Line - math word problems - page 10 of 30
Number of problems found: 600
- 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 - Line - normal form
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal equation of line: Ax + By = C - People lineup probability
A group of n people, including John and Frank, randomly line up. What probability will there be exactly r people (r - 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. - Map trip length
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. - Triangle construction procedure
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 - Railway arc length
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. - Triangle parallelogram construction
Construct triangle ABC if c = 5 cm, b = 7 cm and a = 4 cm. Then create a parallelogram axially symmetric with the line AC. Measure the size of the second diagonal of this quadrilateral. - Approximation of tangent fx
What is the nontrigonometric formula (not a polynomial fit) for the growth curve that solves algebraically for the increase between tan(1 degree) and tan(2 degrees) continuing up to the tangent(45 degrees)? Okay, to use pi Check calculation for 12°. - Railways 3
Railway Corporation wants to purchase a new machine for $360,000. Management predicts that the machine can produce sales of $220,000 yearly for the next five years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc - Points OPQ
Point P is on line segment OQ. Given OP = 6, OQ = 4x - 3, and PQ = 3x, find the numerical length of OQ.
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