Ratio + line - practice problems - page 2 of 4
Number of problems found: 80
- Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - Enlarge 66284
We will enlarge the line 8 cm long in the ratio of 7:4. How long in cm will the new line be? - Individual 64124
The line is divided into two parts in a ratio of 4:7. The difference in lengths of individual parts is 18 cm. What is the length of the line in cm? - Pentagon
The signboard has the shape of a pentagon ABCDE, in which line BC is perpendicular to line AB, and EA is perpendicular to line AB. Point P is the heel of the vertical starting from point D on line AB. | AP | = | PB |, | BC | = | EA | = 6dm, | PD | = 8.4dm
- Two places
The actual distance between the two places is 105 km. Find the scale of the map on which this distance is marked by a line 1.2 dm long. - Straight-line depreciation
Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand, and Olsen can sell all it can manufacture for the next ten years. To encourage capital investments, the government exempts taxes on - Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati - MIT 1869
You know the length of hypotenuse parts 9 and 16, at which the hypotenuse of a right triangle 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 Inst - Two cables
On a flat plain, two columns are erected vertically upwards. One is 7 m high, and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag.
- Carla 2
Carla is renting a canoe. It costs $80 for 2 hours and $110 for 4 hours. What is the rate of change for this situation? - Calculate 39031
In the triangle ABC, the line tb = | is given BB1 | Calculate the length of this line if B1T | = 3cm. - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Line segment
Line segment AB is 8 cm long. Divide it by a ratio of 2:3. - Three roads
The three boys moved from start to finish on three different routes, A, B, and C, always simultaneously. Adam drove road A 1500 m long on a scooter. Blake walked route B 600 m long on foot. Cyril got on a scooter on route C after a 90 m walk, then he left
- Reduction 33021
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9. - Proportion 32223
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm - A cliff
A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high. It meets the ground at a point 8 ft from the base of the pole. The point is 93 ft from the base of the cliff. How high is the cliff? - Two villages
Two villages are 11 km and 500 m away. The map determines their distance by a 5 cm long line. Find the scale of the map. - Change 29601
Change of line MN, MN = 4.7 cm in the ratio 5:3.
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