Unit conversion + expression of a variable from the formula - practice problems - page 9 of 15
Number of problems found: 293
- Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures. - 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? - Isosceles 81130
The angle at the apex of an isosceles triangle is 78°. Base 28.5cm. Shoulder length? - Opposite 78434
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41m from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree? - Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC. - Should 27591
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? - Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, - Square 28803
The garden is 1 cm wide and 90 km long when we turn it into a square with the same area. How long will the square be? - Harvested 5984
A private farmer assumed a beet yield per hectare of x tons. He harvested an average of y tons more per hectare. How many tons of beets are harvested from 0.25 km²? - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Calculate 2
Calculate the largest angle of the triangle whose sides are 5.2cm, 3.6cm, and 2.1cm - Sphere-shaped 20723
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste. Round the final result to the nearest total. - Calculate 16523
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm². - Transport 7890
The sheet metal keg for oil transport has the shape of a cylinder with a volume of 62.8 liters and a height of 0.5 m. How many kg of paint do we need to paint if we need 1 kg of paint for 1.5 m²? - Milliliters 66834
The cube-shaped vase contains 320 ml of water, which reaches a height of 5 CM. How many milliliters of water can we pour into the vase, so the water does not run out? - Aluminum cylinder
The aluminum cylinder weighs 1400 g and is 26 cm high. Its density is 2700 kg/m³. Calculate the base area of the cylinder and express the result in cm². - Specified 43301
The water tank has the shape of a block. The bottom of the tank is square, with a side length of 3 m. There are 22,500 liters of water in the tank. To what height in meters does the water in the tank reach the specified amount? - Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - Block-shaped 60983
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built?
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