Angle practice problems - page 45 of 63
Number of problems found: 1253
- Center of gravity
In the isosceles triangle ABC the lengths of AB and the height to AB is the ratio of 10:12. The arm has a length of 26 cm. If the center of gravity is T, find the area of the triangle ABT.
- Entrepreneur 6309
Renting a 1m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboar
- Railway
The railway line had a 5.8 km segment climb nine permille. How many meters does the track ascent?
- Intersection 3383
A regular 15-angle is given. A triangle is formed if we connect points 3 and 7, 13 and 10. The vertices are 3 and 13, and the lines' intersections are 3.7 and 13.10. We are to determine the angle size formed by sides 3.7 and 13.10. These numbers indicate
- Embankment 7879
An embankment 7.5 m high should be built on the horizontal plane. The width of the upper surface of the embankment is 2.9 m, and the slope is 35 °. What will be the lower width of the embankment?
- ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand
- Diamond ABCD
In the diamond ABCD, the diagonal e = 24 cm, and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.
- The hemisphere
The hemisphere container is filled with water. What is the radius of the container when 10 liters of water pour from it when tilted 30 degrees?
- Rectangular trapezoid
In a rectangular trapezoid ABCD with right angles at vertices A and D with sides a = 12cm, b = 13cm, c = 7cm. Find the angles beta and gamma and height v.
- 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.
- Diagonals
Draw a square ABCD whose diagonals have a length of 6 cm.
- Circumference - bed
The perimeter of the round bed is 36m. Find the length of the part of its circumference that belongs to the given center angles of 180°
- Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter?
- Diamond and angles
The internal angles in the diamond are 60° and 120°. Its side is 5 cm long. Find the area of a diamond.
- Circumference 81778
Points A and B lie on the circle k. The circumference of the circle k is 40 CM, and the length of the circular arc AB is 10 CM. Determine the size of the angle ABS.
- Calculate 7111
Calculate the length of the arc, which will describe the endpoint of a longer hand 10 cm long wall clock after 20 minutes.
- Construct 5593
Construct an isosceles trapezoid, whose base is 6 cm long, the base forms an angle of 30 ° with the diagonal, and the arms are 4 cm long.
- Circle and hexagon
Calculate the radius of a circle whose circumference is 8.7 cm longer than the inscribed regular hexagon's circumference.
- Rhombus
One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
- Heptagon perimeter
Calculate a regular heptagon's perimeter if its shortest diagonal length is u=14.5cm.
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