The answer would be <span>6.5.12
A triangle couldn't be made if the total sum of the two shortest side is less than the longest side. In this case, the two shortest side would be 5 and 6. The longest side would be 12.
If you try to add the two lowest side, the result would be 5+6=11. That means even if you make the triangle with 179.99 degrees that the 5 and 6 look like a straight line, the longest side it can achieve is 11.</span>
Answer:
The length of the diagonal support is 69 feet.
Step-by-step explanation:
Dimensions of the box: length = 6 feet
width = 5 feet
height = 8 feet
The diagonal support relates with the diagonal of the base and the height.
From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;
=
+ 
=
+ 
= 36 + 25
= 61
x = 
= 7.81
let the length of the diagonal support be represented by l. So that;
=
+ 
=
+ 
=
+ 64
l = 
= 61 + 8
= 69
Thus, the length of the diagonal support is 69 feet.
Argument
Let the second angle = x
Let the first angle = 2x
Let the third angle = x + 64
Substitute and Solve
x + 2x + x + 64 = 180 Collect the like terms on the left.
4x + 64 = 180 Subtract 64 from both sides.
4x = 180 - 64
4x = 116 Divide by 4
x = 116 / 4
x = 29
Conclusion
x = 29
2x = 58
x + 64 = 93 I'm leaving you with the problem of checking this out.
Answer
The first angle = 58
The second angle = 29
The Third angle = 93
80 dimes is equal to 800 cents
For no real solution, you must have b^2 - 4ac of the quadratic formula be less than 0.
a = 1; b = 2; c = C
b^2 - 4ac < 0
2^2 - 4(1)(C) < 0
4 - 4C < 0
-4C < -4
C > 1
The only choice greater than 1 is 3.
Answer: the 4th choice, 3