Answer:
Amplitude is 3
Step-by-step explanation:
in y=-3sin5x
the number in front of sign is always the amplitude. Its not negative 3 because the negative simply means it reflects across the x-axis
The new value after the original value is increased by 30% is 1.3 times the original value.
<h3>
Percentage</h3>
Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:
Percentage = [(new value - original value) / original value] * 100%
Let x represent the new value and y represent the original value, hence:
30% = [(x - y)/y] * 100%
0.3 = (x - y)/y
x - y = 0.3y
x = 1.3y
The new value after the original value is increased by 30% is 1.3 times the original value.
Find out more on Percentage at: brainly.com/question/24304697
Answer:
The answer would be 50
Step-by-step explanation:
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) =
