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.
The average number of languages spoken at the team is 3.
Hope this helps!!
The Pythagorean theorem is used to find the distance between two points. If that distance is "c", it satisfies the relation
... a² + b² = c²
where "a" and "b" are the horizontal and vertical differences between the point coordinates. Here,
... a = 7 - 3 = 4 . . . . horizontal difference
... b = 12 - 9 = 3 . . . . vertical difference
Then we have
... 4² + 3² = c² = 25
... c = √25 = 5
The length of AB is 5 units.
$2.25 because you have to multiply 9 by the percentage (0.25)
Answer:
6:9
Step-by-step explanation:
Lets assume the relationship between the amount of blue and red marbles are proportional. If there are 6 red marbles , then we would need need to find out how much times you multiplied 2 by to get.
6/2 is 3, which means that you multiplied the red marbles by 3 to get 6 of them.
Since the relationship between red and blue marbles is equivalent, we just need to multiply the blue marbles by 3 as well, to even it out.
3x3=9
There are 9 blue marbles if there are 6 red marbles.
