your answer would be 9 fish are left in the tank
By Pythagoras AB^2 = 12^2 - 6^2 = 108
AB = sqrt 108 = 10.39 to nearest hundredth
The perpendicular from M to DC will be parallel and equal to AB so it = 10.39.
Also AB^2 = CB * DB
108 = 6 * DB
DB = 108/6 = 18
so DC = 18-6 = 12
MD^2 = (1/2*12)^2 + 108 = 144
so MD = 12
it is 20 minuets that she went over on her bill
Answer:
Polynomial expression that represents the area of blanket:
If 
: 
Step-by-step explanation:
The area of the rectangle can be calculated with the formula:
Being l the lenght of the rectangle and w the width of the rectangle.
In this case, the lenght and the width are represented with:
Substitute them into :
Then:
Use Distributive property (Remember the Product of powers property: 
):
Add like terms:
(Simplied form)
Evaluate :
To solve you need to set the equation equal to 6 (the height at which the player caught the ball.
6 = -16t^2 + 70t + 4
Next put the equation in standard form by subtracting 6 from both sides
-16t^2 + 70t - 2 = 0
This equation can be simplified by dividing by 2
-8t^2 + 35t - 1 = 0
This equation cannot be factored, but we can use the quadratic formula to find a value for x. Using the equation above we can find the values for a=-8, b = 35 and c = -1.
using the quadratic formula we can solve for x
-b +/- sqrt(b^2 - 4ac)
-------------------------------
2a
The solutions are
0.03 and 4.35. as 0.03 seems an unrealistic time to hit and catch a baseball we would expect the time to be 4.35 seconds.
