Physical quantity - math word problems - page 170 of 319
A physical quantity is a term numerically describing a property or state of a physical object. For example, a physical quantity is a length, and its corresponding physical unit is a meter (symbol m). Similarly, the quantity is weight, and the unit is the kilogram (kg). Physical quantities can be divided into a scalar (has magnitude), vector (has magnitude and direction), and tensor (has magnitude and multiple directions).Number of problems found: 6365
- Dimensions 9371
Change both dimensions of the rectangle in a ratio of 5:3. Initially, the dimensions are 9cm and 15cm. What are the dimensions of the rectangle after the change? - Triangles 6682
Triangles ABC and A'B'C'. They are similar. In triangle ABC, the measures of two angles are 25 degrees and 65 degrees. Explain why in triangle A'B'C' the sum of the sizes of the two angles is equal to 90 degrees - Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cmx32 cm. How many tiles will they nee - Uphill garden
I have a garden uphill, increasing from 0 to 4.5 m for a length of 25 m. How much is the climb in percent?
- Screens
The area of a 25-inch TV screen is 300 inch² the area of a 40-inch TV screen is 768 inch². The area of the smaller screen is what percent of the area of the larger screen? - The perimeter
The perimeter of equilateral △PQR is 12. The perimeter of the regular hexagon STUVWX is also 12. What is the ratio of the area of △PQR to STUVWX? - Arc
The circle arc corresponding to the angle is 32° is 28 dm long. What is the length of the entire circle? - 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 - Represents 32931
Jeníček will go on vacation with his parents and go by boat for a certain part of the journey. He is interested in how many nautical miles they will sail if their route represents by a line 7.4 cm long on a 1:25,000 scale map. (1 nautical mile = 1,850 m)
- Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2: 3: 5 ratio. - Spectators 7562
The theater has the shape of a semicircle. A podium is the diameter of a semicircle. Spectators K, L, M, N, and O, sit around the perimeter. Who sees the podium at the greatest angle? - Thunder and lightning
There was a glimpse of the sky, and we heard thunder in 4.5 seconds. The light spreads at 300,000 kilometers per second, so we can assume the flash instantly without delay. However, the sound's speed is much lower in the air, one-third of a kilometer per - Sides of a rectangle
The dimensions of a rectangle are in a 4:12 ratio. If the shorter side length is 12 cm, what is the length of the longer side in centimeters? - Altitude difference
What is a climb per mille of the hill long 4 km and the altitude difference is 6 meters?
- Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square? - Weighted-average
Calculate the weighted-average cost of the following inventory purchases: Date Quantity; Purchased ; Cost per Unit May 4; 33; $12.25 May 11; 41; $13.87 May 29; 37; $11.99 - Heat transfer
We placed a lead object weighing 0.4 kg and 250°C in 0.4 L water. What was the initial temperature of water t2 if the object's temperature and the water after reaching equilibrium was 35°C? We assume that the heat exchange occurred only between the lead o - Calculate: 5656
Janko is skating at a speed of 18 km/h. Its kinetic energy is 0.5 kJ. Janko weighs 40 kg. Calculate: 1. what work will the braking forces do before Janko stops? 2. How big is the braking force when Janko stops after crossing a track of 14 m.? - Hall
The rectangular hall will have to pave with square tiles with a side length of 15 cm. The hall has a length of 18 meters and a width of 3 m. How many tiles need to buy if 2 percent of the amount is disrupted during the work?
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