See harmonics
It is true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. Central segment crosses the intersection of the diagonals and is parallel to the bases.
Result
Result
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Showing 0 comments:

Be the first to comment!
To solve this example are needed these knowledge from mathematics:
Next similar examples:
- Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
- Seats
Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
- Sequence
Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
- Harmonic and arithmetic means
The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff: Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20 Calculat
- Trapezoid IV
In a trapezoid ABCD (AB||CD) is |AB| = 15cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD?
- Roof
Tiles are stacked in rows on the trapezoidal shaped roof. At the ridge is 15 tiles and each subsequent row has one more tile than in the previous row. How many tiled is covered roof if lowermost row has 37 tiles?
- Theorem prove
We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
- N-gon
How many diagonals has convex 14-gon?
- Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
- Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
- Calculation
How much is sum of square root of six and the square root of 225?
- Discriminant
Determine the discriminant of the equation: ?
- AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
- Sequence 3
Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
- Linsys2
Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
- The confectionery
The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
- Fish tank
A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?