Angle - math word problems - page 11 of 64
Number of problems found: 1264
- Triangle angle bisector
In the triangle, ABC, the angles alpha and beta axes subtend the angle phi = R + gamma/2. R is a right angle of 90°. Verify. - Parallelogram - diagonals
Suppose a parallelogram ABCD, the length of one of its diagonals is equal to that of one of its sides. What are the interior angles of this parallelogram? - Elevation of the tower
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39°25''. If we come towards its foot 50m closer to place B, we can see the top of the tower from it at an elevation angle of 56°42''. How tall is the tower - Tower elevation angles Find the height of the tower when the geodetic measured two angles of elevation α=34° 30'' and β=41°. The distance between places AB is 14 meters.
- Rail temperature expansion
How does the rail lengthen when the temperature changes from -30°C to 30°C if it is 25 m long at 0°C? The temperature coefficient of longitudinal expansion is 12.10na-6Kna-1. - Liquid mass volume
The liquid has a specific gravity of γ = 9050 N. m-3. Calculate its specific gravity, the mass of 2 m³ of this liquid, and also of 3 m³ of this liquid. - Parallelogram diagonal construction Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals.
- Triangle similarity area
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Confidence interval
When checking the use-by date of a specific type of canned meat in warehouses of meat industry products, 340 canned goods were randomly selected, and it was found that 63 of them had passed their warranty period. Establish a 95% confidence interval to est - In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? - Minute hand angle
How many hours does it take for the minute hand to travel a straight line and a right angle? - Supplementary angles 4
Angle A and angle B are supplementary. The measure of angle B is 82.5. What is the measure of angle A in degrees? Enter your answer as a decimal, if necessary, like this: 42.5 - Osmium wire
A spiral of osmium wire has a resistance of 300 ohms at a temperature of 20 degrees Celsius. To what temperature was the coil heated if its resistance rose to 2940 ohms? (alpha=4*10-3 1/K) - Aluminum resistance temperature
An aluminum wire has a resistance of 4.25 ohms at 0 degrees. Determine its resistance at a temperature of 200 degrees Celsius. The temperature coefficient of the electrical resistance of aluminum is 4.4·10-3 1/K. - Platinum temperature coefficient
The resistance of a platinum wire at a temperature of 20°C is 20 Ω, and when heated to 500°C, it increases to 59 Ω. Determine the mean temperature coefficient of platinum - Coil resistance temperature
A copper wire coil winding has a resistance of 10 Ω at a temperature of 14°C. The passing current by the coil heats up, and its resistance increases to 12.2 Ω. To what temperature did the coil winding heat up? α = 3.92 * 10-3 1/K. - Consider 6
Consider the following word problem: The temperature readings for 20 days at 1 AM at a local ski resort were recorded as follows: 9° 27° −4° 1° 5° 14° 6° 28° −2° 16° 30° 4° 20° 30° −5° 15° −7° 25° −1° 5° What was the average of the recorded temperatures f - The electric motor The electric motor winding's copper wire (alpha=4*10-3 1/K) has a resistance of 42 ohms at a temperature of 18 degrees. What is its resistance at an operating temperature of 50 degrees?
- Course to airport
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm? - One angle 2 One angle of a triangle measures 50°. The other two angles are in a ratio of 5:8. What are the measures of those two angles?
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