Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
You can't tell. The volume doesn't tell you the dimensions. It only tells you
what the product of the three dimensions is, but not what anyone of them is.
There are an infinite number of different possibilities.
Example: Volume = 8 cubic feet
The dimensions of the box could be
Length = 2-ft, Width = 2-ft, Height = 2-ft
or
1 x 1 x 8
or
1 x 2 x 4
or
1 x 3 x 2-2/3
or
1 x 5 x 1.6
or
1 x 6 x 1-1/3
or
1 x 7 x 1-1/7
or
2 x 3 x 1-1/3
or
2 x 5 x 0.8
or
2 x 6 x 2/3
or
2 x 7 x 4/7
or
2 x 8 x 1/2
.
.
etc.
Answer:
Attached below
Step-by-step explanation:
Coordinates of end points are;
(2,11)
(6.6,8.7)
(9,4)
Each solution region is unbounded.
The final solution region is bonded.
6000 is the correct answer
