Absolute value - practice problems - page 6 of 7
Number of problems found: 140
- 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. - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21) - 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[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Vector
Calculate the length of the vector v&; 8407; = (0.75, 5.5, 7.25, 1.25).
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