Ratio - math word problems - page 58 of 79
Number of problems found: 1570
- Rectangular 4624
The lengths of the sides of the rectangular garden are in the ratio of 1:2. The junction of the centers of adjacent sides is 20 m long. Calculate the perimeter and acreage of the land.
- 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.
- Scale factor
A prism with a volume of 1458 mm³ is scaled down to a volume of 16 mm³. What is the scale factor in fraction form?
- Coolant
The driver filled the car coolant with a mixture of 3.9 liters and 2.6 liters of water antifreeze coolant. At what rate are these two components mixed?
- Rectangular 4567
The rectangular flower garden fencing is 57.6 m long. If you know its dimensions are in a 5:7 ratio, find them.
- Dimensions 4560
The picture frame is made of a 6 cm wide bar. The dimensions of the image are 74 and 57 cm. Are the inner and outer edges of the frame two similar baffles?
- 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?
- Purchased 4522
Ten friends decided to go hiking. They bought food supplies for 9 days. Before starting hiking, 4 boys fell ill. How many days can the boys extend their stay if they take the purchased food supply?
- Rectangle 3-4-5
The sides of the rectangle are in a ratio of 3:4. The length of its diagonal is 20 cm. Calculate the area of the rectangle.
- Dimensions 4516
The course is 80m long and 35m wide. What will be its dimensions on a 1:500 map?
- Hours 4443
Lada drove 27 km in 3 hours. How many km will he go in 7 hours?
- Inequality 4434
The heel of height from the vertex C in the triangle ABC divides the side AB in the ratio 1:2. Prove that in the usual notation of the lengths of the sides of the triangle ABC, the inequality 3 | a-b | holds
- What scale
What scale is the map drawn if it shows a 15km route from the station to the ruins with a line 30cm long? A) 1:2000 B) 1:5000 C) 1:20,000 D) 1:50,000
- Calculate 4422
Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees.
- Rhombus and diagonals
The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
- Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result
- Cube
One cube has an edge increased five times. How many times will larger its surface area and volume?
- Equilateral 4301
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF?
- Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
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