Geometry - math word problems - page 134 of 158
Number of problems found: 3148
- Regular octagon
Draw the regular octagon ABCDEFGH inscribed with the circle k (S; r = 2.5 cm). Select point S' so that |SS'| = 4.5 cm. Draw S (S'): ABCDEFGH - A'B'C'D'E'F'G'H'.
- Rectangle
Draw a rectangle with the sides a = 4 cm, b = 5 cm. Mark the center of symmetry S and all axes of symmetry. How many axes of symmetry? Write down.
- Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane.
- Pizza
Pizza with a diameter of 40 cm weights 409 g. What diameter will a pizza weigh 764 g made from the same cloth (same thickness) and decorated?
- Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times?
- Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase?
- Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise?
- Construction: 81894
Construct a rhombus that has a side length of 5 cm and a height of 4.5 cm. Outline: Analysis: Construction: Method:
- Trapezoid 61394
Sestroj trapezoid ABCD, if a = 8cm, b = 5cm, alpha = 60 °, beta = 75 °
- Brassier 33341
Draw an ABCD brassier if a = 4.8cm b = 3.5cm and va = 2.9cm
- Calculate 7344
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3cm square EFGH b = 4cm
- Construct 5029
Try to construct the MNP triangle. p = 6cm, n = 5cm, Vp = 4cm Answer the measured side length m
- Quadrilateral 3262
Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA.
- TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have
- Earth's surface
The greater part of the Earth's surface (r = 6371 km) is covered by oceans; their area is approximately 71% of the Earth's surface. What is the approximate area of the land?
- Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or
- Z score transformation
The annual salary of an entry-level statistics major (in thousands of dollars) is normally distributed with a mean of 75 and a standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What minimum salary should a statistics major aim for to earn amongst the to
- Triangle and axes
Draw any triangle. Make the axis of its two sides. Their intersection is point S. (a) Measure the distance of point S from all three vertices (b) Draw the axis of the third side.
- Rhombus EFGH
Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm
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