Planimetrics - math word problems - page 116 of 184
Number of problems found: 3673
- Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0 - Cu thief
The thief stole 25 meters of copper wire with a cross-section area of $s mm². Calculate how much money is earned on scrap redemption if copper is redeemed for 5.1 Eur/kg. Copper's density is 8.96 t/m³. - Reduced 81099
A square has a side length of 25 cm. How big is its area if the side is reduced by 25%? - Perimeter 80853
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? - Original 45871
Resize the square to 7:3. The original size is 39cm. What is the size of the square after the change? - Calculate 3167
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Square - increase sides
If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side - The carpet
How many meters of carpet 90 cm wide need to cover the floor room, which has a rectangular shape with lengths of 4.8 m and 2.4 m, if the number of pieces on the carpet is needed to be lowest? - Horizontal distance
The road has a gradient of 8%. How many meters will it rise over a horizontal distance of 400m? - Thomas
Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m, and Samko from Robo 500. Anton lives 300 meters away from Robo, further than Samko. How far away lives Anton from Rob? - Triangle - ratio
Change the triangle in a ratio of 3:4 The length of the sides of a triangle: a = 7 cm b = 6 cm c = 5 cm - Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. When its dimensions increase in the ratio of 5:3, how many times does the area and perimeter increase? - Percentage of waste
In a square plate with a side 58 cm, we cut four same circles. Calculate the percentage of waste. - Velocipede
The front wheel of the velocipede from the year 1880 had a diameter of 1.8 m. Suppose the front wheel is turned again once, then the rear wheel six times. What was the diameter of the rear wheel? - Ratio of sides
The triangle has a circumference of 21 cm, and the length of its sides is in a ratio of 6:5:3. Find the length of the longest side of the triangle in cm. - Square side
Calculate the length of the side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. - Circles
Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers? - Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending? - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Plot
The length of the rectangle is 8, smaller than three times the width. If we increase the width by 5% of the length and the length is reduced by 14% of the width, the circumference of the rectangle will be increased by 30 m. What are the dimensions of the
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