Isolating a variable in the formula - math word problems - page 48 of 144
Number of problems found: 2866
- Circumference 42471
The lengths of the sides of the triangle ABC are in the ratio 4:2:5. Calculate the size of the longest side of a similar KLM triangle, whose circumference is 66 cm. - Quadrilateral 42151
Calculations from geometry: The ratios of the sides of the quadrilateral are 3 : 6:4.5 : 3.5. Calculate their lengths if the circumference is 51 cm. The sizes of the angles in the quadrilateral are equal to 29°30', 133°10', and 165°20'. What is the size o - Cleaning 2
Maggie is looking to hire a carpet cleaning company. Cleaning Crew Inc. charges $24 for supplies and then $18 per room. If Maggie has $96 to spend on cleaning the carpets, how many rooms can she have cleaned? - Calculate 41881
The volume of the sphere is 803.84m³. Calculate its surface. - I need
I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm³. What is the formula for this? - Arithmetic progression 2
The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term. - Simultaneously 41451
Cities A and B are 36 km apart. A pedestrian leaves town A at a speed of 6 km/h to place B. A cyclist leaves town B simultaneously at a speed of 24 km/h to town A. In how many hours and at what distance will they meet? Write the result in minutes.
- A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle. - The body
The body slides down an inclined plane, forming an angle α = π / 4 = 45° under the action of a horizontal plane under the effect of friction forces with acceleration a = 2.4 m/s². At what angle β must the plane be inclined so that the body slides on it af - Darnell
Darnell is mountain climbing with Kirk and has just climbed a 9-meter vertical rock face. Kirk is standing at the bottom of the cliff, looking up at Darnell. If Kirk is 15 meters away from Darnell, how far away from the cliff is Kirk standing? - Surface 40621
The surface of the sphere is 535 m². What is its volume? - Barrel-shaped 40601
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
- Bivariate data set
Here is a bivariate data set in which you believe y to be the response variable. x y 51.4 44.8 60.2 46.6 60.1 46.8 45.8 46.3 37.4 41.8 72.4 52.5 60 48.2 67.5 49.5 60.9 49.8 51.1 45.7 62.7 49.6 194.9 84.2 Make a scatter plot of this data. Which point is an - Metal washers
Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. When two adjacent circles meet, calculate the material waste percentage if no material is lost. - Arithmetic 40431 Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11)
- Circumference 40401
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number. - The quotient 2
The quotient of the quantity k minus 10 and m.
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