Geometry - math word problems - page 16 of 158
Number of problems found: 3148
- General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin
- Triangle 15123
In triangle ABC, we know the angle BAC = 50 degrees. What is the angle between the axis of the angle ACB and the axis of the angle CAB?
- Three
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle
- Lie/do not lie
The rule f(x) = -x-10 gives the function. Find whether point C[5; -15] lies on this function. Solve graphically or numerically and give reasons for your answer.
- Difference 79094
Trapezoid, gamma angle=121°, alpha angle=2 thirds of delta angle. Calculate the angle difference alpha, beta
- Lunes of Hippocrates
Calculate the sum of the area of the so-called Hippocratic lunas, which were cut above the legs of a right triangle (a = 6cm, b = 8cm). Instructions: First, calculate the area of the semicircles above all sides of the ABC triangle. Compare the sum of the
- Nicolette
Nicolette makes a small bead bracelet using five red, eight purple, and six green beads. A large necklace has the same ratio of beads as a small bracelet. If the large necklace requires 15 red beads, how many purple beads are needed to make a large bracel
- 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.
- Equation 2604
The given triangle is ABC: A [-3; -1] B [5; 3] C [1; 5] Write the line equation that passes through the vertex C parallel to the side AB.
- Perpendicular projection
Determine the distance of point B[1, -3] from the perpendicular projection of point A[3, -2] on a straight line 2 x + y + 1 = 0.
- Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
- Inscribed circle
Calculate the magnitude of the BAC angle in triangle ABC if it is three times less than the angle BOC, where O is the center of the circle inscribed in triangle ABC.
- Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides.
- Direct proportion
y varies directly as x and y=32 when x=4. Find the constant of variation.
- The publisher
The publisher prepares the release of the dictionary. No matter the number of printed copies, preparation costs are 150000 CZK. The printer charges 80 CZK for one print. A) What are the costs of one dictionary if 5000 copies are printed? B) For what numbe
- Two chords
Two parallel chords are drawn in a circle with a radius r = 26 cm. One chord has a length of t1 = 48 cm, and the second has a length of t2 = 20 cm, with the center lying between them. Calculate the distance between two chords.
- Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x.
- Circle - AG
Find the coordinates of the circle and its diameter if its equation is: x² + y² - 6x-4y=36
- There
There is a triangle ABC: A (-2,3), B (4, -1), C (2,5). Determine the general equations of the lines on which they lie: a) AB side, b) height to side c, c) Axis of the AB side, d) median ta to side a
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