Fractions + unit conversion - practice problems - page 11 of 15
Number of problems found: 281
- Loonie
Loonie has three wooden sticks measuring 17 inches, 21 inches, and 25 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by 17 inches and 21 inches. (Express answers to the nearest hundredths) (using the law of cosines) - Cubic inches to cups
5-3/8" x 4" x 2-5/8" container. How many equal cups? - Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - Elevation 80866
Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters.
- SAS triangle
The triangle has two sides, long 7 and 19, and makes included angle 110°42'. Calculate the area of this triangle. - Quadrilateral 28491
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Clock
How many times a day do hands on a clock overlap? - Parallelogram 6049
Calculate the area of the parallelogram if a = 57cm, the diagonal u = 66cm, and the angle against the diagonal is beta β = 57° 43' - Hectoliters of water
There are 942 hectoliters of water in a cylindrical tank with an inner diameter of 6 m. The water reaches two-thirds of the depth of the tank. Calculate its depth.
- Triangle 75
Triangle ABC has angle C bisected and intersected AB at D. Angle A measures 20 degrees, and angle B measures 40 degrees. The question is to determine AB-AC if length AD=1. - Decimetres 72974
What is the diameter of a 1m³ sphere? Write in decimetres - Prism-shaped 78774
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6m wide, the bottom is 4m wide, the pool is 2m deep, and the pool is 12m long? - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
- Pyramid of Giza
The Great Pyramid of Giza has the shape of a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Parallelogram 65954
In the parallelogram ABCD AB = 8, BC = 5, BD = 7. Calculate the magnitude of the angle α = ∠DAB (in degrees). - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Flowing 66174
How long in an hour will a 30m, 15m, and 2m pool be filled with water flowing at 900l / min if it is 90% full? - Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area.
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