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)]
A because it’s the right answer
Answer: Hence, Mean height of the girls is: 1.48
Step-by-step explanation: It is given that:
in a class of 32 students .
the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.
Since there are 14 boys in a class.
So, number of girls is equal to (32-14)=18.
The mean height of 14 boys is 1.56.
Hence the sum of height of 14 boys is= 1.56×14=21.84
Similarly mean height of 32 students is 1.515.
Hence, sum of height of 32 students=1.515×32=48.48.
Let x denote the mean height of 18 girls.
Hence, sum of height of 18 girls is: 18 x.
Now,
18x+21.84=48.48
( since sum of height of girls and boys is equal to the sum of height of all the students)
so, 18x=48.48-21.84
18 x=26.64
Hence, x=1.48
Hence, Mean height of the girls is: 1.48
Let’s take a random number such as 10, for example as the divisor of the equation.
Let’s take the dividend, or numerator of the fraction be x.
The solution of the fraction would be -2.
x/10 = -2
Or, x= -2 x 10
Or, x= -20
Therefore, -20/10 = -2
Ans: The division equation would be -20/10 = -2.
Answer:
search up-area of circle formula and circumference of a circle formula
Step-by-step explanation:
