Let ?=x
12/8= x/48
8x=576
x= 576/8
x= 72
Therefore the higher term fraction is 72/48
X = adult tickets and x+58 = student tickets
Create the equation from the problem.
x + x + 58 = 708
Combine like terms.
2x +58 = 708
Subtract 58.
2x = 650
Divide by 2.
x = 325
Therefore, your answer is:
there were 325 adult tickets sold.
(Adding 58 to that number will get you the student tickets sold which is 383 if they ask.)
Every triangle is 180 degrees, so each other angle should have 20
Answer:
- <u>The value of N is 8</u>
<u></u>
- <u>The value of the angles is 48º</u>
Explanation:
The two indicated angles are supplementary because they could be drawn as two interior angles on the same side of two parallel sides cut by a transversal.
Thus, those measure of those two angles add up 180º, which lets you to write an equation and solve for N:
And the value of the angles is:
- 8N - 16 = 8(8) - 16 = 48, or
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) = 