Grade - math word problems - page 370 of 947

Number of problems found: 18923

Tower's view
From the church tower's view at 65 m, the top of the house can be seen at a depth angle of alpha = 45° and its bottom at a depth angle of beta = 58°. Calculate the house's height and its distance from the church.
Aircraft
From the aircraft flying at an altitude of 500m, they observed places A and B (at the same altitude) in the direction of flight at depth angles alpha = 48° and beta = 35°. What is the distance between places A and B?
Grams 44441
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid?
A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap
The rectangle
The rectangle has one side 8 cm smaller than the type. If you reduce the length by 6 cm and increase the width by 2 cm, you will get a square whose area is 400 cm². What are the original dimensions of the rectangle?
A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total water weight to the nearest pound in the tank if water weighs 62.5 pounds per cubic foot?
Carpenters 44401
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs?
Minutes 44391
The car covered the track 157.5 km in 2 hours and 15 minutes. How fast was he moving?
Three-quarters 44381
During the reconstruction of the apartment, the bricklayer built three-fifths of the wall in three-quarters of an hour. How much time does it take to build two walls?
Painting classrooms
Martha solicited 3 2/3 liters of paint for the brigade. Their city mayor gave their school another 2 2/5 liters of paint. How many classrooms can be painted if each classroom needs 1 3/7 liters?
Dimensions 44361
On mill paper, the dimensions are 11 * 7.5 mm, and the external dimensions of the sauna are 4.4 * 3 m. On what scale is the plan drawn on graph paper?
Calculate 44351
Calculate how many grams of iodine and ethanol are needed to prepare 200 grams of 6% iodine in ethanol solution.
Measurement - the laboratory
Laboratory measurements determined the following roller lengths (in millimeters): {402; 410; 412; 410; 413; 418; 405; 409; 410; 409} Calculate arithmetic, geometric mean, mode, and median.
The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm.
CoG center
Find the position of the center of gravity of a system of four mass points having masses, m₁, m₂ = 2 m1, m₃ = 3 m1, and m₄ = 4 m₁, if they lie at the vertices of an isosceles tetrahedron. (in all case
The output
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Transformation ratio k = 4. Find the voltage to which the primary coil is connected. How many turns does the primary coil have if a current of 1 A flows through it? What cu
The transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220 V. How many turns does the secondary coil have when it has a voltage of 55 V? Determine the transformation ratio and decide what the transformation is.
A piece 2
A piece of material measures 38.25 inches. Courtney cuts the piece of material into two pieces. One piece measures 19.5 inches. Could he use an addition equation to find the length m of the other piece of material?
Perimeter 44281
We used 30 m² of floor covering for the floor in the 12 m long corridor. How many m of perimeter rail do we need if we put it on all sides?
Identical 44271
Ten identical trucks will take 240 tons of concrete to build the dam in 3 working days. How many tons of concrete will seven trucks take to make the dam in 5 days?

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