Planimetrics - math word problems - page 109 of 185
Number of problems found: 3687
- Distance
What is the distance between the origin and the point (-11; 13)? - Rectangle area decrease
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how much less the area of the rectangle has decreased in percentages. - Clock Hand Angle
What is the angle of the big hand of the watch in 20 minutes? - Parabola
Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Fence paint consumption
Mr. Konečný used 0.9 kg of paint to paint an 8 m long and 1.2 m high fence. a) How many kg must he buy when he will paint a 35m long fence of the same height? b) How much paint will Mr. Malík need for a fence 1.5m high and 42m long. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Non-woven fabric
A square sandpit should have a side length of 1.6 m. How long do you need a wooden board to enclose the sandpit? Under the sandbox, a non-woven fabric will extend by 0.2 m on each side. How much will we need? - Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²? - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises? - Equator
Suppose that a tourist went on foot over the Globe Equator. How many meters more track made his hat on his head as the shoes on your feet? The radius of the Earth is 6378 km, and the height of the tourist is 1.7 m. - Waste from Cutting Circle
A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste? - Minute hand area
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Grass seed calculation
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²? - Plot dimension calculation
The rectangular plot has dimensions of 48 mm and 72 mm on the plan on a scale of 1:5000. Calculate its dimensions and give the results in meters. - Area Rate Time
In 2 hours, 100m square, what is an area in 3 hours? - XY triangle
Determine the area of a triangle given by line 2x-4y+47=0 and coordinate axes x and y. - Negative and postcard
The image on the negative has dimensions of 36x24 mm and is enlarged to a postcard format of 13.5x9 cm. In what proportion have the lengths increased? In what proportion has the image area increased? - Window
Peter demolished a box hole in the wall for the window frame 100×67 cm. When they come, they will find a master-fitted frame and window that glass is 13.5 cm from the hole in each direction. Calculate how much percent less light enters the window th - Parametric equations
Write the parametric equations of height hc in triangle ABC: A = [5; 6], B = [- 2; 4], C = [6; -1]
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