Answer:
38
Step-by-step explanation:
90 percent of 20 = 18
18+20
= 38
Answer:
Therefore r'(t) =-k sin t i + k cos t j and |r'(t)| = k so T(t) = r'(t)/|r'(t)| = -sin t i + cos t j and T'(t) = -cos t i- sin t j . This gives |T'(t)| = 1, so using this equation, we have κ(t) = |T'(t)|/|r'(t)| = 1/k.
Step-by-step explanation:
We are already given the definition of curvature and the parametrization needed to find the curvature of the circle. In genecral the curvature κ is equal to κ(t)=|T'(t)|/|r'(t)| where r(t) is a parametrization of the curve and T(t) is the normalized tangent vector respect to the parametrization, that is, T(t)=r'(t)/|r'(t)|.
Now, using the derivatives of sines and cosines, and the definition of norm, we obtain that:
r(t) = k cos t i + k sin t j ⇒ r'(t)=-k sin t i + k cos t j ⇒|r'(t)|²=sin²t+cos²t=1
T(t) = r'(t)/|r'(t)|=-sin t i +cos t j ⇒ T'(t)= -cos t i - sin t j ⇒|T'(t)|²=cos²t+sin²t=1
Answer:
Theme: Understanding integers (5th grade)
Which integer represents this scenario?
........
Question 1: scenario: 8-point penalty
A. -8 B. 8
Answer: A
Question 2: scenario: adding 4 new pictures to an album
A. -4 B. 4
Answer: B
Question 3: scenario: 10-dollar profit
A. -10 B. 10
Answer: B
Question 4: scenario: 3 fewer centimeters of rain this year
A. -3 B. 3
Answer: A
Question 5: scenario: going down 10 flights of stairs
A. -10 B. 10
Answer: A
Step-by-step explanation:
A positive number can represent a gain or an increase.
A negative number can represent a loss or a decrease.
For Question 5:
This scenario involves a loss or a decrease. Use a negative integer to represent this scenario.
The integer -10 represents this scenario.
