Physical quantity - math word problems - page 168 of 318
A physical quantity is a term numerically describing a property or state of a physical object. For example, a physical quantity is a length, and its corresponding physical unit is a meter (symbol m). Similarly, the quantity is weight, and the unit is the kilogram (kg). Physical quantities can be divided into a scalar (has magnitude), vector (has magnitude and direction), and tensor (has magnitude and multiple directions).Number of problems found: 6349
- Percentage 67494
A circle with the maximum area was made of a square plate with side a = 85 cm. What percentage of the board is wasted? - Rectangle 62854
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - Percentage 17613
At a horizontal distance of 800 m, the ski slope drops to 220 m above sea level. Determine the percentage decrease. - Figure
Figure A is a scale image of Figure B, as shown. (figure a is 6 inches, and figure b is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the dimensions of rectangles A and B. - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - Field on plan
The plan has a scale of 1: 2500. Determine dimensions in centimeters of the plan if the field has a length of 310 meters and 182.5 meters. - 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 - Three points
Three points K (-3; 2), L (-1; 4), M (3, -4) are given. Find out: (a) whether the triangle KLM is right b) calculate the length of the line to the k side c) write the coordinates of the vector LM d) write the directional form of the KM side e) write the d
- Faucets
A large tank is partially filled with a solution. The tank has a faucet that allows the solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 19 4/5 liters per m - Total displacement
Calculate the total displacement of the 12-cylinder engine with the diameter of the piston bore B = 8.9 cm and stroke S=1.9 cm of the piston. Help: the crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and b - Hypotenuse 80461
The ratios of the sides of a right triangle are 3: 4: 5. How long is the hypotenuse if the entire perimeter of the triangle is 48 cm? - Quadrilateral 82395
The points ABC lie on the circle k(S, r) such that the angle at B is obtuse. How large must the angle at vertex B of quadrilateral SCBA be so that this angle is three times greater than the interior angle ASC of the same quadrilateral? - Thomas
Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m, and Samko from Robo 500. Anton lives 300 meters away from Robo, further than Samko. How far away lives Anton from Rob?
- Tree shadow 3
A 2-meter rod casts a shadow 3.2 m long. How high is a tree with a shadow of 14.4 m? - Photo enlarge
Mark wants to enlarge a 4-inch by 6-inch photo to have a height of 15inches. Use a ratio table to determine the new width of the photo. - Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°? - Interior angles
In a quadrilateral ABCD, whose vertices lie on some circle, the angle at vertex A is 58 degrees, and the angle at vertex B is 134 degrees. Calculate the sizes of the remaining interior angles. - The chord
A chord passing through its center is the side of the triangle inscribed in a circle. What size are the internal angles of a triangle if one of them is 40°?
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