Absolute value - practice problems - page 6 of 8
Number of problems found: 150
- Motorcycle and car
A car travels 11000 decimeters per minute, and a motorcycle travels at a speed of 330 meters in 11 seconds. They leave Prague from the same place, and the motorcycle leaves 45 minutes later behind the car. Who will be closer to Vimperek after an hour and - Distance of numbers
Which number has the same distance from the numbers -5.65 and 7.25 on the numerical axis? - Number property
Which number has such a property that if we increase it by 7, we get a number with the same absolute value as the original number? - Integer inequalities Find the number of all integers x that satisfy the following two inequalities: | x + 2 | = 3
- Equation with abs
Solve this equation with absolute value member: |3(3x-1)|=8 - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - Vector magnitudes
Determine the size of the vectors u = (2,4) and v = (-3,3) - Elevator
The panel house has ten over-ground stories and four underground. The lift goes from the ground floor to the 2nd floor, then down to the 3rd underground floor, nine floors up, and finally four floors down. To what floor does the elevator arrive? How many - Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube? - Right triangle - leg
Calculate the nearest tenth cm leg length in the right-angled triangle with hypotenuse length 9 cm and 7 cm long leg. - Equation with abs value
How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers? - Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 35.95°W. How far is the plane from the airport (round to the nearest mile)? - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Clock Tower
What angle is between the hands-on Clock Tower when it shows 17 hours and 35 minutes? - 3d vector component
The vector u = (3.9, u3), and the length of the vector u is 12. What is, is u3? - Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both). - Vectors
Vector a has coordinates (8; 10), and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c? - Two cars
Car A1 goes at an average speed of 127 km/h, and the second car, A2, goes at 122 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 4.7 meters long and the safety gap between cars is 2.6 meters.
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