Rearrange variables - math word problems - page 62 of 145

Number of problems found: 2890

Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles.
Filling the pool
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros?
Cone surface volume
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume.
Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
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.
Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts?
Square side calculation
Calculate the length of the side of the square if the size of the diagonal u = 9.9 cm is entered.
Aquarium height calculation
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water?
Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm.
Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a.
On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1].
Sapling planting calculation
In the forest, there are 84 workers employed in planting saplings. Working 10 hours a day, they would finish the job in 24 days. After 7 days, 14 workers leave. How long will it take the others to finish planting the saplings if they work 12 hours a day f
Pyramid base calculation
The volume of the right 4-side pyramid is 138 m³, and its height is 9m. Calculate the area of the base and the edge of its base.
Pyramid wall height
How can you calculate the wall height of a pyramid when you know the base edge length is 28 mm and the body height is 42 mm?
Transformer voltage
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current
Transformer coil turns
The bell uses 8 V alternating voltage obtained from the 220 V mains. The secondary coil of the bell transformer has 60 turns. How many turns must the primary coil have? What is the transformation ratio?
Coils of transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220V. How many turns does the secondary coil have when the voltage is 55 V? Find the transformation ratio and decide what kind of transformation.
Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and number of turns if the transformation ratio k = 0.1.
Shell area cy
The cylinder's shell area is 300 cm square, and its height is 12 cm. Calculate its volume.
The cylinder
The cylinder's surface area is 300 square meters, and its height is 12 meters. Calculate its volume.

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