Answer:
a = 4.762203156
Step-by-step explanation:
Given:
ab^4 = 12 and a^5b^5 = 7776
Making the equations a subject of a;
a = 12/b^4 and a^5 = 7776/b^5
Finding fifth root on both sides of equation two;
a = /b
You will get a = 6/b
Equating the two equations;
12/b^4 = 6/b
Multiplying both sides by b^4 gives:
b = = 1.25992105
We had that a = 12/b^4 so;
a = 12/1.25992105^4 = 12/2.5198421 = 4.762203156
Answer:
Step-by-step explanation:
The area of the metal frame is equal to the area of the square minus the area of the circle.
The area of the square is the side length squared:
The area of the circle is , with
being the radius:
Now find the area of the metal frame:
Factor out the GCF,
Factor out a