Take the third equation and divide it by 2. If the equations are the same, they have infinitely many solutions because every point on one eq. is the same on the other. You can say they overlap.
The formula for a circumference of a circle is: C=2π<span>r
and we are given the answer as
C=16</span><span>π
Therefore we know that 16 is from the combination of multiplying 2 and r
So to find r we do the opposite of what is done. The opposite of multiplying is dividing, therefore:
16/2=8
therefore r = 8
The formula for the area of a circle is: </span>A=πr^<span>2
Since we know r = 8 we just sub it into the equation
A=</span><span>π*8^2
A=64</span><span>π or (assuming you want π to two decimal places: 3.14 then) 200.96</span>
Answer:
<em>3.7m</em>
Step-by-step explanation:
The set up will form of right angled triangle with;
the length of the wires (the hypotenuse) = 4m
The base of the tree from the wire (adjacent) = 1.5m
The height of the tree(opposite ) = x
According to pythagoras theorem;
<em>hyp² = opp²+adj²</em>
<em>4² = x²+1.5²</em>
<em>16 = x²+2.25</em>
<em>x² = 16 - 2.25</em>
<em>x² = 13.75</em>
<em>x = √13.75</em>
<em>x = 3.708</em>
<em>Hence the tree is 3.7m high (to the nearest tenth)</em>
