Grade - math word problems - page 375 of 953

Number of problems found: 19049

Three
Three pavers will pave the sidewalk in 4 days. How long does it take for two tiles to pave the same sidewalk?
Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm³, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.
Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height.
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?
Acid mixture
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?
Carpenter chair
Eight carpenters will make 30 chairs in 2 days. In how many days will ten carpenters make 72 chairs?
Car speed
The car covered the track 157.5 km in 2 hours and 15 minutes. How fast was he moving?
Wall building time
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?
Plan scale
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?
Iodine solution preparation
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.

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