Examples for 9th grade - page 24
- Triangle SAA
The triangle has one side long 34 m and its two internal angles is 60°. Calculate the perimeter and area of the triangle.
3 children pulled 9 different toys from a box. Many ways can be divided toys so that each children had at least one toy?
If the segment of the line y = -8x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?
- Fire tank
Whole fire tank was discharged once in 2 days by first out by second in $n days. Once firefighters pumped out 1/9 of water out from the tank and then let the water flow out both drain. How long take empty the tank?
What is the average speed of the car, where half of the distance covered passed at speed 59 km/h and the other half at 119 km/h.
Fresh mushrooms contain 96% water, dried 12%. How many kg of fresh mushrooms is needed to collect to get 7 kg dried?
Determine the area of a trapezoid with bases 60 and 37 and height is 3 shorter than the its leg.
- Circle arc
Calculate the area of the circular arc in m2 where the diameter is 206 dm and a central angle is 150°. Result round to three decimal places.
- Equilateral cylinder
Equilateral cylinder (height = base diameter; h = 2r) has a volume of V = 221 cm3 . Calculate the surface area of the cylinder.
Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.
- Snowman 2
On the medal, which has the shape of a circle with a diameter 17 cm is sketched snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over snowman is the same as under it, 3. diameters of all circles express
- Vertical prism
The base of vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism
- Rhombus diagonal
Area of rhombus is 417. One diagonal measures 45, find length of other diagonal.
- Chord AB
What is the length of the chord AB if its distance from the center S of the circle k(S, 71 cm) is 27 cm?
Pedestrian came started at 7h in the morning with speed 3.6 km/h. At half-past eleven cyclist started at 27 km/h same way. How many minutes take cyclist to catch up pedestrian?
Apply for a $ 20000 loan, the loan repayment period is 19 years, the interest rate 2.3%. How much should I pay for every month (or every year if paid yearly). Example is for practise geometric progression and/or periodic payment for an annuity.
- Trapezoid MO-5-Z8
ABCD is a trapezoid that lime segment CE divided into a triangle and parallelogram as shown. Point F is the midpoint of CE, DF line passes through the center of the segment BE and the area of the triangle CDE is 3 cm2. Determine the area of the trapezoid A
- Diagonals in the diamond
The length of one diagonal in diamond is 25 cm greater than the length of the second diagonal and diamond area is 20 m2. Determine the sizes of the diagonals.
How many different 4 digit natural numbers in which no digit is repeated, can be composed from digits 0,1,2,3?
- Chemical parison
The blown parison (with shape of a sphere) have a volume 1.3 liters. What is its surface?