Triangle practice problems - page 57 of 126
Number of problems found: 2502
- A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap - Radio radius
Two friends have shortwave radios with a range of 13 km. The first of them travels by train at a speed of 48 km per hour along a straight section of track, from which the second of the friends is 5 km away. How long will radio friends be allowed for both - Board triangle ratio
From a rectangular board with 2 m and 3 m dimensions, we cut isosceles and right-angled triangles at the corners with an overhang of 40 cm. Calculate the ratio of the rest of the board's areas to its total original area. - Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Carpet
The room is 10 x 5 meters. You have the role of carpet width of 1 meter. Make a rectangular cut of a roll. That piece of carpet will be the longest possible and will fit into the room. How long is a piece of carpet? Note: The carpet will not be parallel w - Goat
The meadow is a circle with a radius r = 20 m. How long must a rope tie a goat to the pin on the meadow's perimeter to allow the goat to eat half of the meadow? - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Bearing - navigation
A ship travels 84 km on a bearing of 17° and then travels on a bearing of 107° for 135 km. Find the distance of the end of the trip from the starting point to the nearest kilometer. - Wheel gear
A drive wheel of radius two is connected to a drive wheel of radius one by a pulley of length 17. What is the distance between the wheel axles? - Journey
Charles and Eva stand in front of his house. Charles went to school south at a speed of 5.4 km/h, and Eva went to the store on a bicycle eastwards at 21.6 km/h. How far apart are they after 10 minutes? - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - Joanne
Joanne and Roger are planting a rectangular garden. The garden is 8 1/2 ft by 13 ft. They want to use half of the garden for cucumbers and half for tomatoes. They decide to separate the garden into two right triangles. What is the area of the tomato part - Rectangular field
A rectangular field has a diagonal length of 169m. If the length and width are in the ratio of 12:5. Find the field's dimensions, the field's perimeter, and the field's area. - Sun rays
If the sun's rays are at an angle of 60°, then the famous Great Pyramid of Egypt (which is now 137.3 meters high) has a 79.3 m long shadow. Calculate the current height of the neighboring Chephren pyramid, whose shadow is measured at the same time at 78.8 - Resident distance speed
Two of its inhabitants stand at one point in the land of two-dimensional beings. Suddenly, they both start running at the same moment. Resident A runs north at 5m/s, and resident B runs east at 12m/s. Calculate how fast they are moving away from each othe - Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy? - Hot air balloon
The center of the balloon is at an altitude of 600 m above the ground (AGL). The observer on earth sees the center of the balloon at an elevation angle of 38°20'. The balloon is seen from the perspective of an angle of 1°16'. Calculate the diameter of the - Triangle sides
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm.
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