Isolating a variable in the formula - math word problems - page 79 of 144
Number of problems found: 2866
- A rhombus
A rhombus has sides of the length of 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus. - Positional energy
What velocity in km/h must a body weighing 60 kg have for its kinetic energy to be the same as its positional energy at the height of 50 m? - Isosceles triangle 10
In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles. - Kindergarten 11891
The perimeter of the kindergarten garden measures 126 meters. The longer side of the school garden fence broke. How many meters of 180 cm wide mesh does the janitor need to buy to repair it if the shorter side measures 28 meters? - A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume. - Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block? - Frustum of a cone
A reservoir contains 28.54 m³ of water when complete. The diameter of the upper base is 3.5 m, while the lower base is 2.5 m. Find the height if the reservoir is in the form of a frustum of a right circular cone.
- Multiplied 11801
Which number needs to be multiplied by 2 3/4 to get 8 1/3? - Calculate 11771
The interior angles of the triangle are 108 degrees 45 minutes and 51 degrees 19 minutes. Calculate the outside angle at the third vertex. - Agricultural 11691
The tractor leaves the field and heads towards an agricultural cooperative 14 km away at an average speed of 20 km/h. Twenty minutes later, an agronomist followed him from the same field on a motorcycle at an average speed of 45 km/h. Will he catch up wit - Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c? - Surface of the cylinder Calculate the surface of the cylinder for which the shell area is Spl = 20 cm² and the height v = 3.5 cm.
- Cuboid face diagonals
The lengths of the cuboid edges are in the ratio 1:2:3. Will the lengths of its diagonals be in the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid. - Minutes 11521
The road from Brno to Hodonin is 60 km long. Lenka left Hodonin at a speed of 4 km/h, and at the same time, Jonas left Brno on a moped for her. What was the moped's speed if Jonas and Lenka met in 1 hour and 30 minutes? - Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm.
- Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Equation 23
Find the value of unknown x in the equation: x+3/x+1=5 (problem finding x) - Folding table
The folding kitchen table is rectangular with an area of 168dm² (side and is 14 dm long). If necessary, it can be enlarged by sliding two semi-circular plates (at sides b). How much percent will the table area increase? The result round to one-hundredths. - Geography tests
On three 150-point geography tests, you earned grades of 88%, 94%, and 90%. The final test is worth 250 points. What percent do you need on the final to earn 93% of the total points on all tests? - Medians in right triangle
It is given a right triangle, and angle C is 90 degrees. I know it medians t1 = 8 cm and median t2 = 12 cm. How to calculate the length of the sides?
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