Planimetry - math word problems - page 43 of 72
Number of problems found: 1438
- Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence and the smallest angle is 70°. - Each side
Each side of a regular polygon is 5.2 m, and its perimeter is 36.4 m. Find the number of sides of a polygon. - Two angles 2
Two angles of a triangle have the same measure, and the third is 45 degrees greater than each of the other two. Find the measure of the largest angle. - What is 10
What is the measure of the square side whose area is (4x² + 28x+49) square units? - Track radius circumference
The runner circled the track three times. If he went around it once more, he would run one kilometer. What is the radius of the treadmill? - Two similar There are two similar triangles. One has a circumference of 100 cm, and the second has sides successively 8 cm, 14 cm, and 18 cm longer than the first. Find the lengths of its sides.
- Table paper coverage
The table has the shape of a rectangle with dimensions of 80 × 100 cm. Ten identical sheets of paper measuring 20 x 30 cm lie next to each other on it. Papers do not overlap or extend beyond the surface of the table. What part of the table surface is cove - Plot dimension reduction
The longer dimension of the rectangular plot was reduced by one-fifth, and the shorter dimension by 8%. By what percentage did the amount of land decrease? What is the perimeter of the fence now if the original dimensions of the fence were 60 m and 25 m? - Quadratic function graph
A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Displacement vector assembly
Assemble the two offsets, d1, and d2, shown by OA and OB oriented lines. The coordinates of the points are O = (0 m, 0 m), A = (3 m, 3 m), and B = (5 m, 2 m). Measure the magnitude of the resulting displacement d. - Seed drills
The tractor driver connected two seed drills behind the tractor and sowed 7 ha of grain in 5 hours. How many hectares did he plant in 8 hours the next day if he connected three seed drills? - Given is
The circle is given by the equation x² + y² − 4x + 2y − 11 = 0. Calculate the area of the regular hexagon inscribed in this circle. - A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)? - On the circular 3
On the circular lid of a salt shaker with a diameter of 4.5 cm, there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm; on the right are five small circular holes each with a diameter of 3 mm. Determine the ratio of the - Reduced - rectangles
The dimensions of a rectangle are a = 42 cm and b = 91 cm. Determine the perimeter and area of the rectangle after it is scaled down in the ratio 6:7 compared to the original. - Plot dimension increase
The surface area of the rectangular plot needs to be increased by 33.7 percent. One dimension was extended by 2.9 percent. By what percentage should the second dimension be increased? Round the result to two decimal places. - Triangle side ratio
I have a right triangle, the length of the hypotenuse is c 20, and I only know the side ratio a:b = 2:1. I can't figure out the actual length of the hangers = I'm already an old man, and my brain doesn't work at 100% like it did years ago at school - I co - Parabola point equation
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Sprinkler - irrigated area
A sprinkler is located in the park at a distance of 3 m from the sidewalk. Water blasted up to a distance of max. 5 m. What is the maximum length of the sidewalk it will cover? - FX parabola Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)
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