Units - math word problems
Number of problems found: 3470
The garden has two opposite parallel fences. Their distance is 33.1 m. Lengths in these two fences are 75.5 meters and 49.4 meters. Calculate the area of this garden.
What width and length in centimeters may have rectangle land when round the dimensions to the meter , the width is 5 m and length 7 meters?
- Circular arc
Calculate the length of the circular arc if the diameter d = 20cm and the angle alpha = 142 °
- Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C.
- Pouring alcohol
100 liters of alcohol has 70% How many liters of water need to be added to have 60% alcohol?
- The sponsor
The school received money from the sponsor. She used one-third to buy computers, half of the rest to adjust the gym. It still has 4000 euros left. How many euros did the sponsor donate to the school?
- Cylinder height
Calculate the height of the cylinder and its surface is 2500 dm2 and the bases have a diameter 5dm.
Two workers will construct the stage at the festival in 54 hours. Organizers need to shorten the assembly time by 42 hours. How many workers must the assembly company send?
- Scale of the map
The distance between two cities is actually 30 km and the map is 6 cm. What is the scale of the map?
- Volume increase
How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
- Pentagonal pyramid
Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.7 cm and a plane ABV, ABC has angle 37 degrees.
If you take a bank loan $ 10000 and we want to repay after the year, we have to pay the total amount $ 10320/ What is the annual interest rate on this loan?
Pedestrian came started at 8h in the morning with speed 4.4 km/h. At half-past eleven cyclist started at 26 km/h same way. How many minutes take cyclist to catch up pedestrian?
At this point, the first skier lead 20 km before the second skier and travels at a constant speed 19 km/h. The second skier rides at 24 km/h. How long take him to catch up the first?
How high is the building that throws horizontal shadow 95.4 m long at angle 50°?
Two trams started at the same time from the same place. One tram journey takes 30 minutes and the second 45 minutes to its final stop. How long will trams meet again?
- Working together
Two people will do the work in 12 days. They worked together for 8 days. Then only one worked for 10 days. How many days would each of them do the work if he worked alone?
- Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l and the perimeter of base is three times of the height.
Maple peak is visible from a distance 3 m from the trunk from a height of 1.8 m at angle 62°. Determine the height of the maple.
- Bank account CZ
We will deposit CZK 6,600 into the bank for 1 year with an interest rate of 2.5%. The interest tax is 15%. How many crowns will we receive after one year?