Expression of a variable from the formula - practice for 13 year olds - page 26 of 57
Number of problems found: 1138
- The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b. - Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord? - Closed circuit
There is a voltage source with U1 = 12 V in a closed circuit and with internal resistance, R1 = 0.2 Ω. The external resistance is R2 = 19.8 Ω. Find the electric current and terminal voltage. - Cylinder-shaped 22643
The cylinder-shaped container contains 80 l of water and is filled. The height of the container is 70 cm. Calculate the diameter of the bottom of the container.
- The bases
The bases of the isosceles trapezoid ABCD have 10 cm and 6 cm lengths. Its arms form an angle α = 50˚ with a longer base. Calculate the circumference and area of the ABCD trapezoid. - Double price reduction
TV price has been reduced twice, first by 15% and later by another 10% of the reduced price. After this double price reduction, Peter sold the TV for 8,874 crowns. What was the original price of the TV? - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field? - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Championships 21683
Before the World Water Polo Championships, it was necessary to fill the pool. The first pump would fill in 12 hours, the second in 15 hours, and if all three pumps were started simultaneously, they would fill the pool in 4 hours. How long would the pool b
- Circumference 21463
The circumference of the rectangle is 40cm. Find the rectangle size if you know the sides are in a 4:1 ratio. - A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain? - Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification. - Cylinder-shaped 21363
82 hl of water per hour flows into the empty cylinder-shaped pool with a bottom diameter of 7.5 m. How high will the pool be filled if the water has flowed in for 4 hours? - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter?
- Base of an isosceles triangle
Calculate the size of the base of an isosceles triangle, the height is 5 cm, and the arm's length is 6.5 cm. What is the perimeter of this triangle? - Hectares of forest
Twelve workers plant 24 ha of forest in 6 days. How many days will 15 people and 12 people plant in the same area? - Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid? - The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface. - Pedestrian 20613
Cyclist speed and pedestrian speed are in the ratio of 16:3. The pedestrian will drive 4.5 km per hour. How many cyclists will travel in 2 hours?
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