Grade - math word problems - page 129 of 942
Number of problems found: 18839
- Original model
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge?
- Apprentice 83169
The master gave the apprentice the task of dividing the 28 m long electric cable into two parts so that the second part was 2.5 times larger than the first. How long were the cable sections supposed to be?
- Afternoon 83168
In the morning, 6 liters more water was in the green canister than in the blue one. In the afternoon, the gardener poured 1 liter of water from the green canister into the blue one. There was then twice as much water in the green canister as in the blue o
- Successful 83167
Eighth-grade test results: 8D =? 8B = 47 8A = 44 8E = 37 8C = 28 Class 8A achieved exactly the average result. How many points did the winning class 8D get? By what % is class 8B more successful than class 8C?
- Increased number
A farmer has 250 cows. One cow has 5m² in the cowshed. When their number increases by 26, how much m² will the space for one cow decrease?
- Enlarges 83161
Enlarges the number 148 in a ratio of 13:4
- Calculate 83160
Calculate the distance of point A[ 4; 2; -3 ] from the plane : 2x - 2y + z + 5 = 0
- Overhangs 83158
The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b.
- Isosceles triangle and cosine
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
- Construct 83156
Construct 2 circles so that their centers are 5 cm apart and: and they had no common touch b- they had a common point They had 2 points in common.
- Hypotenuses 83154
In a right-angled triangle ABC with a right angle at the vertex C, the magnitudes of the hypotenuses are given ta=5, tb=2√10. Calculate the side sizes of triangle ABC and the circle's radius described by this triangle.
- Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
- Cabinet 83151
We have space in the office for a 60 cm wide cabinet. Can we buy a cabinet with a 180 cm height and a front wall area of 126 dm²?
- Sides ratio and angles
In triangle ABC, you know the ratio of side lengths a:b:c=3:4:6. Calculate the angle sizes of triangle ABC.
- Students 83149
There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one?
- Braking 83146
A car of mass m=1t moves at a speed v0=54 km/h. What braking force must be exerted to bring the car to a stop in 10 seconds, and how far will the car travel in this time?
- Equilateral triangle v2
Calculate the side of an equilateral triangle if its perimeter is 132 cm.
- Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise?
- Rectangle 83142
How many different plots of land in the shape of a rectangle with length and sides in whole meters can we fence if we have 49 m of mesh available?
- Basketball 83137
In the basketball game, the players threw 37 times, including 2-pointers and 3-pointers, for a total of 82 points. How many were 2 points, and how many were 3 points?
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