Planimetrics - math word problems - page 103 of 184
Number of problems found: 3680
- Calculate 7214
Two tangents are drawn from point C to a circle with a radius of 76 mm. The distance between the two contact points is 14 mm. Calculate the distance of point C from the center of the circle. - Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the diagonals are perpendicular to each other. - Circumference 64104
The ABC triangle has a circumference of 11 cm. Triangle A'B'C ', similar to triangle ABC, has side lengths of 6 cm, 120 mm, and 1.5 dm larger than triangle ABC. Calculate the area of the triangle A'B'C '. - A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap - Chickens and rabbits
In the yard were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard? - Strawberries 82738
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect if we know that the b - Wool ball
Mrs. Black used 1.2 kg of wool to knit the sweater. The shop sold a wool ball weighing 100 grams for 39 CZK. How much money would she save if she knitted the sweater herself than if she bought it for CZK 720 in the shop? (CZK is Czech currency = Kč) - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Right triangle from axes
A line segment has its ends on the coordinate axes and forms a triangle of area equal to 36 square units. The segment passes through the point ( 5,2). What is the slope of the line segment? - Distance 6164
What is the area of a square when the distance between parallel lines is 6? - Equation of a circle
Write the general equation of a circle with center S(2;5) and point B(5;6) lying on this circle. - Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both). - Express
Express the equation of the function: a/prices of cucumbers for the number of cucumbers sold, if one cucumber costs CZK 5 b/the area of the rectangle on side b, if side a measures 5 cm c/the perimeter of the rectangle on side b, if side a measures 5 cm d/ - Corresponding 79314
On the circular face of the clock, we connect the points corresponding to the numbers 2, 9, and 11, which creates a triangle. Calculate the sizes of all the interior angles of that triangle. - Distance
What is the distance between the origin and the point (-11; 13)? - Height
Is it true that the height is less or equal to half of the hypotenuse in any right triangle? - Bed 10
A bed shaped like two equilateral triangles with a common side, with a side length of 2.5 m, is to be planted with seedlings of an ornamental shrub. The gardener recommended leaving 40 cm between the individual seedlings and 10 cm of the perimeter for the - Horizontally 5480
Let's have a 4x6 grid, i.e., with 5x7 grid points. Can each grid point be colored white or blue so that each point has an even number of white neighbors? At the same time, those points that are connected by one line of the grid are considered to be neighb - Washer
The washing machine drum washes at 64 RPM. The washing machine motor pulley has a diameter of 6 cm. What must be the diameter of the drum machine pulley when the motor is at 367 RPM? - Inner angles
The magnitude of the internal angle at the central vertex C of the isosceles triangle ABC is 72°. The line p, parallel to the base of this triangle, divides the triangle into a trapezoid and a smaller triangle. How big are the inner angles of the trapezoi
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