Physical quantities - math word problems - page 45 of 298
Number of problems found: 5958
- Triangle 97
Triangle DEF with angle Ê = 40°, angle F = 90°, EF = 45 mm. Find the length of DE. - A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month. - 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 triangle 7
A triangle lot has the dimensions a=15 m, b=10 m, and c=20 m. 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. - 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. - Three angles
Find all missing angle values using the Law of Cosines, given all three sides: a = 12, b = 13, and c = 20 - Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15. - 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. - 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. - Building shadow
When the Sun's altitude is 30° above the horizontal, find the length of the shadow cast by a 50 m high building. - A boy 5
A boy starts at A and walks 3 km east to B. He then walks 4 km north to C. Find the bearing of C from A. - Vertical components
Find the horizontal and vertical components of the vector which has a magnitude of 750 as shown in the figure. - Angle and slope
Find the angle between the x-axis and the line joining the points (3, −1) and (4, −2). - Calculate the density
Calculate the density of a body with a mass of 6.5 kg and a volume of 0.01 m³. - Asphalt - road
2,933 kg of asphalt is how many m³? Use the density of asphalt as 2,400 kg/m³. Note: Natural asphalt (bitumen): 1,010–1,050 kg/m³ Asphalt mixture (for roads): 2,200–2,500 kg/m³ (Contains mineral aggregates, so it is denser.) - Stay - CK
A holiday stay costs 14,200 CZK per person. If you pay by the end of March, the travel agency offers a discount of 4,500 CZK. How much will two people pay for the trip if they pay by the end of March?
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