Square root - 9th grade (14y) - examples
Trunk diameter is 72 cm. Is it possible to inscribe a square prism with side 54 cm?
Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.
- Cube diagonal
Determine length of the cube diagonal with edge 55 dm.
- Circle chord
What is the length d of the chord circle of diameter 58 mm, if distance from the center circle is 24 mm?
- Area of RT
Calculate the area of a right triangle which hypotenuse has length 20 and one hypotenuse segment has lenght 15.
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=23 and height v=8?
Once upon a time, tsar owned a money printer and printed and printed. The result of printing money prices went up,in the first year 5.9 %, in the second 2.4%, in the third 5.9% and in the fourth 5.7%. Then tsar was failed in election. Calculate the av
- Triangle ABC
Right triangle ABC with right angle at the C, |BC|=20, |AB|=35. Calculate the height of the triangle hAB to the side AB.
Use law of square roots roots: ?
Calculate the perimeter and area of rhombus whose diagonals are 15 cm and 27 cm long.
Area of square garden is 6/7 of triangle garden with sides 96 m, 60 m and 60 m. How many meters of fencing need to fence a square garden?
- Quadratic equation
Solve quadratic equation: x2+16x-225=0
- Oil rig
Oil drilling rig is 23 meters height and fix the ropes which ends are 8 meters away from the foot of the tower. How long are these ropes?
The areas of the two circles are in the ratio 1:15. The larger circle has diameter 25. Calculate the radius of the smaller circle.
- Rhombus ABCD
Rhombus ABCD, |AC| = 42 cm, |BD| = 96 cm. Calculate the perimeter of the rhombus ABCD.
- Sand pile
Auto sprinkled with sand to approximately conical shape. Workers wanted to determine the volume (amount of sand) and therefore measure the circumference of the base and the length of both sides of the cone (over the top). What is the volume of the sand c
Calculate the length of the arm r of isosceles triangle ABC, with base |AB| = 16 cm and a height v=10 cm.
In the center of the cube with edge 15 cm we will drill cylinder shape hole. Volume of the hole must be 28% of the cube. What drill diameter should be chosen?
If ?, then n is:
From the crossing of two perpendicular roads started two cyclists (each at different road). One runs at average speed 18 km/h, the second at average speed 24 km/h. Determine the distance between them after 30 minutes cycling.