To solve this word problem, we will use the Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
Our side lengths are 10 and 24ft.
So, we can plug them in for a and b.
10^2 + 24^2 = c^2
100 + 576 = 676
Then, we need to find the square root of 676.
sqrt676) = 26
So, the missing length or the hypotenuse is 26 feet.
Therefore, we require 26 feet of string to measure the length of the hypotenuse in which the room is split in half.
Least to Greatest:
1.037, 1.073, 1.37, 1.703
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
