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Number of problems found: 2198

The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and area of the trapezoid?
Ball
The soldier fired the Ball at an angle of 35° at an initial velocity of 292 m/s. Determine the length of the litter. (g = 9.81 m/s²).
Probability 37651
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, if the probability of a boy is 0.51?
Records
Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors?
Two forces 3
Two forces of magnitude 8 Newtons and 15 Newtons respectively act at a point. If the resultant force is 17 Newtons, find the angle between the forces.
Instantaneous 69064
Describe how the instantaneous power value in the AC circuit changes during one period.
Aircraft 25161
The average climb angle of the aircraft is 11 ° 20', and its average speed is 400 km / h. How long does it take to climb to a height of 3000m?
Raindrops
The car runs on a horizontal track at a constant speed of 20 m²-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro
Designated 71874
The patrol had started at a designated marching angle (an azimuth) of 13°. After 9 km, the azimuth's angle changed to 62°. The patrol went 10 km in this direction. Find the distance from where the patrol started.
Components 67664
The force R = 12 N is divided into two components, F1 and F2. Their directions make angles α = 30 °, β = 45 ° with the direction R. What are the components F1 and F2?
Inclined plane
The body stays on an inclined plane and exerts a compressive force of 70N on it. Find the angle between the inclined plane and the horizontal if a gravitational force of 100N acts on the body.
A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in
Inclined plane
On the inclined plane with an inclination angle of 30°, we will put the body (fixed point) with mass 9 kg. Determine the acceleration of the body motion on an inclined plane.
Resultant force
Calculate mathematically and graphically the resultant of three forces with a common center if: F1 = 50 kN α1 = 30° F2 = 40 kN α2 = 45° F3 = 40 kN α3 = 25°
Parallelogram 62084
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100 °. What is its area?
Triangle 35881
The sum of the lengths of the two sides b + c = 12 cm Beta angle = 68 Gamma angle = 42 draw triangle ABC
Rotation of the Earth
Calculate the circumferential speed of the Earth's surface at a latitude of 61°. Consider a globe with a radius of 6378 km.
Forces
In point O acts three orthogonal forces: F₁ = 20 N, F₂ = 7 N, and F₃ = 19 N. Determine the resultant of F and the angles between F and forces F₁, F₂, and F₃.

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