The total length of the wire needed to make this shape is 162cm
<h3>Perimeter of a triangle</h3>
The perimeter of a triangle is the sum of the external side of the triangle.
Given the following parameters
Length of one side of the outside shape = 24cm
The side length of the smaller triangle = 24/4 = 6cm
The perimeter of the smallest triangle 3(6) = 18cm
The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm
Total length of wire needed. = 3(24) + 3(18) + 36
Total length of wire needed = 72 + 54 + 36
Total length of wire needed = 162cm
Hence the total length of the wire needed to make this shape is 162cm
Learn more on perimeter of triangle here: brainly.com/question/24382052
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Answer: Six places to the right
Step-by-step explanation:
For this exercise it is important to remember that. by definition, the exponent of a number indicates the number of times you must use the same factor to multiply.
Given:

"b" is the base and "n" is the exponent.
In this case, you have the following multiplication provided in the exercise:

Notice that the base 10 has an exponent 6. This indicates the following:

By definition, moving the decimal point 6 places to the right (because there are six zeros), is the same as multiplying the decimal number 34.05 by 1,000,000.
Therefore, based on the explained, when you move the decimal point six places to the right, you get the following product.

Answer:
The variance of the profile is 0.2179.
Step-by-step explanation:
We are given the following in the question:

Variance of portfolio is given by:


Putting values, we get,

Thus, the variance of the profile is 0.2179.
Answer: 66s + 180
How:
17 s ^ { 1 } 2 + 32 s + 180
Calculate s to the power of 1 and get s.
17s\times 2+32s+180
Multiply 17 and 2 to get 34.
34s+32s+180
Combine 34s and 32s to get 66s.
Final answer should be 66s + 180