Geometry - math word problems - page 155 of 162
Number of problems found: 3227
- Two forces
Two forces with magnitudes of 25 and 30 pounds act on an object at 10° and 100° angles. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and your final answer. - Maturitný - RR - base
In an isosceles triangle ABC with base AB, ∠BAC = 20°, AB = 4. The axis of the interior angle at vertex B intersects side AC at point P. Calculate the length of the segment AP. Give the result to two decimal places. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Cosine
Calculate the cosine of the smallest internal angle in a right-angled triangle with cathetus 3 and 8 and the hypotenuse 8.544. - Climb
The road has climbing 1:28. How big is the angle that corresponds to this climbing? - Cuboids
Two separate cuboids with different orientations are in space. Determine the angle between them, knowing the direction cosine matrix for each separate cuboid. u1=(0.62955056, 0.094432584, 0.77119944) u2=(0.14484653, 0.9208101, 0.36211633) - Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality?
- Mast angles and height
Calculate the height of the mast, whose foot can be seen at a depth angle of 11° and the top at a height angle of 28°. The mast is observed from a position 10 m above the level of the base of the mast. - Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line - Tunnel - quadrilateral
How long will the tunnel AB be, distances AD=35 m, DC=120 m, CB=85 m, and angles ADC=105 degrees and BCD=71 degrees. ABCD is a quadrilateral. - Geodesist
Triangle-shaped field (triangle ABC) has a side AB = 129 m. path XY is parallel to the side AB, which divides triangle ABC into two parts with the same area. What will be the length of path XY? Help, please, geodesist. - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (6, 22) and v = (10, -11) - Height of poplar
From the 40 m high observation deck, you can see the top of the poplar at a depth angle of 50°10' and the bottom of the poplar at a depth angle of 58°. Calculate the height of the poplar. - Approximation of tangent fx
What is the nontrigonometric formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree) and tan(2 degrees) continuing up to the tangent(45 degrees)? Okay, to use pi Check calculation for 12°. - Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes?
- Determine 82034
The vectors a = (3, -2), b = (-1, 5) are given. Determine the vector c for which a. c = 17; c = 3 - Quadrilateral - irregular
Find the length of the side d = |AD| in quadrilateral ABCD: a= 35m, b= 120m, c=85m, angle ABC = 105 degrees, angle BCD= 72 degrees - Quadrilateral oblique prism
What is the volume of a quadrilateral oblique prism with base edges of length a = 1m, b = 1.1m, c = 1.2m, d = 0.7m if a side edge of length h = 3.9m has a deviation from the base of 20° 35' and the edges a, b form an angle of 50.5°? - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Vector sum
The magnitude of the vector u is 2 and the magnitude of the vector v is 11. The angle between vectors is 64°. What is the magnitude of the vector u + v?
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