Numbers - math word problems - page 320 of 321
Number of problems found: 6411
- Goniometric form
Determine the goniometric form of a complex number z = √ 110 +4 i.
- Fifth 3871
What is the sum of the fifth root of 243?
- IS triangle
Calculate the interior angles of the isosceles triangle with base 12 cm and legs 19 cm long.
- Space vectors 3D
The vectors u = (1; 3;- 4) and v = (0; 1; 1) are given. Find their sizes, calculate their angles, and determine the distances between them.
- 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 =? °
- Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
- Third roots
Determine the sum of the three complex third roots of the number 64 .
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
- Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a
- Complex roots
Find the sum of the fourth square root of the number 16.
- Determine 3882
Determine the sum of the three square roots of 343.
- Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area.
- Observer 64354
At what angle of view does an object 70 m long appear to the observer, 50 m away from one end and 80 m from the other end?
- Instantaneous 76754
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2, sin( ωt - 30 °). Thanks for any help or advice.
- SSA and geometry
The distance between the points P and Q was 356 m measured in the terrain. The viewer can see the PQ line at a 107°22' viewing angle. The observer's distance from P is 271 m. Find the viewing angle of P and the observer.
- Gon functions
Decide which numbers (values of trigonometric functions) are positive or negative (or zero). Positive mark +1 and negative -1.
- Slope
What is the slope of a line with an inclination 3.96 rad?
- Cross-section 62964
The owner must cover the carport with a hipped roof with a rectangular cross-section of 8 m x 5 m. All roof surfaces have the same slope of 30°. Determine the price and weight of the roof if 1 m² cost €270 and weighs 43 kg.
- Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6)
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