Grade - math word problems - page 374 of 944
Number of problems found: 18875
- The aluminum
We placed the aluminum object with a weight of 0.80 kg and a temperature of 250°C in the water with a weight of 1.6 kg and a temperature of 23°C. What is the system temperature after reaching equilibrium? We assume that the heat exchange occurred only bet - The bath
The bath has water with a volume of 220 l and a temperature of 65°C. Find the mass m2 of water at 15°C to be poured, so the resulting temperature in the bath will be 40°C. We neglect the heat exchange between water and the environment. Water's - Triangle's centroid
In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid), and the point S is the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side t - Calculate
Two friends Mário and Jano lived on two different sides of a highway. They decided to find out how wide it was. Mário drew a picture, based on which they then made measurements the next day. They measured the values a =5m, b= 5.9 m, and d = 5 m. Calcula - Temperature drops
If the temperature of a city drops 2° every day and increases by 3° every five days, how long does it take to drop to -15° from temperature +5°? - An average a day
Forest workers planted 96 trees on Monday, 120 on Tuesday, and 61 on Wednesday. How many trees did she plant on the last day of Thursday if she planted an average of 105 trees a day? - Timothy
Timothy is 56 4/5 inches tall. Theresa is 1 1/6 inches shorter than Timothy, and Jane is 1 1/3 inches shorter than Theresa. How tall is Jane? - Calculation 43211
The roof is shaped like a hemisphere with a diameter of 8 m. Calculate how much m² of roofing is needed to cover the entire top if we count 15% for waste and residues and round the result to tenths of m². Use the constant pi rounded to two decimal places - Conductor 43201
An electric charge of 10 C passed through the conductor in 50 s. What electric current passed through the conductor? - Conductor 43191
An electric current of 100 mA flowed through the conductor for 160 s. What electric charge passed through it? - Altitude angles
Cities A, B, and C lie in one elevation plane. C is 50 km east of B, and B is north of A. C is deviated by 50° from A. The plane flies around places A, B, and C at the same altitude. When the aircraft is flying around B, its altitude angle to A is 12°. Fi - Base diagonal
In a regular four-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the pyramid's surface area and volume. - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal and the base's diagonal. - Mr. Brown
Mr. Brown invested 15,000 euros in the bank for an annual term deposit. After the first year, he gained 600 euros. What was the annual interest rate of his deposit? - Volunteers
Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11 1/2 kg in another. They sent 2 3/5 kg to be recycled and threw the rest away. How many kilograms of trash did they throw away? - The inflated
The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a full-blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a height - The granite ball What is the weight of a granite ball with a radius of 60 cm if 1 m³ of granite weighs 2.7 tons?
- The vase
There were roses in the vase. Half were red, a quarter was white, and 12 were yellow. How many roses were in the vase? - 8 wooden
Eight wooden poles are used for pillars, and the length of the pillars is from an arithmetic progression. If the second pole is 2 meters and the sixth pole is in order 5 meters, find the difference between the sixth and seventh poles.
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