Isolating a variable in the formula - math word problems - page 87 of 144

Number of problems found: 2878

Completing square
Solve the quadratic equation: m²=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 a depth angle of 30° 30 '. Calculate the length of the bridge.
Perimeter 7882
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond?
Difference 7873
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18
Described 7872
In the KLM isosceles triangle, the KL base is 24 cm long, and the arm measures 15 cm. What is the radius of the circle described by this triangle?
The painter
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 should he add? How many liters of mixed color does he get?
Hrebienok 7856
A tourist would cover the route from Skalnate Pleso to Hrebienok at a constant speed in 2 hours. His friend would walk the same route from Hrebienk to Skalnaté Pleso in 3 hours. When will they meet if they both go hiking at 9:00?
Calculate 7854
The surface of the cube is 61.44 cm². Calculate its volume.
Greg and Bill
Greg is 18 years old. He is six, less than four times Bill's age. How old is Bill?
Numbers 7841
In the middle between the unknown number and the number 166 is the number a) 164, b) 200, c) 500 d) 1356 What are the unknown numbers?
Smaller 7840
Which number is 2a-b smaller than a + 2b?
Younger 7832
Dad is r years old, and Mom is two years younger. The son is 20 years younger than the father. How old are they?
Cube surface and volume
The surface of the cube is 500 cm². How much cm³ will its volume be?
Circumference 7823
The bases are 9 cm and 5 cm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate its circumference and area.
Centimeter 7821
What should a sweet tooth choose if he wants more chocolate: a package containing 200 pieces of solid chocolate balls with a diameter of 1 centimeter or a hollow ball with an outer diameter of 10 cm made of 5 mm thick chocolate?
Pyramid-shaped 7820
The pyramid-shaped tent has a square base with a side size of 2.2m and a height of 1.8m. How many square meters of tent canvas are needed to make it if we count an extra five percent for the foundation?
The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste?
Quadrilateral 7815
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm.
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
Together 7810
One painter would paint a school by himself in 28 days. The second painter would paint the school by himself in 24 days. They also called a third painter because they needed to paint the school in 8 days. The three of them painted the school together in 8

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