Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = 
csc² x = 1 + cot² x
Given
tanθ = 
, then cotθ = 
csc²θ = 1 + ( )² = 1 + 
= 
cscθ = ± 
= ± 
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - × 
= - 
Answer:
-w − z = <4, -7>
z − w = <6, 1>
w − z = <-6, -1>
Step-by-step explanation:
Answer:
61°C
Step-by-step explanation:
Newton's Law of cooling gives the temperature -time relationship has:
T (t) = 20 + 75 е⁻(t/50)-------------------------------------------------------- (1)
where Time is in minutes (min) & Temperature in degree Celsius (°C)
During the first half hour, t = 30 mins
Substituting into (1)
T = 20 + 75 е⁻(30/50)
= 20 + 75(0.5488)
= 20 + 41.16
= 61.16°C
≈ 61°C
Answer:
x=8
Step-by-step explanation:
the y-value in the first pair decreased by half, so the x-value must double due to inverse variation.
Answer:
Step-by-step explanation:
Honestly don't even care about the points lol. You need to divide 12^7 by 12^3, which comes out to 20,736 crates needed for the shipment of toys. If that first 12 isnt to the power of 3 simply replace it with the power that it actually is and divide 12^7 by it.
