Real numbers - practice problems - page 6 of 9
Number of problems found: 162
- An aquarium
An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank? - Number distant equally
Which number is also distant from the numbers 5.3 and 7.7 on the number line? - Scientific notation
Approximately 7.5x105 gallons of water flow over a waterfall each second. There are 8.6x104 seconds in 1 day. Select the approximate amount of water flowing over the waterfall in 1 day. - 2x cone
Circular cone height 36 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. - Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume: - 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) - Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Tinsmith
Tinsmith constructs chimney pipe 186 cm long and 16 cm wide. A pipe is made from the plate overlap at the joint and needs to add $x cm width of the plate. What dimensions of the sheet will have to be prepared for the construction? - Described
Calculate the perimeter of the circle described by a triangle with sides 82, 495, 438. - 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|). - Square 2
Points D[10,-8] and B[1,-10] are opposed vertices of the square ABCD. Calculate the area of the square ABCD. - 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 - 3N on the number axis
The line represents the number axis, and the marked points correspond to the numbers a, - a, and a + 1, but in no particular order. Construct the points that correspond to the numbers 0 and 1. Discuss all the possibilities. - Integer part system
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - 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. - Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve? - 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.
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