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Answer:
The fraction is 1/4
Step-by-step explanation:
we know that
The area of an equilateral triangle, using the law of sines is equal to
where
x is the length side of the triangle
In this problem
Let
b ----> the length side of the regular hexagon
2b ---> the length side of the equilateral triangle
step 1
Find the area of the six triangles
Multiply the area of one triangle by 6
we have
substitute
step 2
Find the area of the regular hexagon
Remember that, a regular hexagon can be divided into 6 equilateral triangles
so
The area of the regular hexagon is the same that the area of 6 equilateral triangles
we have
substitute
step 3
To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles
Let's begin by listing out the information given to us:
number of cards = 600
Sale price = $100
Each pokemon card is worth:
Each pokemon cards would sell for 17 cents each
Answer:
Option b is correct.
The common ratio for the given geometric sequence is;
Step-by-step explanation:
The given sequence is; -96, 48 , -24, 12 , -6, .....
Since, given sequence is Geometric
Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)
In general we write geometric sequence as;
where a be the first term and r is the common ratio.
On comparing the given sequence with general geometric sequence;
we get
a = -96 ......[1]
ar = 48 ......[2]
ar^2 = -24 .....[3]
and so on....
To find the common ratio i.e, r;
Divide equation [2] by [1];
Simplify:
Similarly,
by dividing the equation [3] by [2] we get;
Simplify:
As, you can see that the value of r is constant i.e, in the given sequence.
Therefore, the common ratio for the given geometric sequence is;