Isolating a variable in the formula - math word problems - page 62 of 64
Number of problems found: 1262
- BMI index
Calculate BMI (body mass index, an index indicating obesity, overweight, normal weight, underweight) man weighing m = 85 kg and height h = 152 cm. The index is calculated according to the equation (formula): BMI = (m)/(h²) With the BMI index, it is possib
- Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down? His mother weighs 57 kg if she wants to be swung in balance.
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4, and the area of Lateral Surface Area (LSA) is 24 dm².
- Isosceles trapezoid v3
In an isosceles trapezoid ABCD is the size of the angle β = 123° Determine size of angles α, γ and δ.
- Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb).
- RT and ratio
A right triangle whose legs are in a ratio 6:12 has a hypotenuse 68 m long. How long are its legs?
- Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
- Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What pumping velocity would you have ha
- ISO triangle
Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has a perimeter 377 mm.
- ISO trapezoid v2
The bases of the isosceles trapezoid are measured 20 cm and 4 cm, and their perimeter is 55 cm. What is the area of a trapezoid?
- One and a half chicken
One and a half chicken bears one and a half eggs in one and a half days. How many eggs can withstand from 9 chicken in 9 days?
- Gold coin
The gold coin contains 966 permille pure gold, which is 8.7 g. What is the weight of the coin in grams?
- Crystal water
The chemist wanted to check the water content of the crystallization of chromic potassium alum K2SO4 * Cr2 (SO4) 3 * 24 H2O, which took a long time in the laboratory. From 96.8 g of K2SO
- Garden
Father dug up the garden in 19 few hours. Son in 23 hours. How many hours does it take to dig up the garden together?
- RT 11
Calculate the area of the right triangle if its perimeter is p = 45 m and one cathetus is 20 m long.
- Liters in cylinder
Determine the height at which level 18 liters of water in a cylindrical container having a bottom diameter 24 cm.
- Flowerbed 2
Around the square flower bed in a park is a sidewalk about 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed?
- Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
- Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1354 cm³ and a base radii r1 = 9.1 cm and r2 = 5.4 cm.
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