<span>Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I'
</span> the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I' is<span> represents by the rule
</span><span> d. (x, y)→(x + 7, y − 7)
I ---> </span>(-8, 4)→(x + 7, y − 7)
I' →(-8 + 7, 4 − 7) = (-1,-3)
Answer:
C. His answer is correct because 12 + 1 = 13 and 15 + 10 = 25.
Step-by-step explanation:
Answer:
A) 63.36 years.
B) 100.42 years.
Step-by-step explanation:
We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.
A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.


Now let us solve for t using logarithm.



Therefore, it will take 63.36 years the population to be double.
B) Now we will find the number of years it will take the population to be triple of its size.


Now let us solve for t using logarithm.



Therefore, it will take 100.42 years the population to triple of its size.
Answer:
0.2146
Step-by-step explanation:
From the picture:
The radius of the circle = r. This means that the area of the circle = πr²
Also For the square, the length of the square = 2r, Therefore the area of the square = Length × length = 2r × 2r = 4r²
The area inside the square but outside the circle = Area of square - Area of circle = 4r² - πr² = r²(4 - π) = 0.8584r²
The ratio of the area inside the square but outside the circle to the area of the square = r²(4 - π) / 4r² = (4 - π) / 4 = 1 - π/4 = 0.2146
I'm more visual, but if you're not, and this confuses you, ask me, and I'll explain it.