Maths practice for 14 year olds - page 117 of 369
Number of problems found: 7368
- Center of gravity and median
In the isosceles triangle ABC, the center of gravity T is 2 cm from the base AB. The median parallel to the AB side measures 4 cm. What is the area of the ABC triangle? - Dynamometer
What is the volume of a body that stretches a dynamometer in air, on which a force of 2.5 N suspends it, and if it is immersed in alcohol with a density of 800 kg/m³, does it tension the dynamometer with a force of 1.3 N? - Intersection 49623
Where is the intersection of the function y = -3x + 5 with the coordinate axes x and y? (where they are on the x-axis and y-axis) - The profit
The profit made by a business in 2018 was triple that made in 2019. The profit in 2020 was R 3 million less than the profit in 2019. If the total profit in these three years was R 67 million, what was the profit made in 2020? - Draw SSA triangle
Draw a triangle ABC if you know: alpha = 60° side b = 4 cm side a = 10 cm - MIT 1869
You know the length of parts 9 and 16 of the hypotenuse, at which a right triangle's hypotenuse is divided by a height. The task is to find the lengths of the sides of the triangle and the length of line x. This assignment was part of the Massachusetts In - Smartphones 49533
The factory produced 2,420 pieces of smartphones in February. How many smartphones did they make in weeks 1 and 2, when they increased production by 20% in weeks 3 and 4? - Sean Junkins
Sean Junkins works at X-Mobile. His pay is easily calculated using the expression 12h+8c, where h is the number of hours he works and c represents the number of phones he sells. Would Sean Junkins make more money if he worked 37 hours and sold three cell - Intersection of functions
Draw a graph of the function given by the equation y = -2x +3, find its intersections with the coordinate axes, and complete the unknown coordinates A [3;? ], B [?; 8]. - Parallelogram - two sides
The parallelogram has the sides a = 25.3 b = 13.8, and the angle closed by the sides is a = 72°. Calculate the area of the parallelogram. - Chess pieces
The box contains five black chess pieces. How many white pieces should we add to it so that the probability of pulling out a black piece is 1:4? - Lead melt
Find the heat needed to melt an object made of lead weighing 250g and an initial temperature of 35°C. Lead melts at 327°C at normal pressure. Mass heat capacity of lead c = 129 J/kg • K and mass latent heat of lead lt (t is the subscript) = 22.6 kJ/kg. - Probability 49331
There are 1 to 20 start numbers in the draw. What is the probability that the first downhill raffle will draw a start number less than 6? - Right key
The hostel has 4 rooms. The keys to each room are not numbered. Each of the four guests took one key. What is the probability that everyone took the right key? - Probability 49301
Eva and 199 other students took part in job interviews at the Dream School, which accepts only the 120 most successful students. What is the probability of its acceptance? - The pool
There is 210 l of water in the pool. If you know that the pool is 30% full, calculate how many liters of water will fit into it. - The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house? - Above water surface
If we remove the stone from the water, we apply a force of 120N. How much force will we exert if we move the stone above the water? The stone's density is 5000 kg/m³. - Three towns and roads
If there are three roads from town A to town B And four roads from town B to town C, how many ways can one go from town A to town C and back to town A, through town B, without passing through the same road twice? - What power
What power should the radiator have in a room 5x4 meters with a height of 3 meters? Hint: Calculate 35 watts per meter³ when you need 22 degrees in the room, but you need about 24 degrees in the bathroom. It's an old heating cheat, but it will help you.
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