The measure of c is _____?
1 answer:
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Answer: f(x) = 1.2(x/2) if 120 ≤ x ≤ 240
Step-by-step explanation:
Let, she made f(x) sundaes in x minutes.
Then according to the question,
She just makes sundaes for a single shift of at most 4 hours and at least 2 hours,
⇒ She can make sundaes for a single shift of at most 240 minutes and at least 120 minutes,
That is, 120 ≤ x ≤ 240
Now, She can prepare 1 sundae every 2 minutes,
⇒ She can prepare 1/2 sundae every 1 minutes,
⇒ She can prepare x/2 sundae every x minutes,
Also, she earns $1.20 for each sundae she makes.
Thus, her total earning in x minutes,
⇒
Where, 120 ≤ x ≤ 240
Which is the required function related her earnings to the number of minutes she works.
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
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