Today, everything in the store is on sale. The store offers a 20% discount.
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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
Answer:
option B is correct
Step-by-step explanation:
We have 5 spaces in the license plate:
_ _ _ _ _
we have 26 available letters, and 10 available numbers.
starting with letters:
- how many choices do i have to place the 1st letter? 26.
26 _ _ _ _
- how many choices do i have to place the 2nd letter? 26 (since we're allowed to repeat letters)
26 26 _ _ _
- how many choices do i have to place the 3rd letter? 26
26 26 26 _ _
we've used all the places for letters, (note: the exact position of the letters doesn't matter here, the first letter could've been placed anywhere in _ _ _ _ _, but the amount of possible choices for letters would always be 26).
let's move on to numbers.
- how many choices do i have to place the 1st number? 10
26 26 26 10 _
- how many choices do i have to place the 2nd number? 10
26 26 26 10 10
we've completed our number plate. Next we'll simply multiply all these numbers to get all the possible arrangements in which numbers and letters can be displayed on a license place.
option B is correct