Quadratic equation + square root - practice problems
Number of problems found: 133
- A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field.
- The Product 16
The Product of two numbers is 96, and their quotient is 6. Find the numbers.
- A boat 3
A boat takes 1 hour longer to go 36 km up a river than to return. If the river flows at 3 km/h, find the rate at which the boat travels in still water.
- Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x .
- Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it!
- An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
- Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
- A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides .
- Twice squared
If the square of twice a number is 81, what is the number? Give a positive number x.
- A group
A group of young men decides to raise ksh 480,000 to start a business. Before the actual payment was made, four members pulled out, and each of the remaining had to pay an additional ksh 20,000. Determine the original number of members.
- Segments on the hypotenuse
A right triangle ABC has a hypotenuse of c=26cm. How many segments does the height vc=12 cm cut out on the hypotenuse c? What are the lengths of the sides a and b? What are the angles at the vertices A and B?
- Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side.
- Rhombus - ratio
In a rhombus, the ratio of the side to the height to this side is 4 : 1, if its area is 49 cm². Calculate the size of the side and the height to this side.
- Circumference 83645
The area of a right triangle is 240 cm². Determine its circumference if the given lengths are suspended in a ratio of 5:12.
- Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
- Cylinder express radius
Please express r from the formula for the surface of the cylinder.
- Coordinate 82855
What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system?
- Diagonals 82850
How do I find the diagonals of a rhombus if its perimeter is 80dm and one diagonal is 2x larger than the other?
- Parallelogram 82626
Calculate the area of a parallelogram if we know the perimeter is 23 cm, the diagonal is 8.5 cm, and one side is 1.5 cm longer.
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