Length + ratio - practice problems
Number of problems found: 329
- Angle of inclination
Find the angle of inclination of a ramp that rise for 80 cm and is 200 cm long.
- The length 20
The length and breadth of a rectangular park are in the ratio 8:5. A path,1.5 m wide, running all around the outside of the park has an area of 594 sq m. Find the dimensions of the park.
- Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square.
- Jeremy 2
Jeremy is digitally editing out some red-eye problems in the photos from his sister's birthday party. The eyes are small and hard to click on, so he zooms in on the photo from 100% to 400%. In the zoomed-in photo, the eyes are 3 cm wide. How many cm wide
- Two points
M and N are two points on the X-axis and Y-axis, respectively. Point P (3, 2) divides the line segment MN in a ratio of 2:3. Find: (i) the coordinates of M and N (ii) slope of the line MN.
- Fish service
According to a report by the U. S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Arolik River in Alaska = 484.6 millimeters with a standard deviation = 31.2 millimeters. Assume these lengths are normally distributed. What
- Divide 46
Divide 1111 in the ratio of 8:3 .
- A rope
A 75m piece of rope needs to be cut in a ratio of 1:4. What is the length of each piece?
- Charter flying service
Henry and Wayne operate a charter flying service out of Breckenridge, which has an elevation of 9,600 feet above sea level. Henry has two flights scheduled for the day. He is taking a couple from Breckenridge to Hamilton, which has a 35% elevation drop. A
- Emu vs. Ostrich
The ostrich and the emu are the two largest birds. An emu is usually 1/2 the size of an ostrich. The sum of their heights is 150 inches. How tall is the average ostrich?
- Map scale
On a map, on a scale of 1:50000, what is the distance in kilometers that 6 cm on the map represents?
- A statue
A statue on a shelf is recreated on a computer screen. The actual statue is 14 in. tall and 4 in. wide. The statue on the computer screen is 1.5 in. wide. How tall is the statue on the computer screen?
- A blanket
A blanket is 60 inches by 72 inches. If you want to make it 1/3 smaller, what size would it be?
- A 100-inch
A 100-inch stick is to be divided into four using the ratio 2: 5: 7: 11. How long is the longest piece?
- The ratio 10
The ratio of length and breadth of a rectangular park is 3:2, and its perimeter is 150m. Find its area.
- Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct.
- Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid.
- Dimensions 83092
On the 1:75 scale plan, the building plot is a rectangle with 60 cm and 50 cm dimensions. If 1 m² of land costs 80 euros, what is the price of the land?
- Centimeters 82996
The volume of the trapezoid is 132 cm². The difference in the length of both bases is 6 cm, and the height is 2 cm longer than the shorter base. Determine the height of the trapezoid in centimeters.
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