Isolating a variable in the formula - math word problems - page 108 of 144
Number of problems found: 2863
- Rectangular 5798
The pyramid has a rectangular base with dimensions a = 5cm, b = 6cm. The side edges are identical; their length is h = 11cm. Calculate the surface of the pyramid.
- Natural gas in kWh
Gas consumption for 2017 was 11,301 kWh I paid 532 € How much is 1 m³?
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm.
- Installed 5793
A group of fitters installed the cable line in 9 changes, and the second group completed the same task in 1/3 less time. How many shifts would the third group do the same work if, with all three groups working together, the assembly took 2 shifts?
- Calculate 5789
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm.
- Calculate 5770
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere
- Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
- Machine 5751
The washing machine became cheaper by 43.5 euros, which is 15% of the old price. What is the new price?
- Accompanying 5748
An accompanying vehicle set off behind the car with an oversized load moving at a speed of 16 km/h in 2.5 hours, which must reach it in 45 minutes. What speed does he have to go?
- Three-quarters 5746
Ondra found that three-quarters of a bag of washing powder was used up in their family in 12 weeks. How many more weeks will they last? How long does a whole bag of washing powder last?
- The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
- The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river?
- Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
- Two annuluses
The area of the annular circle formed by two circles with a common center is 100 cm². The radius of the outer circle is equal to twice the radius of the inner circle. Determine the outside circle radius in centimeters.
- Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm and CD = 4cm. Calculate the length of the AC diagonal.
- Orchard
One-eighth of the trees in the fruit plant in winter froze, and one-twelfth were damaged by disease and pests. Healthy trees remained 152. Is it enough to supply 35 trees to restore the original number of trees in the orchard?
- Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?
- Isosceles 5711
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter?
- Equation of circle 2
Find the equation of a circle that touches the axis of y at a distance of 4 from the origin and cuts off an intercept of length 6 on the axis x.
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