Planimetrics - math word problems - page 13 of 184
Number of problems found: 3667
- Cplx sixth power
Let z = 2 - sqrt(3i). Find z6 and express your answer in rectangular form. if z = 2 - 2sqrt(3 i) then r = |z| = sqrt(2 ^ 2 + (- 2sqrt(3)) ^ 2) = sqrt(16) = 4 and theta = tan -2√3/2=-π/3 - The tent 3
The top of a 1.3 meters tall tent is tethered to the ground by a cable. The cable makes a 37 degrees angle with the ground. Find the cable length. - A right
A right triangle has side lengths a=3, b=5, and c=4, as shown below. Use these lengths to find tan x, sin x, and cos x. - Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - A triangle 7
A triangle lot has the dimensions a=15m, b=10m, and c=20m. What is the measure of the angle between the sides of b and c? - One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area. - Conjugate coordinates
If the rectangular conjugate of the polar vector 12 angle 35 degrees is equal to x+yi, find the sum of x and y. - Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15. - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area. - X-triangle
Find the length of the x segment in the given triangle drawings. - Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - A boy 5
A boy starts at A and walks 3km east to B. He then walks 4km north to C. Find the bearing of C from A. - Building shadow
When Sun's altitude 30° above the horizontal, then find the length of the shadow of a 50 m high of a building . - Angle and slope
Find the angle between the x-axis and the line joining the points (3, -1) and (4,-2) . - Vertical components
Find the horizontal and vertical components of the vector which has magnitude 750 as shown in the following figure. - Third angle
What is the third angle of a triangle if the first two angles have sizes 50° and 60°? - Perimeter 37
The perimeter of a square is o=18. What is the length of the side and the square? - Calculate 263
Calculate the area of a rhombus whose diagonals are u=12, v=19 - Oval running
Jan runs around the circumference of a circle with a diameter of 24 m. How many kilometers will he run if he goes around the circle four times? - Perimeter 59
The perimeter of a circular bed is 36m. Find the length of the part of its perimeter that corresponds to the given central angles: 90°,45°30°,120°,15°
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