If the volume is 56 1/4 cubic feet and the length is 7 1/2ft and the width is 3 3/4ft what is the height?
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed
Answer:
To solve the problem, the depth of the water would be equated to the position of the river bottom.
Basically
just put the coeficinets of each variable in the apropriate row
example
ax+by=c and
dx+ey=f
would go in like this
![\left[\begin{array}{ccc}a&b&|c\\d&e&|f\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%26%7Cc%5C%5Cd%26e%26%7Cf%5Cend%7Barray%7D%5Cright%5D%20)
so
3x+1=1 and
0x-1y=5
![\left[\begin{array}{ccc}3&1&|1\\0&-1&|5\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%26%7C1%5C%5C0%26-1%26%7C5%5Cend%7Barray%7D%5Cright%5D%20)
D is answer
just put the coeficinets of each variable in the apropriate row
example
ax+by=c and
dx+ey=f
would go in like this
so
3x+1=1 and
0x-1y=5
D is answer