Answer:
25%
Step-by-step explanation:
Answer:
Area of equilateral triangle = 81√3 cm²
Step-by-step explanation:
Given:
Perimeter of an equilateral triangle = 54 cm
Find:
Area of equilateral triangle
Computation:
Perimeter of an equilateral triangle = 3 x Side
54 = 3 x Side
Side of equilateral triangle = 54 / 3
Side of equilateral triangle = 18 cm
Area of equilateral triangle = [√3/4]side²
Area of equilateral triangle = [√3/4][18]²
Area of equilateral triangle = [√3/4][324]
Area of equilateral triangle = [√3][81]
Area of equilateral triangle = 81√3 cm²
The correct answer is C)
.
Since it is a geometric sequence, we multiply by a constant, r, each time to find the next term.
g₂ = -8
g₅ = 512
g₂ * r * r * r = g₅
-8(r)(r)(r) = 512
-8r³ = 512
Divide both sides by -8:
-8r³/-8 = 512/-8
r³ = -64
Take the cubed root of both sides:
∛r³ = ∛-64
r = -4
Now we work backward from g₂ to find g₁:
-8/-4 = 2
We have that g₁ = 2 and r = -4. This gives us