A 17.8 kg flood light in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable connected to the beam helps to support the light. (In thefigure,
(A) 320 N
(B) 250 N
(C) 0
If a simple has a mass of 63.5 g when weighed in the air and an apparent mass of 56.4 g when submerged in water, what is the most likely identity of the metal?
A small rock with mass 0.12 kg is fastened to a massless string with length 0.80 m to form a pendulum. The pendulum is swinging so as to make a maximum angle of 45 with the vertical. Air Resistance is negligible.
a) What is the speed of the rock when the string passesthrough the vertical position?
b) What is the tension in the string when it makes an angle of 45 with the vertical?
c) What is the tension in the string as it passes through the vertical?
Lily wants to define a transformation (or series of transformations) using only rotations, reflections or translations that takes Figure A to Figure B.
Which statement about the transformation that Lily wants to define is true?
A. It can be defined with two reflections.
B.It can be defined with one rotation and one translation.
C. It cannot be defined because Figure A and Figure B are not congruent.
D.It cannot be defined because the longest side of Figure B is on the bottom.
Determine whether the triangles are similar.
If so, write a similarity statement and name the postulate or theorem you used. If not, explain.
Reasoning as in the given problem, what is the value of
Working with series Consider the infinite series
where each term of the sum is
a. Find the sum of the first one, two, three, and four terms of the series.
b. What value would you assign to the infinite series
A piecewise function is given. Use properties of limits to find the shown indicated limit, or state that the limit does not exist.