Expression of a variable from the formula - high school - practice problems
Number of problems found: 872
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - The mean 2
The mean cost of 4 items was $39.96. The first item cost $28.50, the second item cost $41.25, and the third item cost $50. Find the cost of the fourth item. - Correct mean and CV
For a group of 100 students, the mean and coefficient of variation of their marks were found to be 60 and 25, respectively. Later, it was found that the scores 45 and 70 were wrongly entered as 40 and 27. Find the corrected mean and coefficient of variati - The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate?
- The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment? - Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - Kenji
Kenji earned the test scores below in English class. {79, 91, 93, 85, 86, and 88} After his next test, his mean and median scores both changed to 88. What does he earn on his test? - The sum 41
The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate.
- Properties of eq2 roots
If p and q are the zeroes of the quadratic polynomial f(x) = 2x2 - 7x + 3, find the value of p + q - pq. - Fredrik
Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b. - The balance 2
If your balance at the end of 4 years is 50000, at a 5% interest rate, What was your original investment? - Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Evaluate complex eq
If z=x+yi and 3x+(3x-y)i=4-6i then z=
- General right triangle
In a right triangle, if a =x+34 and b = x and c= 50, then solve for x. Side c is a hypotenuse. Then discuss the case when a or b is a hypotenuse. - AP with variables
What is the second member in the arithmetic sequence with 7 terms, whose first and last terms are x+2y and 7x-4y - The 8th
The 8th term of GP is greater than the 5th term, and the 10th term is 10 times the 2nd term find: 1) the common ratio 2) 20th term - A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - The sum 39
The sum of the first six terms of the arithmetic sequence is 72, and the second term is seven times the fifth term. Find the first term and the AP difference.
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