Isolating a variable in the formula - math word problems - page 110 of 145

Number of problems found: 2883

The tower
The tower of the Dean's Church in Ústí nad Labem deviates from the original vertical axis by 220 cm. Its original height was 48 m. At what height is the highest point of this tower now? Enter the result to the nearest centimeter.
The pole
A 4 m bullet supports the telegraph pole. It is at 3/4 of pole height, and the end is at a distance of 2.5 m from the pole post. Calculate the height of the telegraph pole.
Diameter 5668
The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle?
Perpendicular projections
In a right-angled triangle, the perpendicular projections of the legs on the hypotenuse have lengths of 3.1 cm and 6.3 cm. Calculate the perimeter of this triangle. Round the result to the nearest hundredth of a centimeter.
Isosceles trapezoid 3
In the isosceles trapezoid ABCD, calculate the unknown side length "a" and its area. Side b = d = 50 cm, c = 20 cm, height = 48 cm.
The iron roller
The iron roller has a base circumference of 28 π cm. The worker drilled a hole through the top of the roller. After drilling, the given product had a 35% smaller volume than before. The hole's circumference in the base is equal to the height of the roller
Circumference 5647
The circumference of the isosceles triangle is 7.8 cm, and the base length is 34 cm. How long are his shoulders?
Sides of triangle
The Triangle circumference with two identical sides is 117cm. The third side measures 44cm. How many cms do you measure on one of the same sides?
Participated 5634
Last year, five fewer exhibitors participated in the Autosalon exhibition. This year there were a fifth more than last year, i.e., 150 exhibitors. How many exhibitors participated in the motor show the year before?
Determine 5629
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface.
Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%?
Calculate 5624
The cube has a surface area of 110.6 cm². Calculate the length of its edge.
Increase 5613
The tourist travels at an average speed of 3.5 km/h. The last train takes him 50 minutes. If he still has 5 km to go to the station, how much does he have to increase his speed?
Rectangular 5611
The rectangular course is 12 m longer than its width. Suppose its length increases by 10 m and its area increases by 600 square meters. What are its dimensions?
Equilateral 5571
The height in the equilateral triangle ABC measures the square root of 3 cm. What is the length of the center bar of this triangle?
Triangle RT - land
The land in the shape of a right triangle has an area of 96 m². How many meters of mesh do we need to fence if one of its sides is 12 meters long?
Orange colour
For the painter to get orange, he has to mix yellow and red in a ratio of 3:4. If he used 8 liters of red, how many liters of orange did he mix?
Trapezoid 5559
The bases of the trapezoid are 12 cm and 8 cm long. The area of this trapezoid is 40 cm². What is its height?
Diagonal 5555
The pool has a diamond shape with a side 20m long. One diagonal is 32 meters. What is the second diagonal?
Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals.

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