You may recognize the numbers as belonging to the (5, 12, 13) Pythagorean triple. The runners traveled 12 km west after traveling 5 km south. Their total distance was ...
5 km +12 km = 17 km
_____
By the Pythagorean theorem, ...
(straight-line distance)² = (distance south)² +(distance west)²
In km, this is
13² = 5² +(distance west)²
169 -25 = (distance west)²
√144 = 12 = distance west
4 and square root 3
Hope you understand what I mean!
Answer:
The answer is 2/5
Step-by-step explanation:
10/15 simplified is 2/5
We can utilize the Pythagorean theorem to answer this.
11 is the hypotenuse in this case, and 2 is one of the legs.
11² = 2² + x² =
121 = 4 + x²
117 = x²
√117 = x
Answer = √117
Answer:
an=7.35+ 0.33(n-1)
Step-by-step explanation:
The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n.
We are given values for n=7 and n=12 as a7=9.33 and a12=11
So, we proceed from the options and check which an satisfies these values:
an = 7.35 + 0.33(n-1)
when n = 7:
an = 7.35 + 0.33 (7-1)
an = 9.33
when n = 12:
an = 7.35 + 0.33 (12-1)
an = 10.98≈11
Hence, correct option is:
an=7.35+ 0.33(n-1)
