Step-by-step explanation:
RS = RT-ST
................
Answer:
103°
Step-by-step explanation:
The marked angles have the same measure, so ...
14x+7 = 12x +17
2x = 10 . . . . . subtract 12x+7
x = 5 . . . . . . . divide by 2
(14x +7)° = 77°
∠CEA is supplementary to the marked angles:
∠CEA = 180° -77°
∠CEA = 103°
Answer:
Step-by-step explanation:
Given that there is a function of x,

Let us find first and second derivative for f(x)

When f'(x) =0 we have tanx = 1 and hence
a) f'(x) >0 for I and III quadrant
Hence increasing in 
and decreasing in 


Hence f has a maxima at x = pi/4 and minima at x = 3pi/4
b) Maximum value = 
Minimum value = 
c)
f"(x) =0 gives tanx =-1

are points of inflection.
concave up in (3pi/4,7pi/4)
and concave down in (0,3pi/4)U(7pi/4,2pi)
A. 6 51
B. 6 42
C. 34 minutes
Answer:
Part A: 480 ounces of water are left in the water tank.
Part B: he will drink 3 tanks of water in 30 days.
Step-by-step explanation:
Part A:
5x8x16 = 6x16 = 1/2x8x16
=640 = 96 = 64
=480
Part B:
4x30 divided by (5x8) = 120 divided by 40 = 3