a rectangle has a perimeter of 68 inches.if the width of the rectangle is 10 inches,what is the length of the rectangle?
2 answers:
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Answer:
Step-by-step explanation:
You need to pay very close attention to the triangle similarity statement. This says that triangle NML is similar to triangle NVU. But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side. We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right. When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML. Setting up the proportion:
Filling in:
Cross multiply to get
324 = 108x
and x = 3
The explicit formula for given sequence is:
Step-by-step explanation:
Given sequence is:
-1,4,-16,64.....
We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.
Here
The explicit formula for geometric sequence is:
Putting the values of r and a1
Hence
The explicit formula for given sequence is:
Keywords: Geometric sequence, common ratio
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