This is another one for my "impossible math question" file. All of the answer choices are wrong. (None applies.)
According to the problem statement, the length you have marked "x" in the diagram is 15 inches. If the side length of one of the pavers is "s", then the Pythagorean theorem tells us
s² + (2s)² = 15²
5s² = 225
s² = 225/5 = 45 . . . . . . the area of one square is 45 in² (not 225 in²)
Then
s = √45 = 3√5 . . . . . . . the length of one side is not 5√3
so the perimeter is
p = 4s = 4·3√5 in = 12√5 in ≈ 26.83 in . . . . not 75 inches.
The area of the 6-block L-shaped path is
total area = 6s² = 6·45 in² = 270 in² . . . . not 450 in²
And the total perimeter is 14 sides, so is
total perimeter = 14s = 14·3√5 in = 42√5 in . . . . not 60√3 in
_____
In cases like this where the answer key is incorrect, you might try asking your teacher show the class how to work the problem.
Answer:
The population of the students at the University after 5 years is <u>442</u>.
Step-by-step explanation:
Given:
Current population of students is, 
Growth rate is, 
Time after which population is needed is, 
Let 'P' be the population after 't' years.
Population growth is an exponential growth and the equation to determine the population after 't' years is given as:
Now, plug in 400 for 
, 0.02 for 'r', 5 for 't' and solve for 'P'. This gives,
Therefore, the population of the students at the University after 5 years is 442.
What’s the area of the semi circles and square?
He had walked 8 blocks, and that was 25% (or .25) of the distance to the school. Let’s let “D” represent the total distance...
D x .25 = 8 blocks
Divide both sides of the equation to solve for D...
D = 8 / .25 = 32
So the total number of blocks to his school is 32.
It would be 45. Hope this helps!
