Answer:
y(0) = 0.25 feet
Step-by-step explanation:
We are given the following information in the question:
The displacement from equilibrium of an oscillating weight suspended by a spring =
where y is the displacement in feet and t is the time in seconds.
Here, cos is in radians.
1) t = 0
y(0) = 0.25 feet
2) t = 
3) t = 
The negative sign indicates the opposite direction of displacement.
Answer:
10.05 meters
Step-by-step explanation:
If the diameter is 3.2 meters, then the radius is 1.6 meters.
Use the circumference formula, C = 2
r, and solve for C
C = 2r
C = 2(1.6)
C = 3.2
C = 10.05
So, to the nearest hundredth of a meter, the circumference is 10.05 meters
Answer:
complementary
Step-by-step explanation:
The total angle is a right angle. Complementary angles are angles that add up to 90 degrees. Right angles are 90 degrees so the answer is complementary.
Answer:
A) p = 6
Step-by-step explanation:
Given equation:
3(p - 5) = 5p -27
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Apply the <u>Distributive Property of Multiplication over subtraction law</u>:
⇒ 3 · p - 3 · 5 = 5p - 27
⇒ 3p - 15 = 5p - 27
Add 27 to both sides:
⇒ 3p - 15 + 27 = 5p - 27 + 27
⇒ 3p + 12 = 5p
Subtract 3p from both sides:
⇒ 3p - 3p + 12 = 5p - 3p
⇒ 12 = 2p
⇒ 2p = 12
Divide both sides by 2:
⇒ 2p ÷ 2 = 12 ÷ 2
⇒ p = 6
