Answer:
Height of wall is 12 ft.
Explanation:
In the shown figure, AB denotes the height of the wall, BC denotes the distance between foot of the ladder and wall and AC denotes the length of the ladder.
Let h be the height of wall. By Pythagoras Theorem,
(AB)² + (BC)² = (AC)²
According to the problem, AC = 13 ft, AB = h ft and BC = (h - 7) ft:
h² + (h-7)² = (13)²
h² + h² + 49 - 14h = 169
2h² - 14h - 120 = 0
h² - 7h - 60 = 0
By mid-term splitting,
h² - 12h + 5h - 120 = 0
h(h - 12) + 5(h - 12) = 0
(h - 12) x (h + 5) = 0
h = 12 ft or h = -5 ft
Since, height of wall cannot be negative. Hence, the height of wall is 12 ft.
Hello!
Your answer is .92 g/ml.
The equation for density is as follows: D=m/v (density=mass(in g) ÷ volume (in mL))
All you have to do is plug in your numbers (12g, and 13mL) and there you go!
Hope this helps now and in the future!
Brady
Answer:
Heat is added to a substance, but its temperature does not rise. Which one of the following statements provides the best explanation for this observation? the substance must be a gas. the substance must be a non-perfect solid. the substance undergoes a change of phase. the substance has unusual thermal properties. the substance must be cooler than its environment.
Trigonometry allows finding the result for the decomposition of the displacement vector is:
x = 2.12 mi
y = -2.12 mi
Displacement is a vector quantity, which has modulus and direction.
The cardinal points are a reference system with respect to which measurements are made, this system is related to the Cartesian system with the East in the positive direction of the x-axis and the North with the positive direction of the y-axis.
In the attached we can see a diagram of the vector and its components, the indicated direction of 45 S of the E, in the Cartesian system where the angles are measured from the positive side of the x-axis in a counterclockwise direction is:
θ = 360 - 45
θ = 315º
Let's use trigonometry to decompose the vector d = 3 mi
cos 315 =
sin 315 =
x = d cos 315
y = d sin 315
Let's calculate
x = 3 cos 315
y = 3 sin 315
x = 2.12 mi
y = -2.12 mi
The negative sign indicates that the displacement is towards the negative side, that is, towards the South.
In conclusion using trigonometry we can find the result for the decomposition of the displacement vector are:
x = 2.12 mi
y = -2.12 mi
Learn more here: brainly.com/question/1666179