Unit conversion + expression of a variable from the formula - practice problems - page 11 of 15
Number of problems found: 297
- Solve 13
Solve the missing dimensions for the following triangle: Triangle ABC: AngleA=43 degrees, b=7.0cm, c=6.0cm Question 1. Angle B with units written as degrees Question 2. Angle C with units written as degrees Question 3. a, rounded to the nearest tenth of a - The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter. - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.
- Vintner
How high can a vintner fill keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base of 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the keg - Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter. - Binibini
Binibini owns a triangular residential lot bounded by two roads intersecting at 70°. The sides of the lot along the road are 62m and 43m, respectively. Find the length of the fence needed to enclose the lot. (express answers to the nearest hundredths) - The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - Pass-through 5886
The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm.
- Rectangular 18993
The bases are 9 cm and 50 mm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate the circuit and area. - 3d printer
3D printing ABS filament with a diameter of 1.75 mm has a density of 1.04 g/cm³. Find the length of m = 5 kg spool filament. (how to calculate length) - Cosine
Cosine and sine theorem: Calculate all missing values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Perpendicular 21433
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l.
- Overhangs 83158
The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b. - Calculate 6219
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and area. - Tree shadow
The tree perpendicular to the horizontal surface has a shadow 8.32 meters long. At the same time, a one-meter rod perpendicular to the horizontal surface has a shadow 64 cm long. How tall is the tree? - The circumference 3
The circumference of a cylindrical water tank is 62.8m. When it is 4/5 full of water, it holds 125.6hl. Find the depth of the tank. - Circumference 30761
There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm.
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