Algebra - math word problems - page 351 of 353

Number of problems found: 7043

Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%?
Pool drainage time
In a hotel pool, the pool manager drains the water through two identical drains every 10 hours. How much time would he save in draining the pool if the water was drained through three more drains at the same flow rate?
Painting time
One painter would paint the school in 15 days. Together with the second painter, they painted the school in 6 days. In how many days the second painter would have painted the school himself?
The tower
The observer sees the tower's base 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands?
Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants?
Pharmacist
The pharmacist had a 12 liter vessel of herbal lotion, which contained a 30% active ingredient. Her assistant poured 18 liters of herbal lotion, containing 45% of the active ingredient, into a container. What percentage of herbal lotion was produced?
Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r an
Truck material delivery
Two different trucks together would bring the construction material in 6 hours. However, after 4 hours, the first car was transferred to another job, and the second one was driven for another 6 hours. How many hours would it take for the first car to deli
Clouds
We see the cloud under an angle of 26°10' and the Sun at an angle of 29°15'. The shade of the cloud is 92 meters away from us. Approximately at what height is the cloud?
Altitude difference
Between the resorts is 15 km, and the climb is 13 permille. What is the height difference?
Three-digit number
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
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.
Depth angles
At the top of the mountain stands a castle with a tower 30 meters high. We see the crossroad at a depth angle of 32°50' and the heel at 30°10' from the top of the tower. How high is the top of the mountain above the crossroad?
Right triangle eq2
Find the lengths of the sides and the angles in the right triangle. Given area S = 210 and perimeter o = 70.
Perimeter - ASA theorem
Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees.
Right
Determine angles of the right triangle with the hypotenuse c and legs a, b, if: 2a +5b = 5.283c
Probability - on the roll
Find the probability that one will fall at least once in three rolls.
Fighter
A military fighter flies at an altitude of 10 km. The ground position was aimed at an altitude angle of 23° and 12 seconds later at an altitude angle of 27°. Calculate the speed of the fighter in km/h.
Traffic sign
There is a traffic sign for climbing on the road with an angle of 7%. Calculate at what angle the road rises (falls).

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