# Equation + real numbers - practice problems

#### Number of problems found: 35

- Deposit and saving

How long will the deposit of € 2,000 increase at an interest rate of 4.6% p. a. at 2500 €? (Ideally, calculate without logarithms) - Domains of functions

F(x)=x^{2}-7x and g(x)=5-x² Domain of (fg)(x) is. .. . . The domain of (f/g)(x). .. - Calculate 5274

Calculate the second sum if you know that one sum is -124.6 and the resulting sum is (-200). - Real estate

The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Equation: 3726

Determine the real root of the equation: x^-3: x^-8 = 32 - Equation with abs value

How many solutions has the equation (|x| +x) |x-3| = |x+1| in the real numbers? - Observer

The observer sees a straight fence 100 m long in 30° view angle. From one end of the fence is 102 m. How far is it from another end of the fence? - Forestry workers

56 laborers have employed planted trees in the forest. For 8 hour work, a day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day? - Coordinate

Determine missing coordinate of the point M [x, 85] of the graph of the function f bv rule: y = 5^{x} - Circle

Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r² - Triangle ABC

Calculate the sides of triangle ABC with area 1404 cm², and if a: b: c = 12:7:18 - Quarter circular

The wire hooked around the perimeter of the quarter-circular arc has a length of 5π+20. Determine the radius of the circle arc. - Garden

The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Short cut

Imagine that you are going to a friend. That path has a length 120 meters. 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 direct across the field? - Spherical cap

From the sphere with a radius of 11 was a truncated spherical cap. Its height is 6. What part of the volume is a spherical cap from the whole sphere? - 2x cone

Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone. - 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|). - Medians

Calculate the sides of a right triangle if the length of the medians to the legs are t_{a}= 25 cm and t_{b}=30 cm. - Circle

From the equation of a circle: 2x² +2y² +20x -20y +68 = 0 Calculate the coordinates of the center of the circle S[x_{0}, y_{0}] and the radius of the circle r. - Right Δ

A right triangle has the length of one leg 80 cm and the hypotenuse 116 cm size. Calculate the height of the triangle.

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