Expression of a variable from the formula - high school - practice problems
Number of problems found: 498
- The sum 20
The sum of the first 6 terms of an arithmetic progression is 552 and the sum of the first 2 terms of the same is 200. Determine the sum of the first 15 terms.
Cosine and sine theorem: Calculate all missing values from triangle ABC. c = 2.9 cm; β = 28°; γ = 14° α =? °; a =? cm; b =? cm
Cosine and sine theorem: Calculate all missing values from triangle ABC. a = 20 cm; b = 15 cm; γ = 90°; c =? cm; α =? °; β =? °
- AP members
Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702.
Three points are given: A (-3, 1), B (2, -4), C (3, 3) a) Find the perimeter of triangle ABC. b) Decide what type of triangle the triangle ABC is. c) Find the length of the inscribed circle
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =?
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has 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 equal to 50 m³. Find the lateral area of the pyramid.
- Seventh term
The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term.
- Two forces 3
Two forces of magnitude 8 Newtons and 15 Newtons respectively act at a point. If the resultant force is 17 Newtons, find the angle between the forces.
- At what
At what speed did the motorist drive when he reacted by noticing the obstacle by 0.8 s; the magnitude of the opposite acceleration during braking was 6.5 m/s ^ 2 and the car ran to a stop track 35 m?
- The satellite
The satellite orbiting the Earth at an altitude of 800 km has a speed of 7.46 km/s. For how long would it have to move from the start to the orbit to reach this speed if it evenly accelerated its motion in a straight line? What is the acceleration of sate
- The width
The width of a rectangular garden is 4 m less than the length. If the area of a rectangular garden is 96 square meters, what is the dimension of the garden?
- Given 2
Given g(x)=x2+x+1 where x=t². What is g(t²)?
- The isosceles
The isosceles trapezoid ABCD has bases of 18 cm and 12 cm. The angle at apex A is 60°. What is the circumference and content of the trapezoid?
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- Centre of the hypotenuse
For the interior angles of the triangle ABC, alpha beta and gamma are in a ratio of 1: 2: 3. The longest side of the AB triangle is 30 cm long. Calculate the perimeter of the triangle CBS if S is the center of the side AB.
- Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.
- Poisson distribution - daisies
The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.
Expression of a variable from the formula - practice problems. Examples for secondary school students.