An isosceles right triangle, whose hypotenuse is 12 ft long, is
submerged vertically so that the...
An isosceles right triangle, whose hypotenuse is 12 ft long, is
submerged vertically so that the hypotenuse is parallel to the
surface of the water. If its vertex is 3 ft above the surface, find
the total force on one side of the plate?
A right triangle whose hypotenuse is √18 m long is revolved
about one of its legs to generate a right circular cone. Find the
radius, height, and volume of the cone of greatest volume that can
be made this way.
Find the lengths of the arms of a right triangle whose
hypotenuse has length c if these arms have a ratio of (a) 3;4 and
c=15, (b) 5;12 and c=26, (c) 8;15 and c =170 and (d) 1;2 and
c=10
Write class Hypotenuse that calculates the length of the
hypotenuse of a right triangle and return to HypotenuseTest class.
The lengths of the other two sides are given by the user by using
HypotenuseTest class and send into Hypotenuse class. Hypotenuse
class should
take two arguments of type double and return the hypotenuse as a
double into HypotenuseTest’s Main method. Finally, the
HypotenuseTest class displays the hypotenuse side of a
triangle.
Assume that you have an isosceles right triangle, with legs
equal to 6 units, that is rotated around on one of its legs to
generate a right circular cone. Find the volume of this cone.
Related rates Part A:
1. Consider a right triangle with hypotenuse of (fixed) length
46 cm and variable legs of lengths x and y,
respectively. If the leg of length x increases at the rate
of 6 cm/min, at what rate is y changing when x = 5 cm?
(Round your answer to three decimal places.)
2. Water is flowing into a vertical cylindrical tank of diameter
8 m at the rate of 5 m3/min. Find the rate at which...
Jason has found gold in his backyard! His backyard is a right
isosceles triangle with each of the short sides equal to 50 metres.
He realizes that amount of gold (in grams per square metre) at a
point is equal to the square of the distance between the point and
the hypotenuse of the backyard times a constant C. Set up an
integral to calculate the total amount of gold in Jason’s
backyard.
Suppose that an oblique triangle has side a = 12 ft, side b = 31
ft and angle ? = 20.5°. Find all possible values for angle C (round
your answer to the nearest hundredth position).
A. 94.72°
B. 94.72° ?? 44.28°
C. 64.78° ?? 115.22°
D. 23.92 E. none of these
A westbound section of freeway currently has three 12-ft wide
lanes, a 6-ft right shoulder, and no ramps within 3 miles upstream
and downstream of the segment midpoint. It is on rolling terrain
with 10% heavy vehicles and is operating at capacity with a
peak-hour factor of 0.9. If the road is expanded to four 11-foot
lanes with a 2-foot right shoulder, and traffic after the expansion
is projected to increase by 10% with the same heavy vehicle
percentage and...
Three charges are arranged so that each is at the vertex of a 3-4-5
right triangle. the charge opposite the short side is Q1 = -11 nC.
The charge opposite the long side is Q2 = 5 nC. The charge opposite
the hypotenuse is Q3 = 16 nC. The hypotenuse is H = 0.45.
1) What is the magnitude of the electric force on Q3 due to
Q1? Q3 due to Q2? Q3 due to Q1 and Q2?
2) What...
A hot dog can be considered to be a 12 centimeter long cylinder,
whose diameter is 2 cm and whose properties are ? = 980 kg/m3 , cp
= 3.9 kJ/kg · K, k = 1.2 W/m · K, and ? = 2 × 10?7 m2 /s. A hot dog
initially at 5?C is dropped into boiling water at 100?C. The heat
transfer coefficient at the surface of the hot dog is estimated to
be 600 W/m2 · K and...