Grade - examples - page 65

  1. Rhombus IV
    image005 Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm.
  2. Chord - TS
    chord_TS The radius of circle k measures 68 cm. Arc GH = 47 cm. What is TS?
  3. The hall
    lucerna The hall had a rectangular ground plan one dimension 20 m longer than the other. After rebuilding the length of the hall declined by 5 m and the width has increased by 10 m. Floor area increased by 300 m2. What were the original dimensions of the hall?
  4. Rotary cylinder
    Povrchy_a_objemy_telies The rotating cylinder has a surface area 69.08 cm2. The area of the shell is 62.8 cm 2. What is the diameter of the cylinder?
  5. Variations 3rd class
    cubic From how many elements we can create 13,800 variations 3rd class without repeating?
  6. Rectangle - sides
    colored_squares What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?
  7. Raffle
    tombola_tickets In the pool is numbers from 1 to 115. What is the probability that a randomly selected number is not a prime number?
  8. 3-bracket 2
    1triangle May be the smallest angle in the triangle greater than 40°?
  9. Copiers
    copy The new copier copying a folder of papers 5 min. faster than the old. The operator used new, but out of toner and exchange took 5 min. In that time copied on the old. The whole work has been done for 9 min. How long would the work done only by old copier?
  10. Tachometer
    tatra-dakar2 Tatra's tachometer shows the initial state 886123 km this morning. Tatra today travel at an average speed of 44 km/h. Determine the function that describes the Tatra's tachometer depending on the time. What is the state of tachometer after 4 hours?
  11. Derivation
    fx Exists a function whose derivation is the same function?
  12. Simple interest
    bank Peter put into bank 790 euros deposit. After 2 years on account overall was 974 euro. What was the interest rate if bank add simple interest?
  13. Tractors
    zetor Uncle is going buy tractor Zetor super 50. The first costs 81000 Eur, the second costs 98000 Eur. How much pay uncle for both tractors?
  14. Eight blocks
    cuboids Dana had the task to save the eight blocks of these rules: 1. Between two red cubes must be a different color. 2. Between two blue must be two different colors. 3. Between two green must be three different colors. 4. Between two yellow blocks must be four
  15. Arc
    angles Convert to arc measures (radians): 924 ° Result write as a multiple of π
  16. Square and circle
    circle_square Into square is inscribed circle with diameter 10 cm.What is difference between circumference square and circle?
  17. Line
    line_points How many parts of line divide 5 (different) points that lie on it?
  18. Alloy
    hlinik_slitina The first alloy is a mixture of two metals in the ratio 1:2, the second is a mixture of same metals in the ratio 2:3. At what ratio we have these two alloys put into the furnace to obtain a new metal alloy with ratio 17:27? (All three ratios correspond to.
  19. Two workers
    safarik_stu Two workers make 138 parts/items. The first one produces 30% more than the second. How many items will each produce?
  20. Logarithmic equation
    nat_log_ln Solve equation: log33(3x + 21) = 0

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