Algebra - math word problems - page 345 of 353
Number of problems found: 7043
- Two triangles SSA
We can form two triangles with the given information. Use the Law of Sines to solve the triangles. A = 59°, a = 13, b = 14 - Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π. - Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Right triangle
Calculate the unknown side b and interior angles, perimeter, and area of a right triangle if a=10 cm and hypotenuse c = 16 cm. - PIN code
The PIN on Michael's credit card is a four-digit number. Michael told his friend: • It is a prime number - a number greater than 1, which is only divisible by the number one and by itself. • The first digit is larger than the second. • The second digit is - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - Assembly sick worker
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8cm. Calculate the circumference and the hexagon area. - Express train
An international express train drove from Kosice to Teplice. In the first 279 km, the track was repaired; therefore, it was moving at a speed of 10 km/h less than it was scheduled to drive. The rest of the 465 km trip has increased the speed by 8 km/h to - Motion with Decreasing Acceleration
The acceleration of a mass point during its rectilinear movement decreases uniformly from the initial value a0 = 10 m/s2 at time t0 = 0 to a zero value for a period of 20 s. What is the speed of the mass point at time t1 = 20 s, and what is the path of th - Worker trench time
Worker A will dig a trench in 12 days. Worker B will dig a trench in 18 days. How many days will it take them together? - Isosceles Triangle Circumradius
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle? - 30-gon
The radius of the inscribed circle is 15cm at a regular 30-gon. Find the side length a, circle radius R, circumference, and area. - Number divisibility probability
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five? - 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? - Cleaner injury hours
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves? - There
There is 5 l of water with a temperature of 20 °C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30 °C. What was the temperature of the hot water? - Triangle side calculation
Calculate the lengths of the remaining sides of right triangle ABC, given angle alpha = 45° and perimeter o = 125. - Isosceles triangle 10
In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles. - Decagon
Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m
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