Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²
First posible triangle:
hypotenuse=13 (13²=169)
leg₁=12 ( 12²=144)
leg₂=5 (5²=25)
13³=144 + 25
Answer:can be side lengths of a triangle
Second triangle:
hypotenuse=12.6 (12.6²=158.76)
leg₁=6.7 ( 6.7²=44.89)
leg₂=6.5 (6.5²=42.25)
leg₁²+leg₂²=44.89+42.25=87.14≠158.76
Answer: cannot be side lenghts of a triangle.
third triangle:
hypotenuse=13 (13²=169)
leg₁=12 ( 12²=144)
leg₂=11 (11²=121)
leg₁²+leg₂²=144+121=265≠169
Answer: cannot be side lenghts of a triangle.
fourth triangle:
hypotenuse=13 (13²=169)
leg₁=6 ( 6²=36)
leg₂=4 (4²=16)
leg₁²+leg₁²=36+16=52≠169
Answer: cannot be side lenghts of a triangle.
Answer:
y=1/4x-1
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
We will use the order of operations to solve the equation
7×8+1×40
multiplication before addition, so we do this first:
7×8=56
We change the equation to this:
56+1×40
Then we multiply:
1×40=40
We change the equation to this:
56+40
Then we add to solve:
56+40=96
Answer:
Yes the cube will fit.
Step-by-step explanation:
If we don't take into account of how wide of long the cube is and just focus on the height, the edge of a cube with a volume of 9 feet is roughly 2.08 feet. That totals to less than 27 inches, therefore the cube will fit on the shelf.
