Examples for secondary school students - page 22 of 213
Number of problems found: 4251
- Quadrilateral 78874
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - A construction 2
A construction company will be penalized for its bridge construction delays. The penalty is set at 4,000 for the first day and shall be subjected to a 1,000 increase for each succeeding day. The company can afford a maximum payment of 165,000 for a penalt - Triangle of cans
A display of cans on a grocery shelf consists of 28 cans at the bottom, 25 cans in the next row, and so on. There are nine rows on a shelf. How many cans are there in the 9th row? How many cans in total are on display? - Calculate 78714
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side. - Normally distributed
Suppose the height of male youngsters is normally distributed with a mean of 60 inches and a standard deviation of 10. what percentage of the boy's height would we expect to be between 44 and 75, less than 49, and 76 and more? - What are 3
What are the five arithmetic means between 2 and 44? - Jogging program
After knee surgery, the trainer tells the man to return to his jogging program slowly. He suggests a jogging program for 12 minutes each day for the first week. After that, he suggests increasing the time by 6 minutes per week. Find the number of minutes - Common difference 2
What is the common difference of the arithmetic sequence with 20 terms, whose first term is 5a+b and the last term is 43a+20 b? - Sum of AP members
Find the sum of all the numbers between 8 and 258 that are divisible by 5. - Use AP sum formula
If x+3x+5x+7x+...+87x=5808, what is the value of x? - Parabolic sequence
Find the sum of the first nine terms of an arithmetic sequence whose general term is a(n) = 3n²+5 - The product 9
The product of the third and second terms of the arithmetic progression is 3000. If the common difference is 10, find the first term. - Opposite 78434
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41m from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree? - Socks
Ben's favorite colors are blue and green. He has six blue socks and six green socks in his sock drawer. Unfortunately, they are completely mixed up, and one day, he has to grab some socks to wear in complete darkness. How many socks (minimum) does he have - Quadrilateral PQRS
PQRS is a quadrilateral with P(4,4), S(8,8), and R(12,8). If vector PQ=4*vector SR, find the coordinates of Q. Solve it - AP five members
Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100. Show your solution. - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - Senior students
There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not f - The midpoint 3
The ranges are 10-20, 20-30, 30-40, and 40-50. If the frequency is 7 15 26 12, what is the midpoint? - The average 7
The average lifespan for cricket is 90 days, with a standard deviation of 13 days. If we assume that the lifespan of cricket is normally distributed, a. What is the probability a randomly selected cricket has a lifespan of fewer than 75 days? b. What is t
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