Physical quantity - math word problems - page 333 of 342
Number of problems found: 6824
- Circular sector
I have a circular sector with a length of 15 cm with an unknown central angle. It is created from a circle with a radius of 5 cm. What is the central angle alpha in the circular sector? - Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it. - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - Timber log
The ship goes from point x to y. Downstream it takes 4 hours, and upstream 6 hours. How long does it take from a point x to y a log? - Perimeter 83352
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment. - N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm? - What is 19
What is the length of the hypotenuse c of a right triangle ABC if the angle α at vertex A is 30° and the hypotenuse a = 3cm?
- Big tower
From a tower 15 meters high and 30 meters away from the river, the width of the river appeared at an angle of 15°. How wide is the river in this place? - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Daily average
Calculate the average temperature during the day, when 14 hours were 24 °C and 10 hours was 14 °C. - Side c
In △ABC a=1, b=6 and ∠C=110°. Calculate the length of the side c. - Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α? - Ice rink
A rectangular rink measuring 15m and 20m long needs to be covered with a layer of ice 4.5cm high. How many liters of water are needed to create ice? - Circumscribed decagon
In a regular decagon, the diameter of the circumscribed circle measures 10 cm. Determine the radius of the circle inscribed in this decagon. - The ladder
The ladder makes an angle of 2°30' with the wall and reaches a height of 2.3 m. How far is the ladder from the wall?
- Mast
The mast has 16 a long shadow on a slope rising from the mast foot in the direction of the shadow angle at angle 9.7°. Determine the height of the mast if the sun above the horizon is at an angle 40°48'. - Area and two angles
Calculate the size of all sides and internal angles of a triangle ABC if it is given by area S = 501.9; and two interior angles α = 15°28' and β = 45°. - Dairy 2
The dairy meal is made up of a mixture of wheat bran and cotton. 40 kg of wheat bran cost sh.1250, and 50 kg of cotton cost sh.3250. 50 kg of a dairy meal is a mixture of 48 kg of wheat bran and 2 kg of cotton. Calculate the cost of a 1 kg dairy meal. - V-belt
Calculate the length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm (distance between pulley axes) - Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse?
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