Examples for secondary school students - page 157 of 230

Number of problems found: 4586

Calculate 4689
The area of the rotating cone shell is 240 cm², and the area of its base is 160 cm². Calculate the volume of this cone.
System 2xy
Solve the system: (x + 5) (y-2) = (x-1) (y + 1) (x + 1) (y + 1) = (x + 5) (y-1)
Graphic solution
Solve the system by the graphical method: x + y = 8 2x-y = 1
Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Find the ratio of its areas.
Probability 4665
We have three series of products. We select one product for quality control. Determine the probability of finding a low-quality product if the first batch contains 2/3, the second batch 7/9, and the third batch 3/4 quality products.
How far
From the top of a lighthouse 145 ft above sea level, the angle of depression of a boat is 29°. How far is the boat from the lighthouse?
Substitution 4644
Solve the system of equations by substitution, comparison, and addition method and perform the test: 4x + y = 5 3x-5y = 21
Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
Cells - guts
Guts (a single-celled organism) under ideal conditions divides into two littles every 27 hours on average. How many would there be in 7 days if all the childs remained alive?
Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull
Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
Elements
If the number of elements is decreased by two, the number of permutations is decreased 30 times. How many elements are?
Percentage 4619
Concert tickets have risen in price from € 18 to € 24. What percentage did they increase in price?
Rectangle
The rectangle has a perimeter of 75 cm. The diagonal length is 32.5 cm. Determine the length of the sides.
Projectile 4611
A projectile weighing m1 = 0.01 kg is fired at a velocity v1 = 800 m/s from a rifle weighing m² = 4 kilograms.
Seamstress' 4608
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October?
Rectangular 4598
The rectangular matrix contains three rows and four columns. Determine how many elements this matrix contains.
Determinant 4597
What number do we get if we multiply the determinant of matrix A by the determinant of its inverse matrix?
Sum of money
On a certain sum of money, invested at the rate of 10% compounded annually, the difference between the interests of the first year and the third year is 315. Find the sum.
Ratio iso triangle
The ratio of the sides of an isosceles triangle is 7:6:7. Find the base angle to the nearest answer correct to 3 significant figures.

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.