Answer:
believe it is "the median is 82."
Step-by-step explanation:
55,66,82,89,90,92
there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.
82+89=171
171/2=85.5
hence "the median is 82." is the right answer
For number 2. The pilot flew 4 circuits and in total by the 5th day he flew 14 right?
Expand
13x - 16 - 10x = 12 - 11x
Simplify 13x - 16 - 10x to 3x - 16
3x - 16 = 12 - 11x
Add 16 to both sides
3x = 12 - 11x + 16
Simplify 12 - 11x + 16 to -11x + 28
3x = -11x + 28
Add 11x to both sides
3x + 11x = 28
Simplify 3x + 11x to 14x
14x = 28
Divide both sides by 14
x = 28/14
Simplify 28/14 to 2
x = 2
A) The answer is 24 m
x - the distance from the spot on the beach to the parking lot
Triangles that are divided by x distance is similar, and therefore:
x : 18 = 32 : x
x * x = 18 * 32
x² = 576
x = √576
x = 24
Thus, the distance <span>the spot on the beach from the parking lot is 24 m.
</span>
b) The answer is 40 m.
x - the distance from the spot on the beach to the parking lot
b - distance from the parking lot to the refreshment stand.
First, find the horizontal leg (a) of the biggest right triangle. According to the Pythagorean theorem:
a² + b² = c²
a = ?
b = ?
c = 32 m + 18 m = 50 m
Find a from the right triangle which sides are a (as a hypotenuse), x, and 18 m.
x² + 18² = a²
x = 24
24² + 18² = a²
576 + 324 = a²
900 = a²
a = √900
a = 30 m
Now, find b:
a² + b² = c²
30² + b² = 50²
900 + b² = 2500
b² = 2500 - 900
b² = 1600
b = √1600
b = 40 m
Thus the distance from the parking lot to get the refreshment stand is 40 m.