Answer:
Area A = 72.25 sq. units
Circumference C = 17
Step-by-step explanation:
The diameter, d of the circle is given to be 17mm.
Since, 2r = d, where r is the radius r = mm.
Area A of the circle is given by sq. units.
Therefore, A = = 72.25 sq.mm.
Also, Circumference, C = units.
Therefore, C = = 17
units.
Lester and Carey are 14 feet apart
Step-by-step explanation:
Mrs. Kim is teaching a 5th grade class
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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