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Lester and Carey are 14 feet apart
Step-by-step explanation:
Mrs. Kim is teaching a 5th grade class
- She is standing 48 feet in front of Lester
- Carey is sitting to Lester's right
- Carey and Mrs. Kim are 50 feet apart
We need to find how far apart Lester and Carey
Look to the attached figure
The positions of Mrs. Kim, Lester, and Carey formed a right triangle
∵ The distance between Mrs. Kim and Carey is 50 feet
∴ The length of the hypotenuse of the Δ = 50 feet
∵ The distance between Mrs. Kim and Lester is 48 feet
∴ The length of one leg of the Δ = 48 feet
The formula of length of the sides of the right Δ is:
Substitute the length of the hypotenuse and the length of the given leg in the formula above
∵ (50)² = (48)² + (leg)²
∴ 2500 = 2304 + (leg)²
- Subtract 2304 from both sides
∴ 196 = (leg)²
- Take square for both sides
∴ 14 = leg
∵ This leg represents the distance between Lester and Carey
∴ The distance between Lester and Carey = 14 feet
Lester and Carey are 14 feet apart
Learn more:
You can learn more about the right triangle in brainly.com/question/1238144
#LearnwithBrainly
You can dispose a number of elements in a matrix-like formation with
shape if and only if
and
both divide
, and also
.
So, we need to find the greatest common divisor between and
, so that we can use that divisor as the number of columns, and then.
To do so, we need to find the prime factorization of the two numbers:
So, the two numbers share only one prime in their factorization, namely , but we can't take "too many" of them:
has "three two's" inside, while
has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include
nor
, because it's not a shared prime.
So, the greater number of columns is , which yield the following formations: