Planimetrics - math word problems - page 147 of 185
Number of problems found: 3685
- Paratrooper
After the parachute is opened, the paratrooper drops to the ground at a constant speed of 2 m/s, with the sidewinding at a steady speed of 1.5 m/s. Find: a) the magnitude of its resulting velocity concerning the ground, b) the distance of his land from a - Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes? - Isosceles 2588
Given an isosceles trapezoid ABCD, in which | AB | = 2 | BC | = 2 | CD | = 2 | DA | holds. On its side BC, the point K is such that | BK | = 2 | KC |; on its CD side, the point L is such that | CL | = 2 | LD |, and on its DA side, the point M is such that - A screen
A screen is 1680 x 1050 pixels. What are the coordinates (and size in pixels) of a central area which is exactly 33% of the screen size? - Circle
The circle is given by the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes? - Northeast 66694
Katka and Honza rode out on their scooters at the same time. Katka drove at a speed of 4.5 km/30 min, and Honza drove at a speed of 4 km/20 min. a) how many m did they travel in 2 minutes if they went in the opposite direction? b) how many miles did they - Katy MO
Kate drew a triangle ABC. The middle of the line segment AB is marked as X, and the center of the side AC is marked as Y. On the side BC, she wants to find point Z so that the area of a 4gon AXZY is the greatest. What part of the ABC triangle can maximall - Flowerbed
The family has tulips on a square flower bed of 6 meters. Later, they added a square terrace with a side of 7 meters to their house. One vertex of the terrace lay exactly in the middle of a tulip bed, and one side of the terrace was divided by the side of - Hexagon
Divide a regular hexagon into lines with nine completely identical parts; none of them must be in a mirror image (you can only rotate individual parts arbitrarily). - Simultaneously 5010
Construct the circles k1 (S1;r1) and k2(S2;r2), if S1 S2 = 7 cm, d1= 12 cm and r2 = 1/2 r1. Mark the point: a) A lying on circle k1, b) B lying in both circles determined by circles k1 and k2, c) C lying simultaneously on both circles, d) D, for which: (S - Closest point
On the line p: 2x + y + 1 = 0, find the point A ∈ p that is closest to the point P =(1,0) - Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer - Isosceles - isosceles
It is given a triangle ABC with sides /AB/ = 3 cm /BC/ = 10 cm, and the angle ABC = 120°. Draw all points X such that the BCX triangle is an isosceles and triangle ABX is an isosceles with the base AB. - Triangular 29781
A triangular building plot is drawn on a 1:5,000 scale plan as a triangle with sides of lengths 32.5 mm, 23.5 mm, and 36 mm. Determine how many m of mesh are needed to fence the entire plot. - Coordinates - ellipse
Write the equation of the ellipse that passes through the points, and its axes are identical to the coordinate axes when A = [2, 3] and B = [−1, −4]. - Floating floor
In the new building, a floating floor worker is considered in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in four rooms with a total area of 90 m²? - Rectangular trapezoid ZIMA
I have a rectangular trapezoid ZIMA (the right angle at the top of Z. ZIMA = winter in English) ZI-7cm, ZM-5cm, AM-3.5cm, and we have to write the procedure to construct this trapezoid. - Conditions 7186
Given an isosceles right triangle ABS with base AB. On a circle centered at point S and passing through points A and B, point C lies such that triangle ABC is isosceles. Determine how many points C satisfy the given conditions and construct all such point - Calculate 3993
The median of the trapezoid p is 18.6 cm, and the base a = 29.8 cm. Calculate the size of the second base c. - Rectangular 13993
The plan of the fitness center is made on a scale of 1:150. The rectangular fitness center has 5cm and 6cm dimensions on the plan. How many euros will we pay to cover the fitness studio with a floating floor if we pay 12 euros for 1 m² of floating floor?
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