a truss For the roof of the house is constructed from two identical right angles each has a base of 12 ft and height of 4 ft Find the length of the third side of each truss. round your answer the th nearest 10th

Each truss has a third side length of 12.6 ft

Step-by-step explanation:

We'll use the Pythagorean Theorem, relating the three sides of a triangle with

a^2 + b^2 = c^2

The base and height are a and b respectively.

The third side (the hypotenuse) is c

So

(12)^2 + (4)^2 = c^2

144 + 16 = c^2

160 = c^2

c =

12.6 ft

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.