Step-by-step explanation:
cot(x) cos(x) + cot(x) = 0
cot(x) (cos(x) + 1) = 0
cot(x) = 0 or cos(x) = -1
cot(x) = 0
x = π/2, 3π/2
x ≠ 0, π
cos(x) = -1
x = π
Therefore, the answer is x = π/2, 3π/2.
Answer:
100.48 units³
Step-by-step explanation:
Volume of Cylinder: V = πr²h
- volume = pi × radius² × height
V = 3.14 × 2² × 8
V = 100.48 units³
Answer: the change in tempature was -3 degrees
Step-by-step explanation: hope this helps
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Answer:
The proportion that can be used to find x is;
(200-x)/x = 7/6
Step-by-step explanation:
Now, we want to find the proportion which can be used to find x.
From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;
this means that the ratio of their speed is 7:6
Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.
Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;
Hence;
(200-x)/x = 7/6 or x/(200-x) = 6/7
