Answer:
a) AB = 17 m
b) AC = 20.8 m
Step-by-step explanation:
Pythagorean theorem
a^2 + b^2 = c^2
a)
AB^2 = (26-11)^2 + 8^2
AB^2 = 15^2 + 8^2
AB^2 = 225 + 64
AB^2 = 289
AB = 17 m
b)
AC^2 = AB^2 + BC^2
AC^2 = 17^2 + 12^2
AC^2 =289 + 144
AC^2 = 433
AC = 20.8 m
Answer: No
Step-by-step explanation:
According to triangle inequality theorem which state that: the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Now let's test the given parameters if they obey this theorem
4 inches, 5 inches and 1 inch
4 + 5 = 9
9 > 1 correct
5 + 1 = 6
6 > 4 correct
4 + 1 = 5
5 not > 5 wrong
Therefore he won't be able to create the triangular component with these toothpicks without modifying any of the lengths
Answer:
13 + 14 + 15
Step-by-step explanation:
n + (n + 1) + (n +2) =42
n + n + n + 1 + 2 = 42
3n + 3 = 42
(subtract 3 from both sides)
3n = 39
(divide both sides by 3)
n = 13
(solve)
n + (n + 1) + (n +2) =42
13 + (13 + 1) + (13 + 2) = 42
13 + (14) + (15) = 42
13, 14, 15
(Hope this helps, have a nice day!)
Answer:
x=-4
x=4
Step-by-step explanation:
We can factor x^2 -16 = 0 by recognizing that it is a difference of squares. That means we can factor the equation to (x-4)(x+4) = 0. By using the Zero Product Property we know that either (x-4) or (x+4) is equal to 0. That means that x either equals -4 or 4.
256 x 3 is uhh 768 so it would be 2 of the 128 sticks
