Basic functions - math word problems

  1. Diagonals at right angle
    image22 In the trapezoid ABCD this is given: AB=12cm CD=4cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD?
  2. Ratio of sides
    trojuholnik_5 The triangle has a circumference of 21 cm and the length of its sides is in a ratio of 6: 5: 3. Find the length of the longest side of the triangle in cm.
  3. Percentages
    money_14 What is 1/3 of $821.43?
  4. Shadow of tree
    stromcek_3 Miro stands under a tree and watching its shadow and shadow of the tree. Miro is 180 cm tall and its shade is 1.5 m long. The shadow of the tree is three times as long as Miro's shadow. How tall is the tree in meters?
  5. Prove
    two_circles_1 Prove that k1 and k2 is the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x2+y2+2x+4y+1=0 k2: x2+y2-8x+6y+9=0
  6. Display case
    vitrinka Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height? The display case is a rectangular triangle with 2 m and 2.5 m legs.
  7. Farmland
    polno Farmers seeded maize to 45 ha, which is 15% of their total farmland. How many hectares of fields they have?
  8. Thales
    tales Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm as shown. Calculate the depth of the hole.
  9. Equation with x
    eq2_3 Solve the following equation: 2x- (8x + 1) - (x + 2) / 5 = 9
  10. Dice
    dices2_4 We throw five times the dice. What is the probability that six fits exactly twice?
  11. Two brothers
    mapa_ta3_3 The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m2 in a ratio of 5:4. How many will everyone get?
  12. Ratio
    cone1 The radii of two cones are in the ratio 5.7 Calculate the area ratio if cones have same height.
  13. Three friends
    gulky_9 Three friends had balls in ratio 2: 7: 4 at the start of the game. Could they have the same number of balls at the end of the game? Write 0, if not, or write the minimum number of balls they had together.
  14. Shade
    box3 Shade the area on the grid that shows 5/8 x 2/4
  15. Five mechanics
    car_37 Five mechanics will make a car for some time. How many cars can 30 mechanics produce at the same time?
  16. Solutions, mixtures
    roztoky_9 How many liters of 70% solution we must add to 5 liters of 30% solution to give us a 60% solution?
  17. Cents no more
    cent Janko bought pencils for 35 cents each. Neither he nor the salesperson had small coins just a whole € 1 coin. At least how many pencils had to buy to pay for the whole euros?
  18. Book reading
    books_30 If we read the book at a speed of 15 pages a day, we read it 3 days before we read it at a speed of 10 pages per day. If I read at 6 pages per day, how many days will I read the book?
  19. Ounce
    energy_1 749 calories in a 7 - ounce serving . What is the unit rate?
  20. Image reduction
    picture2 To say that I am mathematically challenged is a gross understatement! I'm trying to help my friend determine how to calculate percentages of reduction or enlargement for a quilt pattern. She is creating a drawing of a cute picture which will become a pie

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