Answer:
160
Step-by-step explanation:
10% of the candies is 16, and to get 100% from 10% is to multiply by 10.
So 10% *10 = 100%, then by association if 16 = 10%, then 16*10 will be the total 100%.
Answer:
A
Step-by-step explanation:
Answer:
0.5
Explaintion: because it is half of the 50%
Answer:
θ is decreasing at the rate of
units/sec
or
(θ) = 
Step-by-step explanation:
Given :
Length of side opposite to angle θ is y
Length of side adjacent to angle θ is x
θ is part of a right angle triangle
At this instant,
x = 8 ,
= 7
(
denotes the rate of change of x with respect to time)
y = 8 ,
= -14
( The negative sign denotes the decreasing rate of change )
Here because it is a right angle triangle,
tanθ =
-------------------------------------------------------------------1
At this instant,
tanθ =
= 1
Therefore θ = π/4
We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or
(θ)
(tanθ) =
(y/x)
( Applying chain rule of differentiation for R.H.S as y*1/x)
θ
(θ) = 
- 
-----------------------2
Substituting the values of x , y ,
,
, θ at that instant in equation (2)
2
(θ) =
*(-14)-
*7
(θ) = 
Therefore θ is decreasing at the rate of
units/sec
or
(θ) = 