Answer:
Step-by-step explanation:
we call one side x and the other side 4x-7. Because in a rectangle opposite sides are equal we can now set up an equation.
x + x + 4x-7 +4x-7 = 180
10x - 14 = 180
10x = 194
x = 19.4
the lenght of the other side is 4(19.4)-7 = 70.6
Answer:k = 2/3
Step-by-step explanation:
When a variable y directly relates to another variable x, we can say:
y=kx
Given the equation, we can say
3y=2x
y= 2x/3
Putting the value of y from above discussion
kx = 2x/3
x is being cancelled on both sides of equation
k= 2/3
Answer:
12 mph & 4 mph
Step-by-step explanation:
Let s and s - 8 be the speed of Caitlin going on her friend and her speed on her way home respectively.
Distance = Speed × Time
Distance/Speed = Time
9/s + 9/(s - 8) = 3
9(s - 8) + 9s = 3s(s - 8)
9s - 72 + 9s = 3s² - 24s
3s² - 42s + 72 = 0
s² - 14s + 24 = 0
(s - 2)(s - 12) = 0
s - 2 = 0
s = 2
s - 12 = 0
s = 12
If s = 2, then s - 8 = - 6 < 0. We want s and s - 8 to be positive so s = 12 mph. It follows that her speed on her way home is 4 mph.
Answer:
-4
Step-by-step explanation:
-2i times (-2i) can be rewritten as (-2)^2*i^2.
Recalling that i^2 = -1, we then have (-2)^2*(-1)
Completing this evaluation, we get -4.
Answer:
As the average has increased the height of the new player must be more then the height of the player which was injured.
The difference between the previous average and the new average is 0.01 m.
Therefore the average is increased by 0.01 m.
Therefore the total height of all the players is increased by 0.01*11=0.11 m
Therefore as the increase in the total height is made by the player with height 1.85 m,the height of the player who was injured is 1.85–0.11=1.74 m
The height of the player who was injured is 1.74 m
Step-by-step explanation: