,
therefore, the gradient of the variation
= 
= 5.43
also,
the darkest end is the end with 10 lumens
therefore,
The lumens at 10 cm from the darkest end
= 10 + 5.43(10)
= 10 + 54.3
= 64.3 lumens
