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:
25
Step-by-step explanation:
5(n-8)=3n+10
5n-40=3n+10
5n=3n+50
2n=50
n=25
Answer:
Step-by-step explanation:
A straight line adds up to 180 degrees, therefore 3x+6x = 180
9x = 180
x = 20
By definition it is known that speed equals the distance between time.
Therefore, according to the definition, the last two options are the possible answers:
Let's evaluate the third option:
y = (3/2) * (1 / x)
x = 12
y = (3/2) * (1/12) = 3/24 = 1/8
The table is not fulfilled
Let's evaluate the fourth option:
y = (96 / x)
x = 12
y = (96/12) = 8
Yes, the table is met.
answer:
y = (96 / x)
Answer:
Step-by-step explanation:
<u>Firstly, we'll do prime factorization of these numbers.</u>
70 = 2 × 5 × 7
112 = 2 × 2 × 2 × 2 × 7
<u>So, The Greatest Common Factor can be written as:</u>
GCF = 2 × 7 <u>[Since Only one 2 and one 7 is common]</u>
<u></u>
Hope this helped!
<h2>~AnonymousHelper1807</h2>
