Planimetrics - math word problems - page 125 of 184
Number of problems found: 3667
- On a line
On a line p : 3 x - 4 y - 3 = 0, determine the point C equidistant from points A[4, 4] and B[7, 1]. - Find parameters
Find parameters of the circle in the plane - coordinates of center and radius: x²+(y-3)²=14 - Isosceles 71154
Calculate all interior angles in the isosceles triangle ABC if we know that BC is the base, and we also know: | ∢BAC | = α; | CABCA | = 4α - Rectangular 7801
The length of the sides of the rectangular garden is 4:3. The junction of the centers of adjacent sides is 20 m long. Calculate the area of the garden. - Calculate 6885
Triangle with o = 16.8 cm and aspect ratio a:c = 1:2 and b:c = 5:6. Calculate side lengths a =? B =? c =? - Circle segment
A quarter circle with a radius of 4 has the same area as a circle segment with a radius of 3. What is the magnitude of the center angle of the circle segment? - Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height) - Unknown number 24
I think the number: a - is the same as the square area with the 12th circumference. What is this number? b - its half is seven times bigger than its quarter. Is this the number? - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC. - ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment? - two spacecraft
Recently, two spacecraft successfully landed on two small planets labeled α and β. Both ships were equipped with sensitive sensors that measured the basic parameters of the asteroids. The sensors found that the day α took six times longer on planet α than - Circumference 5493
By what percentage will the area of a square decrease if its circumference decreases by 17 percent? - Centimeters 4170
In triangle ABC, we connected the centers of the sides, and we got a smaller triangle with an area of 14 cm². What is the area of triangle ABC in square centimeters? - Rectangle 82456
The sides of the rectangle are in the ratio of 5 : 8. Its perimeter measures 208 cm. Determine the area of this rectangle. - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Rectangle's 81596 The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area.
- Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Snowman
In a circle with a diameter of 40 cm are drawn three circles (as a snowman) where: its diameters are integers, each larger circle diameter is 2 cm larger than the diameter of the previous circle. Determine the snowman height if we wish for the highest sno - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary?
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