Equation + real numbers - practice problems - last page
Number of problems found: 38
- Rectangle
In rectangle ABCD with sides, |AB|=19, |AD|=16 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio (|PB|)/(|DP|). - Circle
From the equation of a circle: -x² -y² +16x -4y -59 = 0 Calculate the coordinates of the center of the circle S[x0, y0] and the radius of the circle r. - Right Δ
A right triangle has the length of one leg 72 cm and the hypotenuse 90 cm size. Calculate the height of the triangle. - Hypotenuse and height
In a right triangle is length of the hypotenuse c = 56 cm and height hc = 4 cm. Determine the length of both triangle legs.
- Euclid1
The right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c? - Resistors
Two parallel resistors connected in series give the resulting resistance $R1Ω and $R2Ω. Determine the resistance of these resistors. - Server
Calculate how many average minutes the web server is unavailable a year if the availability is 99.9%. - Crystal
The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately?
- Factors
Can the expression 4x ² -47.6x +39.6 be factored into rational factors? - Equation
Equation f(x) = 0 has roots x1 = 64, x2 = 100, x3 = 25, x4 = 49. How many roots have equation f(x²) = 0? - Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump? - Biquadratic
By introducing a new variable, solve the biquadratic equation: - x 4 +277 x² -15876=0 - Quadratic equation
Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation: -3x ² + b x + c = 0
- Rectangle SS
The perimeter of a rectangle is 268 cm, and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - Exponential equation
Solve exponential equation (in real numbers): 23x-6=9 - Logarithmic equation
Solve equation: log13(7x + 12) = 0 - When will I be a millionaire?
Barry monthly send 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months must Barry save to save 1000000 euros? Inflation, interest rate changes, or bank failures are ignored.
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