Equation + power - practice problems - page 6 of 7
Number of problems found: 125
- BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 102 kg and height h = 159 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index is possible - Construction 1639
A group of masons had to finish the rough construction within three days. On the first day, they completed a third of this task, but on the second day, they were delayed and did 15% less work than the first day. By what % relative to the second day must t - Seven tractors
Seven tractors plowed 308 ha field in four days. How many hectares of fields will plow nine tractors in 3 days at the same power? - Diagonals in the diamond
The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals.
- Tiles
From how many tiles, 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 275 tiles. - Tank
In the middle of a cylindrical tank with a bottom diameter of 251 cm is a standing rod that is 13 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0. - Square Number
If to a square of integer number add 43, we get the square of the following integer number. What is the original number? - Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ...
- Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity? - Short cut
Imagine that you are going to a friend. That path has a length 120 meters. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go direct across the field? - Rectangular cuboid
The rectangular cuboid has a surface area 5447 cm², and its dimensions are in the ratio 2:4:1. Find the volume of this rectangular cuboid.
- Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors? - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers.
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