Examples for secondary school students - page 56 of 231
Number of problems found: 4610
- Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members. - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - Vectors
Find the magnitude of the angle between two vectors u = (3; -5) and v = (10; 6) - Linear temp change
The temperature in Inuvik, Northwest Territories, increased at the same rate from -22°C at 9:00 AM to -8°C at 4:00 PM one day. What was the temperature at 2:00 PM? - Coordinates 59863 The endpoint of the vector, which is located at the origin of the Cartesian system Oxy, is given. Determine the coordinates of the vector and its magnitude, and sketch it: P[3,4]; Q[-2,7]; S[-5,-2] . .. i.e., Vectors PO, QO, SO
- Coordinate 59833
Determine the unknown coordinate of the vector so that the vectors are collinear: e = (7, -2), f = (-2, f2) c = (-3/7, c2), d = (- 4.0) - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Line - normal form
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal equation of line: Ax + By = C - Coordinates 59763
The vectors v = (2.7; -1.8), w = (-3; 2.5) are given. Find the coordinates of the vectors: a = v + w, b = v-w, c = w-v, d = 2 / 3v - School group
There are five girls and seven boys in the group. They sit in a row next to each other. How many options if no two girls sit next to each other? - Square function
If z varies jointly as x and the square of y, and z = 20 when x = 4 and y = 2, find z when x = 2 and y = 4. - Banknotes 59503
Matej had 2 euro coins and 5 euro banknotes in his box. There were a total of 60 of them worth 171 euros. How much money did Matej have in the treasury? - Bridge cards
Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces. - Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term. - Tv dinner tray
I'm trying to calculate the total number of unique potential combinations, but I'm trying to solve for a TV dinner tray with four little sections each: meat, veggie, starch, and dessert. This is more complex because we have different types of meats/veggie - Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r - AP sequence
Identify the 11th term in the pattern using the rule: Starting number 4 and Add 16. - Two forces 3
Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. Find the angle between the forces if the resultant force is 17 Newtons. - Recurrence relation
Consider a recurrence relation an = 3an-1 - 3an-2 for n = 1,2,3,4,… with initial conditions a1 = 4 and a2 = 2. Calculate a5. - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252
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