# Expression of a variable from the formula - math word problems

- Completing square

Solve the quadratic equation: m^{2}=4m+20 using completing the square method - Balloon and bridge

From the balloon, which is 92 m above the bridge, one end of the bridge is seen at a depth angle of 37° and the second end at depth angle 30° 30 '. Calculate the length of the bridge. - The painter

In order for the painter to get the desired color, he must mix green and yellow in a ratio of 4: 7. If it has 28 l of green color, how many liters of yellow color should he add? How many liters of mixed color does he get? - Greg and Bill

Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill? - Cube surface and volume

The surface of the cube is 500 cm^{2}, how much cm^{3}will be its volume? - Unknown mixed number

Find the number that is smaller than 5 5/12 by as much as 2 2/13 is smaller than 6 1/6 - The observatory

The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal needs to be covered to cover it, and 15 percent must be added to the minimum amount due to joints and waste? - Calculate 3

Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Simplify

Simplify expression - which expression is equivalent to: 3(m + 2) − 4(2m − 9) - Isosceles triangle

In an isosceles triangle, the length of the arm and the length of the base are in ration 3 to 5. What is the length of the arm? - Which

Which decimals when subtracted equal 3.89: a - b = 3.89 - Rectangular plot

The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the perimeter of the plot is 36m. Find the area of the diagonal of the plot. - Rectangular triangle

The lengths of the rectangular triangle sides with a longer leg 12 cm form an arithmetic sequence. What is the area of the triangle? - Rectangular field

A rectangular field has a diagonal of length 169m. If the length and width are in the ratio 12:5. Find the dimensions of the field, the perimeter of the field and the area of the field. - Children playground

The playground has the shape of a trapezoid, the parallel sides have a length of 36 m and 21 m, the remaining two sides are 14 m long and 16 m long. Determine the size of the inner trapezoid angles. - Sum of four numbers

The sum of four consecutive natural numbers is 114. Find them. - Area to perimeter

Calculate circle circumference if its area is 254.34cm2 - Sales off

The price has decreased by 20%. How many percents do I have to raise the new price to be the same as before the cut? - Bottle

A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the hight of the cylinder must be 5 times the radius. - Two cyclists 2

At the same time, two cyclists left the towns A and B at constant speeds. The first one going from town A to town B, and the second one from town B to town A. At one point of the trip they met. After they met, the first cyclist arrived at town B in 36min,

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