Length - high school - practice problems - page 7 of 31
Number of problems found: 616
- Rotation 43561
The boy is sitting on a two-arm swing, and his seat is 300 cm away from the center of rotation. Its weight is 48 kg. The girl is sitting at the other end of the swing, and her mass is 36 kg. How far from the center of rotation must the girl sit for them t - A rectangle 4
A rectangle has an area of 300 and a perimeter of 80. What is the ratio of length and width? - Tarzan
Tarzan, weighing m = 90 kg, tries to cross the river by swinging with a vine hanging from a tree leaning over the river. Liana has a length l = 12 m. The speed of the Tarzan in the lowest swing position is v = 8 m/s. Tarzan doesn't know that the liana wil - Triangle's centroid
In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid), and the point S is the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side t - Base diagonal
In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal. - 8 wooden
Eight wooden poles are used for pillars, and the length of the pillars is from an arithmetic progression. If the second pole is 2 meters and the sixth pole is in order 5 meters, find the difference between the sixth and seventh poles. - Aircraft bearing
Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight? - Long hot dog
In Kostelec above Black Forest, they made a record-long hot dog. When he slowly moved it to the square, one of the spectators decided to measure its length: the size of his footprint was 28 cm; he measured 20 feet in the travel direction and counted 5 fee - Two cars
Two cars, spaced d1 = 500 m apart, start moving against each other at time t1 = 0, the first car with acceleration a1 = 4 m/s² and the second with acceleration a2 = 6 m/s². At what time t2 do they meet? What distances s1 and s2 will move from the start to - Harry
Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length. Their longer sides are three consecutive natural numbers. Fi - Three-digit numbers
How many three-digit numbers are not closer to 600 on the number axis than 400? - Tailor's 40591
The tailor's salon bought 130 meters of fabric for € 1,037. The meter of the first fabric costs € 8.90, and the meter of the second fabric costs € 7.40. Thus, they bought 130 meters of fabric for € 1,037. - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - The stadion
John can run around a circular track in 20 seconds and Eddie in 30 seconds. Two seconds after Eddie starts, John starts from the same place in the opposite direction. When will they meet? - Instantaneous 37961
A plane wave has an amplitude u0 = 40 cm and a frequency f = 10 Hz. The speed of wave propagation through the medium is v = 40 cm. S-1. At a distance x = 10 cm from the starting point, the wave has an instantaneous deflection u = 15 cm. How long does it t - Half-planes 36831
The line p and the two inner points of one of the half-planes determined by the line p are given. Find point X on the line p so that the sum of its distances from points A and B is the smallest. - Tallest people a
As a group, the Dutch are amongst the tallest people in the world. The average Dutchman is 184 cm tall. If a normal distribution is appropriate, and the standard deviation for Dutchmen is about 8 cm, what is the percentage of Dutchmen who will be over 2 m - Quadrilateral 36061
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid. - Calculate 35083
Draw an isosceles triangle ABC with a base 7 cm long and shoulders 5.5 cm long. Assemble all the heights, measure them, and calculate their sum.
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