Unit conversion - math word problems - page 24 of 134
Number of problems found: 2678
- 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. - A construction
A construction worker is trying to find the height of a skyrise building. He is standing some distance away from the base with an elevation angle of 65 degrees. The worker moves 50 feet closer and measures the angle of elevation to be 75 degrees. Find the - 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. - Field map scale
The map shows a square-shaped field with a side length of 0.7 cm. Its area is 49 ha. Find the scale of the map. - House drawing scale
The family house has a rectangular shape with sides of 15 m and 12 m. Determine the lengths of the sides of a family house on a drawing with a scale of 1:250 - A bag 3
A bag of rice weighs 5.4 kg, and a bag of flour weighs 3678 g. By how much is one bag heavier than the other? - 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) - Binibini
Binibini owns a triangular residential lot bounded by two roads intersecting at 70°. The sides of the lot along the road are 62 m and 43 m, respectively. Find the length of the fence needed to enclose the lot. (express answers to the nearest hundredths) - Centi-year deca-month comparison
How many minutes is the centi-year longer / shorter than a deca-month? The year is 365 days, and the month is 30 days. - A flagpole
A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. The string makes an angle of 38° with the ground, and the flagpole is 8 m long. What is the length of the string? - Wooden prism
The wooden prism weighs 5 kg and has a 700 kg/m³ density. Calculate the volume of the wooden prism. - Beijing Tokyo scale The map shows the cities of Beijing and Tokyo at a distance of 5.1 cm. Their actual air distance is 2040 km. What is the scale of the map?
- Flowerpot volume soil
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30 cm, height b = 40 cm, length c = 120 cm. - Square rectangle area
Task 1 - The circumference of the square is 280 mm. What is its area? Task 2 - the perimeter of the rectangle is 44.6 dm, and its width is 6.3 dm. Calculate the area of this rectangle. - Sphere - diameter
What is the diameter of a 1 m³ sphere? Write in decimetres - American stars
Some movie stars are very well paid. Actor Leonardo DiCaprio received a fee of 20 million US dollars for the lead role in a film. In this film, which lasts 125 minutes, there is also a short scene in which DiCaprio takes 6 seconds to put on his boots. How - A chord
In a circle radius of 6 cm, a chord is drawn 3 cm from the center. Calculate the angle subtended by the chord at the center of the circle. Hence find the length of the minor arc cut off by the chord. - A man 7
A man wandering in the desert walks 3.8 miles in the direction of S 44° W. He then turns and walks 2.2 miles toward N 55° W. At that time, how far is he from his starting point? (Round your answer to two decimal places.) - A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each vertex of the rhombus if the shorter diagonal measures 7 cm. Give your answers to the nearest degree and provide clear geometric reasoning at each step. - Garden rent The town of Bellmere has purchased a square plot of land that is 0.2 km by 0.2 km to make a community garden. If the garden is divided into plots that average 50 ㎡, how many plots will be available to rent?
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