Answer:


Step-by-step explanation:
Represent trees with T and wreaths with W
Given


Solving (a): Cost of W
Substitute 3 + 4 * W for T in the second equation


Collect Like Terms


Divide through by 6


Hence, each wreath costs $16
Solving (b): Cost of T

Substitute 16 for W



Hence, each tree costs $67
The area of the Rhombus is 162√3 sq.unit , Option A is the correct answer.
<h3>What is a Rhombus ?</h3>
A rhombus is a polygon , which has four equal sides , its diagonal bisect each other at 90 degree.
Let x be the half of the other diagonal.
tan 60 = x / 9
x = 9 tan 60
x = 9√3
Area of the Rhombus = (d1 * d2 /2 )
d1 and d2 are the length of the diagonal.
Area of the Rhombus = (9*2)(2 *9√3)/2
Area of the Rhombus =162√3 sq.unit
To know more about Rhombus
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<span><span>√<span><span><span>(<span><span>3<span>x4</span></span><span>y3</span></span>)</span>2</span>⋅<span>(<span><span>6x</span>y</span>)</span></span></span><span><span><span><span>3<span>x4</span></span><span>y3</span></span>2</span>⋅<span><span>6x</span>y</span></span></span>Pull terms out from under the radical.<span><span><span>3<span>x4</span></span><span>y3</span></span><span>√<span><span>6x</span><span>y</span></span></span></span>
Answer:
3^(n+1) - 3^n / 3^(n-1) = 6