The perimeter of an equilateral triangle is 13 inches more than the perimeter of a square, and the side of the triangle is 6 in
ches longer than the side of the square. Find the side of the triangle. (Hint: An equilateral triangle has three sides the same length.)
1 answer:
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Answer:
Here we will use the relationships:
And a number:
is between 0 and 1 if a is positive and larger than 1, and n is negative.
if a is positive and 0 < a < 1, then we need to have n positive such that:
0 < a^n < 1
A)
This is between zero and 1,
B)
This is greater than 1, because the exponent is positive.
C)
Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.
D)
The exponent is negative (and pair) then the expression is between 0 and 1.
Remember that when the exponent is pair, we always have that:
(-N)^m = (N)^m
So (-7)^-2 = 7^-2
Answer:
Step-by-step explanation:
<em>See attachment for complete question</em>
Given
Required
Determine the length of VW
Perimeter is calculated as:
This gives:
Substitute values for VW, VY and Perimeter
Collect Like Terms
Divide through by 2
Collect Like Terms
Substitute 6 for x in
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,
n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.
5.3
<u>Standard Deviation</u>
We take the square root of the variance,
2.3
If you are not familiar with variance and standard deviation, just leave it.