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=±
Step-by-step explanation:
Answer: Fraction they both eat = 
.
Fraction of bag remains = 
Step-by-step explanation:
Given: Part of cookies eaten by Scott = 
Part of cookies eaten by sister = 
Fraction they both eat = 
Fraction of the bag remain = 
[Taking fraction of whole bag =1]
Hence, Fraction they both eat = .
Fraction of bag remains =
Find the five-number summary for the data. {231, 201, 221, 210, 225, 228, 212, 236, 225, 201, 216, 215, 231, 226, 206, 240}
pshichka [43]
Answer:
201, 206, 216, 228, 240
Step-by-step explanation:
C=$7.00
C stands for the cost, and n would be the amount of hamburgers. Since we are looking to determine the costs of 14 hamburgers we would have to then multiply 0.5 and 14.
14 x 0.5 =7
So your answer is 7 dollars
