Answer:
D.
Step-by-step explanation:
with questions like this try using Desmos
Step-by-step explanation:
step 1. what is 4^2?
step 2. 16.
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:
147 
Step-by-step explanation:
7*7*3 = 147
volume of a rectangular prism = length*width*height, in this case, 7*7*3
hope this helps :)
Answer:
6% monthly
Step-by-step explanation:
The monthly rate being compounded when the interest is 6% per year is ...
6%/12 = 0.5%
so the multiplier each month is
1 + 0.5% = 1.005
___
The monthly multiplier when 5.86% is compounded continuously is ...
e^(5.86%/12) ≈ 1.004895
The 6% rate will give a larger yield after any length of time.
