Square (second power, quadratic) - math word problems - page 59 of 149
Number of problems found: 2962
- The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1. - Tangents to ellipse Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1].
- Diver
Please calculate using Pascal's law. The window of the diving helmet has a surface area of about 7dm². What pressure force acts on the window at a depth of 20 meters below the water surface? - Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Equilateral 30951
Draw a pentagon ABCDE, which consists of a square ABCE with a side of 44mm and an equilateral triangle CDE. Thanks for the help. - Outside 30931
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8m². - Diameter 30921
The road roller has a diameter of 1.2 m and a width of 1.8 m. How many square meters will the road level if it turns 20 times? - Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm². - Similarity 30821
There is a given square ABCD with a = 5.3cm. If the similarity ratio k = 3 cm, determine the side size of a similar square. Then, calculate the area and perimeter of the magnified square. - Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - How many
How many m² of copper sheet is needed to replace the roof of a conical tower with a diameter of 13 meters and a height of 24 meters if we count 8% of the material for bending and waste? - Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Dimensions 30651
How many tons of cement are needed to concrete two pillars 6.5 m high with a base in the shape of four squares joined into one cross of dimensions 1.2 m? 2.5 q of cement is needed for 1 cubic meter of concrete. - Stoaches
Stoaches are fictional creatures distantly related to bigfoot and yeti. Stoach weights are normally distributed, with a mean of 904g and a standard deviation of 104g. State the probability that the sample mean of a random sample of 36 stoach weights excee - The square
Calculate the area and perimeter of a square with side a = 15 dm S =, O = - Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Quadrilateral 30401
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; vt = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; vt = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2)
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