A machine is used to stamp bottle caps. If 150 bottle caps can be stamped in 30 s, the rate is _______ caps per second.
1 answer:
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Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
= 2π × 10 × =
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 10² × =
=
cm² → D
Answer:
Equivalent systems of equations review
Step-by-step explanation:
We're given two systems of equations and asked if they're equivalent.
x + 4y = 8 (1)
4x + y = 2 (2)
Interestingly, if we sum the equations in System A, we get:
Replacing the first equation in System A with this new equation, we get a system that's equivalent to System A:
This is System B, which means that System A is equivalent to System B.