Answer:
Distance: 8.5440037453175
Step-by-step explanation:
Distance: 8.5440037453175
Steps:
Distance (d) = √(-7 - -10)2 + (-1 - -9)2
= √(3)2 + (8)2
= √73
= 8.5440037453175
Slope and Angle:
ΔX = -7 – -10 = 3
ΔY = -1 – -9 = 8
Slope (m) =
ΔY
ΔX
=
8
3
= 2.6666666666667
θ =
arctan( ΔY )
ΔX
= 69.443954780417°
Equation of the line:
y = 2.6666666666667x + 17.666666666667
or
y =
8 x
3
+ 53
3
When x=0, y = 17.666666666667
When y=0, x = -6.625
Answer:
The angle 7 is equal to angle 1. They are vertically opposite angles.
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
171-55=x
x= 116
to get the answer plug in the numbers and to check the answer reverse do the problem
Answer:
Step-by-step explanation:
Suppose :
62% own an HDTV
16% own a computer
Using the addition rule : suggests that (62% + 16%) = 78% either own an HDTV or a computer.
The reasoning is wrong because ; since it is possible to own both an HDTV and also own a computer at the same time, the outcome of the addition rule is wrong as both events are independent. If both event cannot occur at the same time (mutually exclusive event) , then, the addition rule may be applied,. But since both can occur independently and each family can own an HDTV while also owning a computer, then the addition rule is wrong for the scenario described.
