Examples for secondary school students - page 79 of 229
Number of problems found: 4578
- Andrew
Andrew had an offer for a job starting at 100000 per year and guaranteeing her to raise 10000 a year for the next years. Find her salary for the 4th year. - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²? - Staircase
On a staircase 3.6 meters high, the number of steps would increase by three if the height of one step decreased by 4 cm. How high are the stairs? - Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s. - The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile. - Up and down motion We throw the body from a height h = 5 m above the Earth vertically upwards v0 = 10 m/s. How long before we let the second body fall freely from the same height to hit the Earth simultaneously?
- Calculate 33911
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³.
- Three dice
The player throwing the three dice asked G. Galilei: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him? Hint: write down all three triples of numbers that can be thrown, have a total of 11, have a total of 12, and compare proba - Please
Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0: x/(x²-2x+1) - (x+3)/( x²-1) = 0 - As shown
As shown, in △ ABC, ∠C = 90°, AD bisects ∠BAC, DE⊥AB to E, BE = 2, BC = 6, then the perimeter of △ BDE - Perpendicular projection
Determine the distance of point B[1, -3] from the perpendicular projection of point A[3, -2] on a straight line 2 x + y + 1 = 0. - Vertex points
Suppose the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area. - Retirement annuity
How much will it cost to purchase a two-level retirement annuity that will pay $2000 at the end of every month for the first ten years and $3000 per month for the next 15 years? Assume that the payment represents a rate of return to the person receiving t - The accompanying
The accompanying table gives the probability distribution of the number of courses randomly selected student has registered Number of courses 1 2 3 4 5 6 7 Probability 0.02 0.03 0.1 0.3 0.4 - 0.01 respectively. a) Find the probability of a student registe - Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms.
- Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)? - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - Terms of GP
What is the 6th term of the GP 9, 81, 729,. ..? - GP - first term
Find the 1st term of the GP: ___, -6, 18, -54. - What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __?
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