Planimetry - math word problems - page 50 of 72
Number of problems found: 1438
- Picture ratio reduction
The picture for the textbook was reduced to a ratio of 2:5. What are the dimensions of the reduced image if the original dimensions were 20 cm and 15 cm? - The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond. - Water pressure bottom
The hydrostatic pressure at the bottom of a cylindrical water container is 10 kPa. The bottom has an area of 0.25 m². How much pressure does the water exert on the bottom? - Plot map area
On a map with a scale of 1:30,000, the plot is represented by a square with a side of 6 cm. What is the area really like? How many times is the actual plot larger than its image on the map? - Equation of the circle
Find an equation of the circle whose diameter has endpoints (1,-4) and (3,2). - Square triangle area
The figure shows the squares ABCD, EFCA, CHCE, and IJHE. Points S, B, F, and G are, respectively, the centers of these squares. Line segment AC is 1 cm long. Determine the area of triangle IJS. Please help... - You want
You want to buy additional land in the shape of a rectangle with a width of 2,500 cm and a length of 0.065 km. If the price is Php 150,000/hectare, how much peso do you need to pay? - Figure
Figure A is a scale image of Figure B, as shown. (Figure A is 6 inches, and Figure B is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x - Clock dial angles
The triangle that connects on the dial: a) 2,7,9 b) 3,6,10 Calculate the size of the interior angles. - Track ascent meters
How many meters will the track ascend if it is 200 kilometers long and the ascent is 7 per mille? - Rectangle diagonal ratio
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - 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? - A rectangle 12 A rectangle has a width of 7.2 cm shorter than its length. The perimeter of this rectangle is 22.8 cm. Write the width-to-length ratio of this rectangle in the simplest form and show how you solve the problem.
- A triangle 6
A triangle has vertices on a coordinate grid at H(-2,7), I(4,7), and J(4,-9). What is the length, in units, of vector HI? - Circumscribed triangle
Calculate the radius of the circle of the circumscribed triangle, which has side dimensions of 8, 10, and 14 cm. - Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed? - Triangle perimeter ratio
The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm? - Point plane distance
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0 - Board triangle ratio
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Triangle perimeter ratio
The lengths of the sides of the triangle are in the ratio 7:6:4. The shortest side is 36 cm. What is the perimeter in cm of this triangle?
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