Answer:
101
Step-by-step explanation:
The leftover weight that can be put onto the container (x)
x = 24500 - 12300
x = 12200
The amount of crates that can be hauled into the container
x = 12200 / 120
= 101.6667
We need a whole number so we round down.
= 101
:)
Answer:
try the last one
Step-by-step explanation:
The awnser is b I hope I helped you with this question
You have 2 denominators so they need to be in the same family 5 and 10 are in the same family you take the biggest denominator and that is your common denominator and 3 + 1 =4 so 4/10 is your answer. (unless you need to simplify)
Answer:
1. sinα = +2√5/5 2. cosα = +√5/5 3. cotα = +1/2 4. secα = +√5 5. cosecα = +√5/2.
Step-by-step explanation:
1. Since tan(α) = 2 and 1 + cot²α = cosec²α
1 + 1/tan²α = 1/sin²α
1 + 1/2² = 1/sin²α
1 + 1/4 = 1/sin²α
5/4 = 1/sin²α
sinα = ±√(4/5)
sinα = ±2/√5
sinα = ±2√5/5
Since 0<α<π/2, sinα = +2√5/5
2. sin²α + cos²α = 1
(2/√5)² + cos²α = 1
4/5 + cos²α = 1
cos²α = 1 - 4/5
cos²α = 1/5
cosα = ±1/√5
cosα = ±√5/5
Since 0<α<π/2, cosα = +√5/5
3. cotα = 1/tanα = 1/2
Since 0<α<π/2, cotα = +1/2
4. secα = 1/cosα = 1/±1/√5 = ±√5
Since 0<α<π/2, secα = +√5
5. cosecα = 1/sinα = 1/±2/√5 = ±√5/2
Since 0<α<π/2, cosecα = +√5/2
