Week 5 Quiz Flashcards
Given the coordinates of Wuhan, China (30.593°N, 114.305°E) and Manila (14.6° N, 121.1° E). Assuming an airplane will travel at a constant altitude of 280 kph from Wuhan to Manila, how long will it travel in hours?
6.82
Determine the area (KM^2) of a spherical triangle, ABC if A= 140°, B = 75°, C = 86° if it has a radius of 40 KM.
3379
The total surface area of a regular tetrahedron is 400 cm² find the volume (cm^3) of a tetrahedron
413.6
A rectangular tank, 6m wide, 12m long, and 18m high is 2/3 full of water. If one 120 m³ of water is added how much in percent is the tank filled with water
75.93%
A lightbulb is placed at a certain distance from the surface of a spherical globe of radius 20 CM. If it illuminates 1/4 of the total surface of the globe, how far it is (cm) from the surface?
20
What polygon has sum of interior angles equal to 1890°
None
The bases of a right prism are pentagons with each side 6 CM long. The bases are 12 CM apart. What is the volume of the prism in cm3
743.25
The volume of a closed cylinder is a numerically equal to its the lateral area. The height of 10 m. Find the total surface m^2.
48pi
Find the surface area of a spherical triangle, ABC, if a = 125°, b= 73°, C = 84° and r= 30 m
1602
A rectangular swimming pool is 10 m long and 8 m wide. The tile border of uniform width is to be built around the pool, using 120 m² of tiles. The tile is from a discounted stock (so no additional materials are available), and all one 120 m² are to be used. How wide (M) should the border be?
2.6
Find a given oblique triangle, A = 30°, B = 35° and C = 74°. Find a value of side a
38.25 deg
A right circular cylinder has a diameter of 8 cm and altitude of 15 CM. Find the farthest (CM) possible distance between any two points on the curve surface of the cylinder.
17 cm
The capacities of two hemispherical tanks are in the ratio 64:125. If a 4.8 kg of paint is required to paint in the outer surface of the small tank, then how many kilograms of paint will be needed to paint the outer surface of the larger tank.
7.5
A rectangular box is to be constructed to hold a new camcorder. The box is to have dimensions 5” x 4” x 9”. Find the surface area of the box.
202 in^2
A prism has a cross-section consisting of a square section on ABCD and a circular arc APB. APB is a circular arc with center at M, the midpoint of CD, having a radius equal to AM. If one of the sides AB = 15 CM long, determined the length of arc APB.
15.551 cm
