Calculate the acute angle between 2x - 4y - z = -5 and 3x + 4y + 5z = -6
Problem
Calculate the acute angle between two intersecting surfaces whose equations are as follows:
2x−4y−z=−5
3x+4y+5z=−6
| A. 62.4° | C. 42.6° |
| B. 64.2° | D. 46.2° |
May 2010
If arcsin (3x - 4y) = 1.571 and arccos (x - y) = 1.047, what is the value of x?
Problem
If arcsin(3x−4y)=1.571 and arccos(x−y)=1.047, what is the value of x?
| A. 0.5 | C. 1.5 |
| B. 1.0 | D. 2.0 |
A solid spherical ball remolded into a hollow spherical ball
Problem
A 523.6 cm3 solid spherical steel ball was melted and remolded into a hollow steel ball so that the hollow diameter is equal to the diameter of the original steel ball. Find the thickness of the hollow steel ball.
| A. 1.3 cm | C. 1.2 cm |
| B. 1.5 cm | D. 1.6 cm |