Ratio - math word problems - page 28 of 74
Ratio problems are word problems that use ratios to relate the different items in the question. On solving problems and tasks proportionally, we recommend a hint rule of three. Rule of three (proportionality) helps solve examples of direct and inverse proportionality. Three members make it possible to calculate the fourth - unknown member.Number of problems found: 1478
- Similarity coefficient
In the triangle TMA, the length of the sides is t = 5cm, m = 3.5cm, and a = 6.2cm. Another similar triangle has side lengths of 6.65 cm, 11.78 cm, and 9.5 cm. Determine the similarity coefficient of these triangles and assign similar sides to each other. - Chord of triangle
If the whole chord of the triangle is 14.4 cm long, how do you calculate the shorter and longer parts? - Final exam
At the final exam, the student answers from three areas, which are evaluated in a ratio of 1:2:2. What grade will John receive if he replies as follows: 3,1,2. - Four-component 27131
The four-component ointment contains components A, B, C, and D. Components A and B are mixed in a ratio of 1: 2, components B and C in a ratio of 3: 5, and components B and D in a ratio of 4: 3. In what proportion should the pharmacist mix the ointment?
- Transformation 26961
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current - Transformation 26951
The bell uses 8 V alternating voltage obtained from the 220 V mains. The secondary coil of the bell transformer has 60 turns. How many turns must the primary coil have? What is the transformation ratio? - Coils of transformer
The transformer's primary coil has 1100 turns and is connected to a voltage of 220V. How many turns does the secondary coil have when the voltage is 55 V? Find the transformation ratio and decide what kind of transformation. - Coils of transformer
What voltage is generated on the secondary coil of the transformer, which has 1500 turns, if the primary coil is connected to a voltage of 120 V and has 500 turns? What is the transformation ratio, and what kind is the transformation? - Coils of transformer
The primary coil of the transformer has 400 turns. A current of 1.5 A passes through it and is connected to a voltage of 220 V. For the secondary coil, find the voltage, current, and a number of turns if the transformation ratio k = 0.1.
- Transformer
Transformer - U1 = 230 V, N1 = 300, N2 = 1,200, I1 = 4 A. Calculate the transformation ratio, voltage and current in the secondary coil. - Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio. - The plan
The plan of the housing estate is on three scales 1:5000,1:10000,1:15000. The distance between two points on a plan with a scale of 1:10000 is 12 cm. What is this distance on the other two plans? What is this distance? - Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice? - Divide in ratio
Line segment AB is 12 cm long divided in a ratio of 5:3. How long are the individual parts?
- Save trees
Twenty-five tons of old paper will save 1,600 trees. How many tons of paper are needed to save the 32 trees in the park? - Similarity 26441
How long a shadow casts a building 15 m high if the shadow of a meter rod is 90 cm? Sketch - similarity. - The tower
The observer sees the tower's base 96 meters high at a depth of 30 degrees and 10 minutes and the top of the tower at a depth of 20 degrees and 50 minutes. How high is the observer above the horizontal plane on which the tower stands? - Advertising 26331
The can of juice is 15 cm high. For advertising purposes, they made a model that can enlarge in a ratio of 5:3. How tall is the advertising? - Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how many% less the area of the rectangle has decreased.
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