Answer:
steps below
Step-by-step explanation:
1. It can be formed a triangle: sum of any two sides is greater than the 3rd side
2. It can't be an obtuse triangle: 5² + 7² = 74 < 10²
the triangle is an obtuse-angled triangle if the square of the longest side (c²) is greater than the sum of the square of other two sides (c²>a²+b²)
Answer:
Volume = (2890 and 5/8) inches^3
Step-by-step explanation:
Height = 12 and 1/2inches = 25/2
Width = 12 and 1/2inches = 25/2
Length = 6 inches > width = 6 + width
= 6 + (12 and 1/2) = 18 and 1/2
Length = 18 and 1/2 inches = 37/2
Volume of prism = length × breadth × height
Volume of rectangular prism = (25/2)×(25/2)×(37/2)
Volume of rectangular prism = (23125/8) inches^3
Volume of rectangular prism = (2890 and 5/8) inches^3
If you have |a|=b, solve a=b and a=-b
so
|-4+5x|=16
so solve
-4+5x=16 and -4+5x=-16
add 4 to both sides
5x=20 and 5x=-12
divide both sides by 5
x=4 and x=-12/5
the 2 solutions are x=-12/5 and x=4