Grade - math word problems - page 800 of 968
Number of problems found: 19341
- The projection
In axonometry, construct the projection of a perpendicular 4-sided pyramid with a square base ABCD in the plane. The base triangle gives the axonometry. We know the center of the base S, the point of the base A, and the height of the pyramid v. - Cone projection
In axonometry, construct a projection of an oblique circular cone with a base in a plane. The stop triangle gives dimension. We know the center of the base S, the radius of the base ra the top of the cone V, Triangle (6,7,6), S (2,0,4), V (-2,7,6), r = 3 - Circle tangent
A circle with centre S and radius 3.5 cm is given. The distance from centre S to line p is 6 cm. Construct a tangent to the circle that is perpendicular to line p. - Painting time
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself? - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Equation solutions
The solution to the equation 3x = 8x is a / no real number b / x = 8/3 c / x = 3/8 d / x = 0 e / infinitely many solutions - Triangle existence
Find out if there is a triangle whose two sides are 5 cm and 8 cm long and the middle bar determined by their centers is 1.5 cm long. - Bus intervals
Four bus lines departed from the terminal together at 5:00 AM. Line A runs at 15-minute intervals, Line B at 6-minute intervals, Line C at 20-minute intervals, and Line D at 8-minute intervals. At what time do all four lines depart from the terminal simul - Square coordinates
The rectangular coordinate system has a point A [-2; -4] and a point S [0; -2]. Determine the coordinates of points B, C, and D so that ABCD is a square and S is the intersection of their diagonals. - Elevator
The panel house has ten over-ground stories and four underground. The lift goes from the ground floor to the 2nd floor, then down to the 3rd underground floor, nine floors up, and finally four floors down. To what floor does the elevator arrive? How many - Grandmother
A grandmother wants to divide candies among her grandchildren. If she gives five candies to each, she is three short. If she gives four candies to each, she has three left over. How many grandchildren does she have, and how many candies does she have? - Pool whitewashing
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10 m and 18 m, and arms 7 m are 2 m deep. During spring cleaning, the bottom and walls of the pool must be whit - Right triangle prism
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Radius of a sphere
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Church roof
The roof of the church tower has the shape of a regular tetrahedral pyramid with a base edge length of 5.4 meters and a height of 5 m. It was found that the 27% covering of the roof area needs to be corrected. What amount of material will be required? - Toothpaste duration
A full tube of toothpaste is enough for one family member for six weeks. How long will three family members last? - Segment symmetry
A segment AB is drawn in the rectangular coordinate system with endpoints A [1;6] and B [5;2]. The center symmetry is the origin of the coordinate system. Find the coordinates of the center of this segment in this symmetry projection. - Airport
Planes on route A depart from the airport every third day and on route B every fourth day. On 5 May, planes on both routes departed. Will planes depart on the same day again this month? If so, when? On what date in June will planes depart on both routes? - Workers needed
Twenty-seven workers did the work in 12 days. In how many days would nine workers do the same job? - Typing time
A typist with an average speed of 250 keystrokes per minute can type a text in 16 minutes. How many minutes longer would it take to type the same text at an average speed of 200 keystrokes per minute?
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