Geometry - math problems
Number of problems found: 1486
- Wooden prism
Find the weight of a wooden regular triangular prism with a height equal to the perimeter of the base and a figure inscribed in a circle with a radius of 6, M cm, where M is the month of your birth. The density of oak is 680 kg/m3.
Calculate the height of a tree that casts a shadow 22 m long, if you know that at the same time a pillar 2 m high casts a shadow 3 meters long.
- Similarity of triangles
If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place.
- The block
The block has the dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block.
- Height of the prism
The volume of the quadrilateral prism is 723.6 cm3. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism.
- Angle ASB
On a circle with a radius of 10 cm and with a center S, the points A, B, C are given so that the central angle ASB is 60 degrees and the central angle ASC is 90 degrees. Find the length of the circle arc and the amount of AB and AC offsets.
- A paint
A paint tin is a cylinder 12cm and height 22 cm. Leonardo, the painter, drops his stirring stick into the tin and it disappears. Work out the maximum length of the stick.
- The base
The base of the quadrilateral prism is a trapezoid with a content of 75 cm square. The prism is 6 cm high. Find the volume of the prism.
- Touch circle
Point A has a distance IA, kl = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l
- Approximation of tangent fx
What is the non-trig formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree), tan( 2 degrees) continuing up to tangent(45 degrees)? okay to use pi Check calculation for 12°
There is water in the block-shaped tank with dimensions of 3 m 1.5 m 5 m, it occupies 70% of the tank volume. Find the volume of water in the tank (in hl) .
- Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ.
- Eights of butter
How many eights of butter (1/8 of kg = 125 g) can be stored in a box with dimensions of 4 dm, 2 dm, 1.8 dm, if the eighth of butter has dimensions of 8 cm, 5 cm, 3 cm?
Using the point-slope equation, find the equation containing (-7, 3) and slope m = -4
If 4 and a half teaspoons of baking powder are need to make 10 servings of cornbread, how many teaspoons are needed to make 25 servings?
- Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yard tall. What is the volume of the pool? Round to the nearest tenth.
- The coordinates
The coordinates (5, 2) and (-6, 2) are vertices of a hexagon. Explain how to find the length of the segment formed by these endpoints. How long is the segment?
- What is 10
What is this The area of a parallelogram that has vertices with the coordinates (0, 0), (4, 0),(5, 3), and (1, 3)?
- A circle
A circle relation is given to be x2 + y2 =16. What is the radius of the circle?
- Polygon - area coordinates
Find the perimeter and the area of the polygon with the given vertices. T (2,7), U (2,9), V (5,9), W (5,7)