Answer:
Pythagorean Theorem Statement is below.
Therefore the value of x is 9 m.
Step-by-step explanation:
Given:
Label the vertices as A , B , C shown in figure below such that
∠A = 90°
AC = Longer leg = 12 m
AB = Shorter leg = x
BC = Hypotenuse = 15 m
To Find:
x = ?
Solution:
Pythagorean Theorem :
Pythagorean Theorem States that "the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides".
Which can be Written as
OR
i.e 
Substituting the values AB ,AC, BC we get
Therefore the value of x is 9 m.
Answer:
D. He forgot to subtract the area of the base from the total surface area of the cube.
Step-by-step explanation:
He is only spray washing the *exterior* of the building; the base is not exposed so it will not be spray washed, which means Richard can use less water.
Hope this helps. :)
5x + 60y = 35
x +y = 1.5 : rewrite as x = 1.5-y and substitute this formula for x in the first one:
5(1.5-y) + 60y = 35
distribute:
7.5 - 5y + 60y = 35
combine like terms:
7.5 + 55y = 35
subtract 7.5 from both sides:
55y = 27.5
divide both sides by 55 to solve for y
y = 27.5 / 55 = 0.5
now substiute 0.5 for y in the 2nd equation:
x + 0.5 = 1.5
x = 1.5 - 0.5 = 1
he walked for 1 hour
Answer:
The length of the largest table that can be brought in the house on a diagonal is 
Step-by-step explanation:
we know that
Applying the Pythagoras Theorem
Find the length of the diagonal of the frame
