Absolute value - practice problems - last page
Number of problems found: 120
- Two cars
Car A1 goes at an average speed of 106 km/h and the second car, A2, goes at 103 km/h. How many seconds will it take car A1 to circulate car A2? Assume that both cars are 5 meters long and the safety gap between cars is 1.5 meters. - Circle
The circle is given by center on S[-7; 10] and maximum chord 13 long. How many intersect points have a circle with the coordinate axes? - Log
Calculate the value of expression log |-7 -i +i²| . - Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i. - Triangle
Plane coordinates of vertices: K[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles. - Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2). - Two boats
Two boats are located from a height of 150m above the lake's surface at depth angles of 57° and 39°. Find the distance of both boats if the sighting device and both ships are in a plane perpendicular to the lake's surface. - Product
The sum and the product of three integers are 6. Write the largest of them.
- ABS
What is the value of ||-81|-|-90||? - Triangle
For how many integer values of x can 5, 6, and x be the lengths of the sides of a triangle? - Segments
Which of the pairs of numbers on the number line encloses the longest segment: ... - Null points
Calculate the roots of the equation: 3 |x +4| +3 |x +5| +2 |x +4| = 30 - Cylinders
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume, and by how much?
- Square
Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD. - Compass
What angle is between directions SSE (SouthSouthEast) and SW (SouthWest) on the compass? - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - ABS CN
Calculate the absolute value of the complex number -15-29i. - Crossroads
A passenger car and an ambulance come to the rectangular crossroad, and the ambulance leaves. Passenger car at speed 39 km/h and ambulance at 41 km/h. Calculate the relative speed of the ambulance moving to the car.
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