Ratio - high school - practice problems - page 10 of 16
Number of problems found: 305
- Circular 4690
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout? - Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas. - 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. - 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
- 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 - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each two forces. - Three friends
Three friends divided the profit by 104,650 CZK, so that for every 4 CZK, which got the first friend equals five crowns for the second, and for every 9 CZK, which got the second equals 16 CZK for the third. Question: Who got the most and how much?
- Calculate 3884
Calculate the ratio of the two fifth roots of the number 32. - Difference 3875
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers. - Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height) - Determine 3810
Determine the ratio of the first and second GP members if q = -0.3 and a3 = 5.4. - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.
- Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Sides ratio
Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - The rectangle
The length and width of a rectangle are in the ratio of 5:2. Its length is 7.5 cm longer than its width. Find the area of the rectangle. Determine also its length and its width. - Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money Damian got and how Denis. - Dividing money
Imrich, Daniel, and Dezider shared an unknown amount in the ratio of 1:2:4, where Dezider received 750 euros more than Imrich, and Daniel got half as much as Dezider. Determine an unknown amount of money and determine the amount that got Imrich, Daniel, a
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