Real numbers - practice problems - page 7 of 9
Number of problems found: 161
- Cube in a sphere
The cube is inscribed in a sphere with a volume 8101 cm³. Determine the length of the edges of a cube.
- When will I be a millionaire?
Barry monthly sends 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months Barry must save to save 1000000 euros. Inflation, interest rate changes, or bank failures are ignored.
- Pool
If water flows into the pool through two inlets, it will fill for 5 hours. If the first inlet fills the pool 5 hour longer than the second, how long does it take to fill with two inlets separately?
- Sea
How far can you see from the ship's mast, whose peak is at 9 meters above sea level? (Earth's radius is 6370 km).
- Trigonometric functions
In the right triangle is: tg α= frac(4) 2 Find the value of s and k: sin α= (s)/(√ 20) cos α= (k)/(√ 20)
- Hole
We will drill the cylinder shape hole in the cube's center with an edge 16 cm. The volume of the hole must be 10% of the cube. What should drill diameter be chosen?
- Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
- Events
Event W has the probability of 0.57. What is the probability that the event W occurs in 2, 6, 5 try?
- Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD.
- Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=19 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio r = (|PB|)/(|DP|).
- Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm.
- The www server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9999%.
- Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm.
- Hypotenuse and height
In a right triangle is length of the hypotenuse c = 195 cm and height hc = 70 cm. Determine the length of both triangle legs.
- Euclid1
The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c?
- Short cut
Imagine that you are going to a friend. That path has a length of 120 meter. Then turn doprava and go other 630 meters, and you are at a friend's. The question is, how much will the journey be shorter if you go directly across the field?
- Gimli Glider
Aircraft Boeing 767 lose both engines at 35000 feet. The plane captain maintains optimum gliding conditions. Every minute, lose 2100 feet and maintain constant speed 201 knots. Calculate how long it takes for a plane to hit the ground from engine failure.
- Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface?
- Observer
The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 119 m. How far is it from the other end of the fence?
- Spherical cap
From the sphere with a radius of 26 was a truncated spherical cap. Its height is 2. What part of the volume is a spherical cap from the whole sphere?
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