# Examples for 9th grade - page 82

- Rhombus MATH

Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Trees

Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples? - Diagonals

Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus. - Forces on earth directions

A force of 60 N [North] and 80 N [East] is exerted on an object wigth 10 kg. What is the acceleration of the object? - Two lands

The common area of the two neighboring lands is 964 m^{2.}The second land is 77 m^{2}smaller than twice the size of the first land. Find the areas of each land. - Years

Susan is 3 years and as she will be old as Teodor now him will be 11. How old is Teodor today? - Trapezium ABCD

In the figure, ABDC is a trapezium in which AB || CD. line segments RN and LM are drawn parallel to AB such that AJ=JK=KP. If AB=0.5m and AP=BQ=1.8m, find the lengths of AC, BD, RN and LM. angle D=angle C=60 - Q of GP

Calculate quotient of geometric progression if a1=5 a a1+a2=12. - Cancer

Of the 80 people 50 people ill cancer. What percentage of people isn't ill? - Sum of members

What is the sum of the first two members of the aritmetic progression if d = -4.3 and a3 = 7.5? - Shots

Determine the percentage rate of keeper interventions if from 32 shots doesn't caught four shots. - Hexagon area

The center of the regular hexagon is 21 cm away from its side. Calculate the hexagon side and its area. - Coefficient

Determine the coefficient of this sequence: 7.2; 2.4; 0.8 - Conical area

A right angled triangle has sides a=12 and b=19 in right angle. The hypotenuse is c. If the triangle rotates on the c side as axis, find the volume and surface area of conical area created by this rotation. - Chord

It is given to a circle k(r=6 cm) and the points A, B such that / AB / = 8 cm lies on k. Calculate the distance of the center of circle S to the midpoint C of the segment AB. - Frameworks is bad

Calculate how many percent will increase the length of an HTML document, if any ASCII character unnecessarily encoded as hexadecimal HTML entity composed of six characters (ampersand, grid #, x, two hex digits and the semicolon). Ie. space as:   - The terrace

Around the round pool with a diameter of 5.5 meters is a wooden terrace with a width of 130 cm. What is the area of the terrace? - Seagull

Artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull (wi - Satin

Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin? - Trapezium

The area of trapezium is 35 cm^{2.}Find its altitude if the bases are 6cm and 8 cm.

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