Answer: Circumference = 7.85 inches
Concept:
Here, we need to know the idea of circumference.
The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.
Circumference = 2πr
r = radius
π = constant
Solve:
<u>Given information</u>
r = (1/2) d = (1/2) (2.5) = 1.25 inches
π = 3.14
<u>Given formula</u>
Circumference = 2πr
<u>Substitute values into the formula</u>
Circumference = 2 · (3.14) · (1.25)
<u>Simplify by multiplication</u>
Circumference = (2.5) · (2.14)
Circumference = 
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Answer:
There will be 8 cats in each group.
Step-by-step explanation:
You do 24 divided by 3, which is 8. So, there will be 8 cats in each group.
9514 1404 393
Answer:
- red boat distance: 42 miles
- angle at lighthouse: 22°
Step-by-step explanation:
The Law of Cosines can be used to find the distance from the red boat to the lighthouse.
b² = l² +r² -2lr·cos(B)
b² = 18² +30² +2·18·30·cos(120°) = 1764
b = √1764 = 42
The distance from the red boat to the lighthouse is 42 miles.
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The angle at the lighthouse can be found using the law of sines.
sin(L)/l = sin(B)/b
L = arcsin(l/b·sin(B)) = arcsin(18/42·sin(120°)) ≈ 21.79°
The angle between the boats measured at the lighthouse is about 22°.
Answer:
It would be any positive slope.
Answer:
6.44
Step-by-step explanation:
subtract 6.50 by 4 which will give you 6.44