Themes, topics - math word problems - page 114 of 167
Number of problems found: 3330
- Two chords
There is a given circle k (center S, radius r). From point A, which lies on circle k, are starting two chords of length r. What angle do chords make? Draw and measure. - __________ 6734
Draw a circle k (S, r = 2cm). Mark the three axes of symmetry of the circle defined by this circle. Each axis of symmetry of the circle passes through __________. - Two rectangles
I cut out two rectangles with 54 cm² and 90 cm². Their sides are expressed in whole centimeters. If I put these rectangles together, I get a rectangle with an area of 144 cm². What dimensions can this large rectangle have? Write all options. Explain your - Merchant 6730
A merchant sells a blend of tea. Kilogram for 450 CZK. Another species for 900 CZK. Cheaper for 369 CZK. How much tea must you buy per 5 kg of the mix? - Prove
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x²+y²+2x+4y+1=0 k2: x²+y²-8x+6y+9=0 - CuSO4 mixture
How many grams of solid CuSO4 do we have to add to 450g of 15% CuSO4 solution to produce a 25% solution? - Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.
- Intersections
Find the intersections of the function plot with coordinate axes: f (x): y = x + 3/5 - Electricity consumption
Calculate how much we will pay for 1 hour of consumed electrical energy if the seller sets a price of 0.126 euros for 1 kWh (all appliances together for 1 hour of work). Table: Appliance ; Power (W) Washing machine ; 2300 W Bulb ; 40W Refrigerator; 200W T - Performance
Two masons with the same performance would have been made of plaster for six days. One of them, however, has increased its daily performance by 50%. How long would it take them now to make plaster together? - Bulbs and electricity
In the sports hall, 875 identical light bulbs light for 2 hours. How long do 100 such light bulbs consume the same amount of electricity? - Two heights and a side
Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm, and height to side b: vb = 4 cm. - 40% volume 40% volume with 104 uph (units per labor hour) 8 people are working. What is the volume?
- Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Isosceles 6673
Isosceles triangle X'Y'Z' . It is similar to triangle XYZ. The base of triangle XYZ has length |XY|=4cm. The size of the angle at the X vertex is 45 degrees. Draw a triangle X'Y'Z' whose base is 8 cm long.
- Coefficient 6672
In the triangle ABC is [AB] = 20cm, [BC] = 10cm, A = 30 °. Construct a triangle A'B'C' similar to triangle ABC if the similarity coefficient is 0.5 - Connected 6668 There are three light bulbs connected in a row in the circuit. Which light bulb does the largest electric current pass through?
- Electricity 6667
A light bulb with power consumption P = 70 W. It is connected to a mains voltage of 230 V. How big is the electric current that flows through it? How much electricity in kWh will it use if it is on for 9 hours 30 minutes? - Resistance
A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate the voltage between the terminals of the resistor. - The bulb Calculate the voltage at the bulb's terminals; if the work 18 J is done to transfer particles with an electric charge of 6 C.
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