Geometry - math word problems - page 124 of 162
Number of problems found: 3232
- Air bubble
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius of r1 = 1 cm at a temperature of t1 = 4°C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a tempe - Triangle 3552
Draw a circle k (S, r = 3cm). Build a triangle ABC so that its vertices lie on the circle k and the length of the sides is (AB) = 2.5 cm (AC) = 4 cm - Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm. - Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts. - Parameters 28521
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface - An architect 2
An architect is designing a house. He wants the bedroom to be 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume of the bedroom. Sol - Square grid
A square grid consists of a square with sides of a length of 1 cm. Draw at least three patterns, each with an area of 6 cm² and a circumference of 12 cm, and their sides in a square grid. - Isosceles 6673
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long. - Cone-shaped 8170
How many cone-shaped cones will we have to take to fill 20 l of creams (to the brim) if the cone has an inner base diameter of 6 cm and a height of 8 cm. Make a drawing, and write the answer. - Coefficient 6672
In the triangle ABC is [AB] = 20cm, [BC] = 10cm, A = 30 °. Construct a triangle A'B'C' similar to triangle ABC if the similarity coefficient is 0.5 - Vintner
How high can a vintner fill the keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base of 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Construction
Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction) - Hexagon - MO
The picture shows the ABCD square, the EFGD square, and the HIJD rectangle. Points J and G lie on the side CD and are true |DJ| - construction triangle problem
Construct the vertices C of all triangles ABC, if given side AB, height vb on side b, and length of line tc on side c. Build all the solutions. Mark the vertices C1, C2,. .. - 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. - Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6]. - Lathe
From the cube of edge, 41 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed? - Construct 25851
A. Construct ∆ABC such that c = 55 mm, α = 45 °, β = 60 °. B. Draw any acute triangle and construct its heights. - Temperature and volume
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool.
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