27= 3x3x3
54 = 3x3x3x2
so 27/54 = 3x3x3 /<span>3x3x3x2 by simplifying = 1/2</span>
Answer:
Step-by-step explanation:
When 3 is divided by 2, the quotient is 1 and remainder is 1
Whole number is the quotient.
Fraction : <u>remainder</u>
divisor

Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6
Answer:

Step-by-step explanation:
Given


Required
Find the composite function g(f(d))
We have:

Substitute f(d) for H+

Substitute

Apply law of logarithm

Hence, the function is:
