# Square root + expression of a variable from the formula - practice problems

#### Number of problems found: 119

- Finite geometric sequence

Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =? - Equilateral cylinder

Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter . - The ratio 7

The ratio of the sides of two squares 4:5 if the sum of their areas is 180 cm² Find the sides of the two squares. - Seventh term

The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term. - ABS triangle

Point S is the center of the square ABCD. The ABS triangle has a content of 9 cm². What is the circumference of the square in cm? - Isosceles triangle

Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm and the arms a = b = 13 cm long. - The satellite

The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. For how long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of sate - Semicircle

The ornament consists of one square and four dark semicircles. The area of the square is 4 cm ^ 2. Find the area of one dark semicircle and round the result to hundreds. - Insert

Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence. - Louis

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement? - How to

How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm. - Cylinder container

If the cylinder-shaped container is filled with water to a height of 5 dm, it contains 62.8 hectoliters of water. Calculate the diameter of the bottom of the container. Use the value π = 3.14. - Mr. Gardener

Mr. Gardener wants to make wood for the balcony. Boxes. Each will have the shape of a perpendicular prism with a square base, the height is limited to 60 cm. Each container will be filled with soil by pouring the whole bag of substrate sold in a package w - Regular square prism

The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism. - Calculate

Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm. - The sum

The sum of the squares of two immediately following natural numbers is 1201. Find these numbers. - Regular 4-sided pyramid

Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m. - Squares above sides

In a right triangle, the areas of the squares above its sides are 169; 25 and 144. The length of its longer leg is: - Annual growth

The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%? - Annual increase

The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%.

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Square root - practice problems. Expression of a variable from the formula - practice problems.