# Square (second power, quadratic) + power - math problems

1. The tickets
The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
2. Substitution method
Solve goniometric equation: sin4 θ - 1/cos2 θ=cos2 θ - 2
3. Precious metals
In 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, an silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41.3
4. Cube surface and volume
Find the surface of the cube with a volume of 27 dm3.
5. Find the 2
Find the term independent of x in the expansion of (4x3+1/2x)8
6. Cube
One cube has edge increased 5 times. How many times will larger its surface area and volume?
7. Cube 6
Volume of the cube is 216 cm3, calculate its surface area.
8. Chord AB
What is the length of the chord AB if its distance from the center S of the circle k(S, 92 cm) is 10 cm?
9. Sale
If the product twice price cut by 25%, what percentage was price cut in total?
10. Rectangular cuboid
The rectangular cuboid has a surface area 5334 cm2, its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
11. Pool
If water flows into the pool by two inlets, fill the whole for 8 hours. The first inlet filled pool 6 hour longer than second. How long pool take to fill with two inlets separately?
12. Powers
Is true for any number a,b,c equality:? ?
13. Binomials
To binomial ? add a number to the resulting trinomial be square of binomial.
14. Widescreen monitor
Computer business hit by a wave of widescreen monitors and televisions. Calculate the area of ​​the LCD monitor with a diagonal size 20 inches at ratio 4:3 and then 16:9 aspect ratio. Is buying widescreen monitors with same diagonal more advantageous th
15. Circle chord
What is the length d of the chord circle of diameter 51 mm, if the distance from the center circle is 19 mm?
16. Triangle SAS
Calculate the area and perimeter of the triangle, if the two sides are 51 cm and 110 cm long and angle them clamped is 130 °.

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