Physical quantity - math word problems - page 330 of 342
Number of problems found: 6824
- Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it?
- 30-60-90
The longer leg of a 30°-60°-90° triangle measures 5. What is the length of the shorter leg?
- n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
- Rhomboid
Calculate the circumference and area of the rhomboid with sides 19 and 20, with their angle 40°.
- Angle
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis.
- Subtracting complex in polar
Given w =√2(cosine (pi/4) + i sine (pi/4) ) and z = 2 (cosine (pi/2) + i sine (pi/2) ). What is w - z expressed in polar form?
- Triangle sides to angles
The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle.
- Average speed
The first third of the track was driven by a car at a speed of 15 km/h, the second third at a speed of 30 km/h, and the last third at a speed of 90 km/h. Find the average speed of the car.
- Black building
Keith built building with a rectangular shape 6.5 m × 3.9 m. Calculate how much percent exceeded the limit 25 m² for a small building. A building not built by the law is called a "black building". Calculate the angle that the walls were clenching each oth
- Megapascals
What is the area of cross-section of the piston if the force of 300 kN produces a pressure of 5 MPa?
- Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree.
- Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height?
- Diagonals
The rhombus has two diagonals, e=14 dm, and f=11 dm. Calculate the side angle and height of the rhombus.
- Triangle
Calculate the area of the right triangle ΔABC if one leg is long 12 and its opposite angle is 47°.
- Diagonals in diamond
In the rhombus, a = 160 cm and alpha = 60 degrees are given. Calculate the length of the diagonals.
- Isosceles right triangle
Calculate the area of an isosceles right triangle whose perimeter is 810 cm.
- Horizontal 83362
The observer sees the plane at an elevation angle of 35° (angle from the horizontal plane). At that moment, the plane reported an altitude of 4 km. How far from the observer is the place over which the aircraft flies? They circled for hundreds of meters.
- Determine 83083
A 6.5-meter-long ladder rests against a vertical wall. Its lower end rests on the ground 1.6 meters from the wall. Determine how high the top of the ladder reaches and at what angle it rests against the wall.
- Diagonals
Calculate the length of the rhombus's diagonals if its side is long 21 and one of its internal angles is 10°.
- Pipes
The water pipe has a cross-section 1903 cm². An hour has passed 859 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 11 hours if water flows at the same speed?
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