Absolute value - practice problems - page 6 of 7
Number of problems found: 131
- Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 32.12°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 = 272 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?
- 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 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 the center on S[-7; 10], and the maximum chord is 13 long. How many intersections have a circle with the coordinate axes?
- Log
Calculate the value of expression log |-10 -2i +7i²| .
- Unit vector 2D
Find coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
- XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y.
- 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?
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