Area is a squared number. We know that from the label we use when we solve problems involving area. Perimeter is a single unit label. This single unit label can also be used to find scale factor, since single unit labels are one-to-one. If the area of polygon F is 36, that means that the single unit measure was a number that was squared to get to the area. Same goes for polygon G. That means that in order to find the single unit measure of each of those we have to take the square root of the area. The square root of 36 is 6, and the square root of 4 is 2. 6:2 is the scale factor, but that can be reduced to 3:1, larger to smaller.
Given:
Triangle LJK.
LJ = 89 in, LK = 28 in and m∠L = 42°
To find:
The length of missing side JK.
Solution:
LJ = k = 89
LK = j = 28
JK = l = ?
Using law of cosine:
Substitute the given values.
Taking square root on both sides.
The length of the missing side is 70.7 in.
It’s the first answer choice
The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.
<h3>How to determine the number of ways</h3>
Given the word:
ESTABROK
Then n = 8
p = 6
The formula for permutation without restrictions
P = n! ( n - p + 1)!
P = 8! ( 8 - 6 + 1) !
P = 8! (8 - 7)!
P = 8! (1)!
P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1
P = 40, 320 ways
Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.
Learn more about permutation here:
brainly.com/question/4658834
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