Geometry - math word problems - page 11 of 165
Number of problems found: 3289
- The modulus
Find the modulus of the complex number 2 + 5i - Steel bar cutting
We must cut three steel bars with 24 dm, 3 m, and 160 cm lengths into equal lengths. Find their maximum length and number. - Dividing Lines into Parts
Divide three lines with lengths of 12 cm, 24 cm, and 64 cm into equally long and, at the same time, the most extended possible parts. How long will the individual parts be, and how many will there be? - Dividing
Divide the three-line segments 13 cm, 26 cm, and 19.5 cm long for parts so that the individual pieces are equally long and longest. How long will each part be, and how many parts will there be? - A rope
Paul can cut a rope into equal lengths with no rope left over. The lengths can be 15 cm, 18 cm, or 25 cm. What is the shortest possible length of the rope? - Saving in January
On the 1st of January, a student puts $10 in a box. On the 2nd, she puts $20 in the box, and so on, putting the same number of 10-dollars notes as the day of the month. How much money will be in the box if she keeps doing this for a) the first ten days of - Line fraction division
In how many parts do I have to divide the line whose endpoints are the images of the numbers 0 and 1 on the number axis so that they can be displayed: three-fifths, four-sevenths, five-eighths, and six-sixths - Jogging program
After knee surgery, the trainer tells the man to slowly return to his jogging program. He suggests a jogging program for 12 minutes each day for the first week. After that, he suggests increasing the time by 6 minutes per week. Find the number of minutes - MIT 1869
You know the length of parts 9 and 16 of the hypotenuse, at which a right triangle's hypotenuse is divided by a height. The task is to find the lengths of the sides of the triangle and the length of line x. This assignment was part of the Massachusetts In - Triangle height intersection
Given a triangle ABC: A (-1,3), B(2,-2), C(-4,-3). Determine the coordinates of the intersection of the heights and the coordinates of the intersection of the axes of the sides. - Angles - clock hands
Find the angle that the large hand makes with the small hand of the clock - the central angle at 12:30. Find the magnitude of the smaller angle (if possible). (Help: it's enough if you calculate how big an angle the hands make if they are 1 minute apart. - Mirror
How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm, and Paul is from the tower distance of 20 m. - Luiza
Luiza delivers newspapers in her neighborhood. If you plot the points (-1, 1), (4, 1), (4, -2), and (-1, -2), you will create a representation of the route she takes in miles. How many miles does her route cover? - Triangle perimeter similarity
Calculate the perimeter of triangle ABC if you know that it is similar to triangle EFG in which e=144 mm, f=164 mm, g=92 mm, and the similarity ratio is 4. Express the result in cm. - Two tangents
The figure shows a circle k with centre S and radius 5 cm, and a point A which is 13 cm from centre S. From point A, two tangents p and q are drawn to circle k, with points of tangency P and Q. In addition, another tangent t is drawn to circle k, intersec - Building shadow height
The school building casts a shadow 16 m long on the plane of the yard, and at the same time, a vertical meter pole casts a shadow 132 cm long. Determine the height of the building. - Polygon angle
A regular 15-angle is given. A triangle is formed if we connect points 3 and 7, 13 and 10. The vertices are 3 and 13, and the lines' intersections are 3.7 and 13.10. We are to determine the angle size formed by sides 3.7 and 13.10. These numbers indicate - Circle arc
A circular sector has an arc length of 7.16 m and an area of 146.69 m². Calculate the radius of the circle and the size of the central angle. - Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l - The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle?
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