Rearrange variables - math word problems - page 87 of 147
Number of problems found: 2922
- Cincinnati
A map is placed on a coordinate grid. Cincinnati is located at (5,4), and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth. - Triangle α and side
Side a in the right triangle has size a = 120 mm, angle α = 60°. How big is the hypotenuse c? - Extending the sides
The sides of a square and a rectangle will be simultaneously and repeatedly extended according to the following rules: all sides of the square we extend always by 2 cm, the shorter sides of the rectangle we extend always by 1 cm, and the longer sides alwa - Rectangle Side from Diagonal
Calculate the other side of the rectangle if one side and the length of the diagonal are known: a = 3 cm u = 5 cm b =? - The pot
The pot is a cylinder with a volume of V = 7 l and an inner diameter of d = 20 cm. Find its depth. - Cone Radius Sector Angle
Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =? - Spherical cap
A spherical cap is placed on a cylinder of height 4.6 cm such that the area of the curved surface of the cap is 20 cm². Determine the radius r of the sphere from which the cap was cut. - Inlet minus outlet
Water flows into the tank through two pipes and out of the third pipe spontaneously. Pipe A would fill the tank in 3 hours, pipe B would fill in 4 hours, and pipe C would flow out in 12 hours. If all three pipes open simultaneously, how long will the tank - Balance Scales Immersed Bodies
At the end of one arm of the equilibrium scales, which are in equilibrium, a lead body with a volume V1 is suspended in the air. At the end of the other arm is an aluminum body with a volume of V2. The balance arms have sizes l1 and l2, lead density h1 = - Pool capacity
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there? - The pool - optimization A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
- Bank Deposit for Interest
Tatrabanka offers deposits with an annual interest rate of 3.6%. How much EUR must an entrepreneur deposit in Tatrabanka so that at this interest rate, after the end of the year, the bank will credit him with €1,000 interest on the deposit? - Square Lounge Drunken Shopper
After a long dinner, a man named Edward is lying inside a lounge in the shape of square ABCD, in such a position that triangle DEC is equilateral. A second person, Frank, is lying on edge BC with |EB| = |EF|. What is the size of angle CEF? - Hyperbola equation
Find the hyperbola equation with the center of S [0; 0], passing through the points: A [5; 3] B [8; -10] - Rectangle There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
- Cone Volume Surface Height
In the rotating cone = 100π S rotating cone = 90π v =? r =? - Cylindrical Container Volume
The cylindrical container should have a volume of 1 liter and a height of 15 cm. What will be its average height? - Juice Container Diameter Volume
What diameter will a 20 cm high cardboard juice container have to fit half a liter? - Block Volume Surface Ratios
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface. - Arithmetic sequence calculation
The arithmetic sequence is given: Sn = 222, n = 12, a1 = 2. Determine d, a12.
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