Planimetrics - math word problems - page 173 of 184
Number of problems found: 3667
- Perimeter of a circle segment
A circle with a diameter of 30 cm is cut by a chord t = 16 cm. Calculate the perimeter and area of the smaller segment. - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area. - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - Base and legs
A right triangle has a base/legs/length of 12 cm, and the angle with the hypotenuse is 13 degrees. What is the length of the second hypotenuse? - In the 18
In the right triangle ABC, The hypotenuse AB = 15 cm, and B = 25 degrees. How long is BC to the nearest centimeter? - Cis notation
Evaluate the multiplication of two complex numbers in cis notation: (6 cis 120°)(4 cis 30°) Write the result in cis and Re-Im notation. - The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase. - One side
One side is 36 long with a 15° incline. What is the height at the end of that side? - Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20) - The ladder
The ladder touches a wall at the height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall? - Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m - Ditch
The ditch profile is an isosceles trapezoid with bases of length 80m and 60m. The slope of the sidewall of the ditch is 80°. Calculate the ditch depth. - Cosine
Cosine and sine theorem: Calculate all unknown values (sides and angles) of the triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? ° - Diagonals of the rhombus
How long are the diagonals e, and f in the diamond if its side is 5 cm long and its area is 20 cm²? - Bearing - navigation
A ship travels 84 km on a bearing of 17° and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point to the nearest kilometer. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Ladder slope
What is the slope of a ladder 6.2 m long and 5.12 m in height? - Perpendicular 83636 In a right-angled triangle, you know a drop of 7 meters and an angle of 30 degrees. Calculate the type of overhang; calculate both variants - the specified angle is opposite and adjacent to the specified perpendicular.
- Circle and chord
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc?
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