Planimetrics + time - practice problems - page 3 of 12
Number of problems found: 228
- RT a-b-x
There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x. Give your answer as an exact surd. - Angle's 7852
The hour and minute hands on the clock face make an alpha angle. If you know it's 10 hours and 12 minutes, what is the angle's size? - Triangles 80492
The sum of the lengths of the three segments is 140mm. Name at least 2 triplets of segment lengths from which we can construct a triangle. Construct triangles - Triangle
The triangle has known all three sides: a=4.6 m, b=7.4 m, c= 3.8 m. Calculate the area of this triangle.
- Perpendiculars 64574
Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long. - Euklid4
The legs of a right triangle have dimensions 241 m and 34 m. Calculate the length of the hypotenuse and the height of this right triangle. - Intersections 68784
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Determine 79364
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Clock's 38311
How far apart are the tips of the clock's hands in 3 hours if the larger hand is 124 mm long and the smaller 75 mm?
- Hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 90°? Consider the continuous movement of both hands for hours. - Time gone
The Square of Richard's age equals the age of his mother. When he is two times older, his mom will be 7/2 times older than he. How old are Richard and his mom? - Hairs
Suppose the length of the hair is affected by only the α-keratin synthesis, which is the major component. This synthesis takes place in the epithelial cells of the hair bulb. The structure of α-keratin is made up of α-helix for the 3.6 amino acid residues - MIT 1869
You know the length of hypotenuse parts 9 and 16, at which the hypotenuse of a right triangle 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 Inst - Strawberries 82738
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect if we know that the b
- Determine 28391
Determine the angle that the large hand makes with the small hand of the clock - the central angle at 12:30. Determine the size 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 ap - Horizontally 5480
Let's have a 4x6 grid, i.e., with 5x7 grid points. Can each grid point be colored white or blue so that each point has an even number of white neighbors? At the same time, those points that are connected by one line of the grid are considered to be neighb - Clocks
What distance will describe the tip of a minute hand 6 cm long for 20 minutes when we know the starting position with finally enclosed hands each other 120°? - Medians 2:1
The Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from vertex B? b, Find the distance between T and the side b. - Experimental 82019
3.6 tons of sugarcane were harvested on the experimental plot of 0.2 ha. How many tons of sugarcane can be harvested on a plot of land of 18.6 hectares with the same yield per hectare?
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