Answer:
F. 8
Step-by-step explanation:
The ratio of the long side to the short side is the same in similar triangles. The long side of triangle BAD is AD, which has length 20-4 = 16.
BD/DE = AD/BD
h/4 = 16/h
h^2 = 64 . . . . . . . multiply by 4h
h = 8 . . . . . . . . . . take the square root (matches selection F)
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<em>Comment on this geometry</em>
BD = √(AD·DC) is called the "geometric mean" of the segments AD and DC. This geometry has some other geometric mean relationships as well:
BC = √(AC·DC)
BA = √(AC·AD)
Answer:the median is 20 and the lower quartile is 16.5
Step-by-step explanation:
Ron has 22 cards
number one tip in math, try to create equation!
set number of cards Ron has as x (always set x as what you are looking for)
set number of cards Tori has as (x-9) because if Ron has 9 more cards than Tori that's same thing as saying Tori has 9 cards less than Ron
Number of cards Tori and Ron has need to equal 35
Therefore,
x + (x-9) = 35
Solve:
2x-9=35
bring over 9 to other side
2x=44
divide both sides by 2
x=22
So number of cards Ron has is 22
Answer:
Therefore the concentration of salt in the incoming brine is 1.73 g/L.
Step-by-step explanation:
Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.
Let the concentration of salt be a gram/L
Let the amount salt in the tank at any time t be Q(t).
Incoming rate = (a g/L)×(1 L/min)
=a g/min
The concentration of salt in the tank at any time t is = 
g/L
Outgoing rate = 
Integrating both sides
[ where c arbitrary constant]
Initial condition when t= 20 , Q(t)= 15 gram
Therefore ,
.......(1)
In the starting time t=0 and Q(t)=0
Putting t=0 and Q(t)=0 in equation (1) we get
Therefore the concentration of salt in the incoming brine is 1.73 g/L
