<h2>
Answer:</h2>
The ratio of the area of region R to the area of region S is:

<h2>
Step-by-step explanation:</h2>
The sides of R are in the ratio : 2:3
Let the length of R be: 2x
and the width of R be: 3x
i.e. The perimeter of R is given by:

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:
)
Hence, we get:

i.e.

Also, let " s " denote the side of the square region.
We know that the perimeter of a square with side " s " is given by:

Now, it is given that:
The perimeters of square region S and rectangular region R are equal.
i.e.

Now, we know that the area of a square is given by:

and

Hence, we get:

and

i.e.

Hence,
Ratio of the area of region R to the area of region S is:

Answer:
- T(n) = 3n² - 4
- -189 doesn't belong
Step-by-step explanation:
<u>Given sequence:</u>
<u>The first differences:</u>
<u>The second differences:</u>
<u>If the sequence is T(n) = an² + bn + c, we have:</u>
<u>Using the first and second differences work out the value of zero term:</u>
This gives us c = - 4
<u>Now we have:</u>
<u>The first term is T(1) = -1, substitute n = 1 and find the value of b:</u>
- 3(1²) + b*1 - 4 = - 1
- 3 + b - 4 = - 1
- b = 0
<u>The nth term is:</u>
<u>Now lets find if -189 belongs to this sequence:</u>
- - 189 = 3n² - 4
- 3n² = - 185
The left side is positive and the right side is negative so the answer is also negative
Answer:
Answers below
Step-by-step explanation:
7. Area of shape - area of small shape
A(s) = 5*5 = 25 - A(ss) = 3 = 25-3 = 22
8. Area of shape - area of small shape
A(s) = 4*2 = 8 - A(ss) = 1 = 8-1 = 7
The sum means that Eric is 3.3 m above sea level.
<h3>What is an addition expression?</h3>
This is a way of taking the sum of two or more expressions.
Given the following parameters
- The distance while descending = -13.7 meters
- The distance while ascending = +15.2 meters
An additional expression in the form of Descent + Ascent to represent this situation will be -13.7 + 15+ 2
<u>Calculate the sum:</u>
Sum = -13.7 + 15+ 2Sum = 3.3 meters
Hence the sum means that Eric is 3.3 m above sea level.
Learn more on sum here: brainly.com/question/24205483
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