A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

$(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0$

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

8 0

3 years ago

A company has net working capital of $843. Long-term debt is $4,402, total assets are $6,633, and fixed assets are $4,272. What

creativ13 [48]

Answer:

Step-by-step explanation:

6633-4272-843+4402=5920

btw,wrong subject

4 0

3 years ago

Factorize 2^x+7 + 2^x+6

joja [24]

Answer:

Step-by-step explanation:

$2^{(x+ 7)} + 2^{(x+ 6 )} = 2^{x} * 2^{7} + 2^{x}*2^{6}\\\\=2^{x} *(2^{7} + 2^{6})$

$= 2^{x} * 2^{6} ( 2+ 1)\\\\= 2^{x} * 2^{6} * 3$

8 0

2 years ago