Recall that
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
for all <em>θ</em>, and given that cos(<em>θ</em>) < 0, we find that
cos(<em>θ</em>) = -√(1 - sin²(<em>θ</em>)) = -√(1 - (2/5)²) = -√(21)/5
Now,
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = 1/(2/5) = 5/2
and
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>) = (-√(21)/5)/(2/5) = -√(21)/2
5 - 3lp + 4l ≤ -10
Subtract 5 from both sides.
-3lp + 4l ≤ -15
Divide both sides by -3.
|p + 4| ≤ 5
p + 4 ≤ -5 or p + 4 ≥ 5
Answer is option C. p + 4 ≥ 5 or p + 4 ≤ -5
Answer:
The correct equation in terms of s is: 4s=260
- The number of strawberry ice cream produced per day, s=65.
- The number of chocolate ice cream produced per day ,c=130.
- The number of vanilla ice cream produced per day ,v=85.
Step-by-step explanation:
Let the number of containers of strawberry ice cream produced per day=s
Let the number of containers of vanilla ice cream produced per day=v
Let the number of containers of chocolate ice cream produced per day=c
Total Number of Ice Cream Containers=280
Given:
The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:
The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:
Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280
s+s+20+2s=280
4s=280-20
4s=260
Divide both sides by 4
s=65
The number of strawberry ice cream produced per day is 65.
The number of chocolate ice cream produced per day =2s=2(65)=130.
The number of vanilla ice cream produced per day =s+20=65+20=85.
Answer:
Original Price = $ 60.00
Step-by-step explanation:
This attachment has the formula of how I calculated it.
from question d = 16t^2 = 56-4t
=》 16t^2 -56 + 4t =0
=》 4t^2 - 14 + t = 0
=》 (4t-7)(t+2) =0
=》 t = 1.75 seconds
