Equation + expression of a variable from the formula - practice problems - page 10 of 40
Number of problems found: 800
- A fraction
I think of a fraction. If we increase its numerator and denominator by one, the value of the fraction increases by one-tenth. What fraction do I think? - The farmer
The farmer sees the back fence of the land, which is 50 m long at a viewing angle of 30 degrees. It is 92 m away from one end of the fence. How far is it from the other end of the fence? - The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm². Find the radii of the bases when their difference in lengths is 10cm. - The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
- Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base. - The car
The car weight 1280 kg and increased its speed from 7.3 m/s to 63 km/h on a track of 37.2 m. What force did the car engine have to exert? - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 370 cm. What are the measurements of its height and base? - The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
- Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles on the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1? - MO Z7–I–6 2021
In triangle ABC, point D lies on the AC side and point E on the BC side. The sizes of the angles ABD, BAE, CAE, and CBD are 30°, 60°, 20°, and 30°, respectively. Find the size of the AED angle. - Arithmetic progression 2
The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term. - Bivariate data set
Here is a bivariate data set in which you believe y to be the response variable. x y 51.4 44.8 60.2 46.6 60.1 46.8 45.8 46.3 37.4 41.8 72.4 52.5 60 48.2 67.5 49.5 60.9 49.8 51.1 45.7 62.7 49.6 194.9 84.2 Make a scatter plot of this data. Which point is an - Circumference 40401
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number.
- Perpendicular 40203
In a right triangle, one perpendicular is 5 cm longer than the other perpendicular. The diaphragm is 150 mm. Calculate the lengths of the hangings. - Graduates 40111
As many as 62.5% of residents at the business academy graduated with honors. How many high school graduates were there if 30 students graduated with honors? - Simultaneously 39941
The reservoir is filled with a large pump in 20 hours, a medium in 24 hours, and a small one in 30 hours. How many hours will it be filled if all pumps are switched on simultaneously? - The sum
The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Find unknown 2
Find unknown denominator: 2/3 -5/? = 1/4
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