Isolating a variable in the formula - math word problems - page 23 of 49
Number of problems found: 961
- Right triangle - ratio
The lengths of the legs of the right triangle ABC are in ratio b = 2:3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.
- Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
- TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°.
- Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm.
- Remaining 25441
An isosceles triangle has the size of the angles at the base alpha = beta = 34 degrees 34 minutes. Calculate the magnitude of the angle at the remaining vertex of the triangle in degrees and minutes.
- Determine 25341
In a two-digit number, the number of tens is three more than the number of ones. If we multiply the original number by a number written with the same digits but in the reverse order, we get the product 3 478. Determine the actual number.
- Calculate 25111
The quadratic function has the formula y = -2x²-3x + 8. Calculate the function value in points 5, -2, and ½.
- Kilogram 24921
Dahlia cooks with her mother's apple slices. They mixed flour, sugar, and butter in a ratio of 10:3:2. How many grams of sugar and butter did they put in half a kilogram of flour?
- Athletics 24911
The sports class is attended by athletes, cyclists, and football players. The number of athletes to cyclists is in the ratio 3:5, football players to cyclists 1:3. How many athletes attend the class if 9 children are involved in athletics?
- Parentheses in an expression
Insert parentheses to apply: 1 2 3 4 = 5
- The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216 cm². What is its length?
- The dough
The dough contains water, flour, and sugar. Water and flour are in a ratio of 2:3, and flour and sugar are in a ratio of 2:1. Find the ratio of all three components of the dough.
- Quadrilateral 24541
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm.
- Slow saving in banks
How long will it take to save € 9,000 by depositing € 200 at the beginning of each year at 2% interest?
- Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years?
- Age of family
The father and son are in a ratio of 10:3. The father and daughter's age is 5:2. How old are a father and a son if the daughter is 20?
- Hectoliters of water
There are 942 hectoliters of water in a cylindrical tank with an inner diameter of 6 m. The water reaches two-thirds of the tank's depth. Calculate its depth.
- Side lengths
In the triangle ABC, the height to side a is 6cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b.
- Quadrilateral 23881
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³.
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