Time + fractions - practice problems - page 7 of 22
Number of problems found: 437
- Maggie
Maggie observes a car and a tree from a window. The angle of depression of the car is 45 degrees, and that of the tree is 30 degrees. If the distance between the vehicle and the tree is 100 m, find Maggie's distance from the tree. - Loonie
Loonie has three wooden sticks measuring 17 inches, 21 inches, and 25 inches. He lays them down to form a triangle. Find the measure of the angle enclosed by 17 inches and 21 inches. (Express answers to the nearest hundredths) (using the law of cosines) - Suppose 6
Suppose the life span of a revolutionary light bulb is normally distributed with a mean life span of 70 thousand hours and a standard deviation of 3 thousand hours. If a light bulb is chosen at random: a) what is the probability the life span will be with - Identical 73194
Three identical pumps fill 50,400 liters of diesel into the tank in 7 hours. How much more (less) diesel will they pump if we add two more pumps, and they will all work for 4 hours? - Relay 2
Marco Racer's best time in the 100-yard relay is 15 1/4 seconds. How many seconds would it take him to run 450 yards at the same rate? - Adjusting 72554
Two working groups are adjusting the park. The first group would do the work in 15 days, and the second in 25 days. How many days will they do the work together? - A turkey
Alana was cooking a turkey. It takes 4 1/2 hours to cook. She checks it every 20 min, 1/3 of the hour. How many times will she check it before it is cooked? - Observatory 71934
The aircraft flying towards the observatory was aimed at a distance of 5300 m at an elevation angle of 28º and after 9 seconds at a distance of 2400 m at an elevation angle of 50º. Calculate the distance the plane has flown in this time interval, its spee - At 5:00
At 5:00 AM, the room temperature was 20°C. After six hours, the reading was 28°C. The temperature rose to how many degrees? What was the average change in temperature per hour? - Shadows
At the park, a young woman who is 1.72 meters tall casts a 3.5 meters shadow at a certain hour. What is the height of a tree in the park that, at the same time, casts a 12.3 meters shadow? - Interest 71474
I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%? - Circumference 71304
The PQR triangle with a circumference of 25.5 cm has sides in a ratio of 4:6:5. Determine the lengths of its sides. - Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself? - Determine 70834
At the same time, a vertical 2-meter pole casts a shadow of 0.85 meters. At the same time, a chimney of unknown height casts a 45m long shadow. Determine the height of the chimney. - Perpendicular 70824
One perpendicular to the ABC right triangle has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Peter 70794
Peter is x years old. Juraj is 2/5 older than Peter. They are 72 years old in total. How old is Peter, and how old is Juraj? - The MRT train
The MRT running from Taft to North Avenue has a starting velocity of 60km/hr. After a malfunction, the brakes failed, making the train run at a velocity of 80km/hr. What is the acceleration rate if the time for velocity change is 5 seconds? - Penny free fall
A man drops a penny from the top of a 500m tall building. After t seconds, the penny has fallen a distance of s meters, where s(t)=500-5t². Determine the average velocity between 1s and 5s. - Altogether 69994
Twelve players signed up for the squash tournament. Based on the lottery, they formed pairs, and in the first round, each pair played one match. The winners advanced to the second round, where they played each other one game at a time. How many matches we - Power during takeoff
The aircraft weighing 3.5 tons will disembark 1 km in 1 minute after takeoff and reach a speed of 290 km/h. Find the average power of its engines during this time.
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