Suppose that a triangle has sides of length a = 15 cm, b = 37
cm,...
Suppose that a triangle has sides of length a = 15 cm, b = 37
cm, and c = 29 cm, then α = _______, β = ______., and γ =______ .
Carefully round your answers to the nearest tenth of a degree, do
not include units in your typed answers.
A rectangular block of copper has sides of length 12 cm, 26 cm,
and 37 cm. If the block is connected to a 5.4 V source across two
of its opposite faces, find the following.
(a) What is the maximum current the block can carry?
(b) What is the minimum current the block can carry?
Consider an equilateral triangle with sides measuring 1.0 m in
length. At each point of the triangle is a +2.0 ?C charge.
Calculate the Coulomb force on each charge. Recall that forces are
vectors and thus your answer will require a magnitude and direction
for each of the three forces.
a) Use the law of sines to solve a triangle with sides a = 9, b
= 16, and angle C = 80◦ .
b) . Use the law of cosines to solve a triangle with sides a =
8, c = 17, and angle B = 35◦ .
Suppose that A is a triangle with integer sides and integer
area. Prove that the semiperimeter of A cannot be a prime
number.
(Hint: Suppose that a natrual number x is a perfect square, and
suppose that p is a prime number that divides x. Explain why it
must be the case that p divides x an even number of times)
9). 3 charges, 8 µC each, are located on three vertices A, B, C of an equilateral triangle with sides 1 cm each. Another charge q is located at the mid point D of the side BC. Calculate q in micro Coulomb so that net force on the charge at A due to the charges at B, C and D is zero.
10). In a right angle triangle ABC, angle ABC is 90 Degree, AB = 2 m, and...
1. Please complete the following parts of the question regarding optics.
a) A 4.0 cm -tall object is 15 cm in front of a CONVEX mirror that has a -25 cm focal length. Calculate the image position then Calculate the image height. Type a positive value if the image is upright and a negative value if it is inverted.
b) A 3.0-cm-tall object is 17 cm in front of a CONVERGING lens that has a 32 cm focal length....
A converging lens has a focal length of 15 cm. If an object is
placed at a distance of 5 cm from the lens,
a. find the image position
d i = _____ cm (include sign +/-)
b. find the magnification
M = _____(include sign +/-)
c. characterize the resulting image.
________(real or virtual)
________(enlarged or reduced)
________(upright or inverted)
A pure aluminum bar has a diameter of 15 cm and a length of 1.25
m. The rod is initially uniform in temperature at 300?C. The bar is
now suddenly exposed to a convection environment at 50?C with h =
1250 W/m K. How long does it take the center to cool to a
temperature of 80?C? (a) Determine if a lumped capacitance analysis
is or is not appropriate. (b) Determine the cooling time assuming
the lumped capacitance model is...
Argument A
Since all triangles have three sides, and an isosceles triangle
is a triangle, it follows that an isosceles triangle has three
sides.
Argument a is:
inductive/deductive;
valid/invalid/strong/weak;
sound/unsound/cogent/uncogent?
Argument B
There is a large crack in Philadelphia's Liberty Bell. From
this, we can conclude that there was a defect in the bell's
craftsmanship.
Argument B is:
inductive/deductive;
valid/invalid/strong/weak;
sound/unsound/cogent/uncogent?
Argument C
Paleontologists now agree that the Tyrannosaurus Rex was
actually a peaceful, plant-eating dinosaur. Therefore, it is
probably...