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)]
The expected number out of 1000 selected college seniors that completed 1 job application through the career
centers is given by 0.011 x 1000 = 11 which is close to 14.
The expected number out of 1000 selected college seniors that completed 2 job application through the career
centers is given by 0.115 x 1000 = 115 which is far away from 15.
The expected number out of 1000 selected college seniors that completed 3 job application through the career
centers is given by 0.123 x 1000 = 123 which is close to 130.
Therefore, the result that would be suprising is "15 seniors completed 2 job applications through the career
center."
It depends what your trying to get close to. If your trying to get close to a number that is easier to work with 1 4/8 is good because its the same as 11/2 but the closest whole number is 1.
Answer: Answer and explanation in pic
Step-by-step explanation:
Answer:
the area of the mat = total area added minus the original area of the water color painting.
length of the mat is:
L = 21 in + 3 in + 3 in because 3 in is added to each side
L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in
Area mat = (27 in x 17 in) - ( 21 in x 27 in)
area mat = 108 sq in is the area of the mat