Answer:
160
Step-by-step explanation:
5x-10+12x=16x
17x-16x=10
x= 10
exterior angle at C = 16x= 16×10 = 160°
The range is the set of all valid
y
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
Answer:
t= 12.9 years
Step-by-step explanation:
Value after t years = initial value ( 1 - r )^t
Where,
Value after t years= $5000
Initial value = $22,400
r= depreciation rate = 11%
t= length of time (years)
Value after t years = initial value ( 1 - r )^t
5000 = 22,400 ( 1 - 0.11)^t
5000 = 22,400(0.89)^t
Divide both sides by 22,400
(0.89)^t = 5000 / 22,400
(0.89)^t = 0.2232
Take the log of both sides
t log 0.89 = log 0.2232
t= log 0.2232 / log 0.89
= -0.6513 / -0.0506
= 12.87
t= 12.9 years
Answer:
78mm^2
Step-by-step explanation:
based on the information given, we can tell that the shape of the MP3 player is a rectangle. The formula for the surface area of a rectangle is SA=2WL+2LH+2HW
SA = Surface Area
W = Width
L = Length
H = Height
SA = 2(4)(7) + 2(7)(1) + 2(1)(4)
= 2(28) + 2(7) + 2(4)
= 56 + 14 + 8
= 78
