Line - practice problems - page 9 of 28
Number of problems found: 560
- 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
- Peter's rectangle
Peter had a rectangle 2 cm wide and of unknown length. The line had a 2 cm rectangle whose length was equal to the perimeter of Peter's rectangle. When they put the rectangles together with their widths, they got a new rectangle with a circumference of 63
- Direct proportion
y varies directly as x and y=32 when x=4. Find the constant of variation.
- Linear temp change
The temperature in Inuvik, Northwest Territories, increased at the same rate from -22°C at 9:00 AM to -8°C at 4:00 PM one day. What was the temperature at 2:00 PM?
- Number line
Visualize and color the following decimal numbers using a grid. 1. 0.35 2. 1.9 3. 0.45 4. 1.15 5. 0.8
- What is 19
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal line equation: Ax + By = C
- Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r
- Calculate 58953
Calculate the area of a circular line if the radius r = 80 cm and the central angle is α = 110 °.
- 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.
- Tourist 57513
The tourist map has a scale of 1:40 000. Find the actual length of the trip, which is marked on the map by a 7 cm long line.
- Two midpoints
Point A is on a number line halfway between -17 and 5. Point B is halfway between points A and 0. What integer does Point B represent?
- The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. How long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of satellit
- Trisection of a line segment
Divide the line segment AB into three equal parts. Instructions: Construct an equilateral triangle ABC and find its center (e.g., the described circles).
- RS ABS
Find the distance between points R and S on a number line, with coordinates -4 and -7, respectively.
- The castle
The map shows the castle moat by a line 2 cm long. The moat is 500 meters long. Find the scale of the map.
- Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure.
- Touch circle
Point A has a distance (A, k) = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l
- 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
- Determine 54881
On the tourist map with a scale of 1:50000, the section of the railway line between Bobrová Lhota and Javořiště is replaced by an arc of a circle with a radius of 6 cm. The arc is 90°. Determine the actual length of the track between the two villages.
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