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)]
He answered .85, 85% or 17/20 correct on the test.
Yes not sure though but I want to say yes
Answer:
The results are statistically significant because planting hardwood trees have a higher profit per acre.
Step-by-step explanation:
From the question above,
It shows that hardwood trees had a 46% higher Profit per acre than softwood trees.
Meaning that for every $100 made on softwood trees, $146 profit would be made on hardwood trees i(including both primary and secondary expenses; making the hardwood trees more profitable.
The information given is enough to reach a conclusion that planting hardwood trees have a higher profit per acre than softwood trees.
