Grade - math word problems - page 877 of 915
Number of problems found: 18282
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank?
- Railways
Railways climb 2.8 ‰. Calculate the height difference between two points on the railway distant 5997 meters.
- Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface.
- Pool
Mr. Peter builds a pool in the garden in the shape of a four-sided prism with a rhombus base. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water does Mr
- Strip
From 3 cm wide strip should be cut rhombus with area 16 cm². How long will it be on its side?
- Math test
There are 32 students in the 6A class, and the teacher managed to give tests to 12 students. 12 testes he gave in 12 min. How many pupils still haven't tested? How long will it take the teacher to give tests to 29 students?
- Area of RT 2
Calculate the area of a right triangle whose legs have a length of 6.2 cm and 9.8 cm.
- Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0.
- Purchase 808
Someone spent 1/8 of their money on writing paper and three times as much on stamps. He still has 80 hours left. How many pennies did he have before the purchase?
- Ray
Light ray loses 1/17 of brightness passing through a glass plate. What is the brightness of the ray after passing through 4 identical plates?
- LCM
What is the least common multiple of 5, 50, 14?
- RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26.
- Asymptote
What is the vertical asymptote of f(x) = (-2x-8)/(2x+26)
- Vectors
For a vector w is w = 2u-5v true. Find coordinates of vector w if u=(3, -1), v=(12, -10).
- Series
Your task is to express the sum of the following arithmetic series for n = 24: S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11
- Task
I have homework. The cube's edge is 7 cm long, and I must find the diagonal between the wall and the body.
- Paddlers
Students of canoeists traveled on a trip of three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day?
- Triangle
Plane coordinates of vertices: K[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles.
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