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) =
Answer:
use photo math ;) hope this helps
Step-by-step explanation:
it's very good
Answer:
-5
Step-by-step explanation:
The sum of all five angles is 540 degrees.
A) 4*congruent angles + 5th angle = 540
B) (5th angle) -30 = 2*cong angle
A) 5th angle = 540 -4*cong angle
B) 5th angle = 2*(cong angle) -30
Multiplying B) by -1
B) -5th angle = -2*(cong angle) +30 then adding to A)
A) 5th angle = 540 -4*cong angle
-2*(cong angle) +30 = 540 -4*cong angle
2*(cong angle) = 510
*****************************************
By trial and error I determined
each congruent angle = 95
5th angle = 160
Answer:
20cm to 30cm
Step-by-step explanation:
