Line - math word problems - page 12 of 28
Number of problems found: 560
- 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
- Acute triangle
In the acute triangle KLM, V is the intersection of its heights, and X is the heel of height to the side KL. The axis of the angle XVL is parallel to the side LM, and the angle MKL is 70°. What size are the KLM and KML angles?
- Perpendicular projection
Determine the distance of point B[1, -3] from the perpendicular projection of point A[3, -2] on a straight line 2 x + y + 1 = 0.
- Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations
- Nautical miles
How many nautical miles do they sail if the route is shown on a 1:25 000 scale map with a 7.4 cm long line?
- Place vector
Place the vector AB if A (3, -1), B (5,3) in point C (1,3) so that AB = CO.
- Reduction 33021
Draw the line AB = 14 cm and divide it by the reduction angle in the ratio of 2:9.
- Construction 32971
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles.
- Ascend vs. descent
Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2
- Represents 32931
Jeníček will go on vacation with his parents and go by boat for a certain part of the journey. He is interested in how many nautical miles they will sail if their route represents by a line 7.4 cm long on a 1:25,000 scale map. (1 nautical mile = 1,850 m)
- Proportion 32223
Compare line lengths by ratio and proportion. a) AB = 2 cm, | KL | = 8 cm (b) | EF | = 28 cm, | MN | = 21 cm
- Calculate 32011
Calculate the size of the BVC angle if the following applies to the size of the angles: AVB = 37 ° 48 minutes, CVD = 52 ° 30 minutes, AVD = 118 °
- Five circles
On the line segment CD = 6, there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE.
- 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?
- Fly and cyclist
Two cyclists are 20 km apart on the same line. They start at the same time as each other at a speed of 10 km/hr. A fly sitting on one of the cyclist's handles starts flying toward the other cyclists at a speed of 20 km/hr. It touches the handle and moves
- General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin
- The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1.
- Tangents to ellipse
Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1].
- 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.
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