Isolating a variable in the formula - math word problems - page 111 of 145
Number of problems found: 2883
- Daughter and father
"My daughter will be x years old in x²," said Elise's father in 1991 at her birthday party. a) When will the said event occur, and how old will Elise be at that time? b) In what year was Elise born? c) How old was Elise in 1991? - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Gardeners 5542
Three gardeners mow the meadow for a while. Four gardeners can do it half an hour earlier. How long will it take five gardeners to do it? - Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2. - Calculate 5539
Calculate the quotient of the geometric sequence if the sum of the first two terms equals 1.1 and a6 = 10000. A quotient is a natural number. - Centimeters 5533
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - Theatre performances
A total of 15,744 CZK was collected as admission for three theatre performances. The revenue from the second performance was 20% higher than the revenue from the first performance and the revenue from the third performance was 10% lower than the revenue f - Perpendicular sides
In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - Calculate 5514
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272. - Parallelogram 5509
The parallelogram has a side 6 cm long, and the height on this side is 4 cm long. What is the height of an isosceles triangle with a base 6 cm long and the same area? - Tangent
What distance are the tangent t of the circle (S, 4 cm) and the chord of this circle, which is 6 cm long and parallel to the tangent t? - Two diagonals
The diagonals of the diamond EFGH have lengths in the ratio of 1:2. What is the circumference of a rhombus if the longer diagonal is 8 cm long? - Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Tangent 3
In a circle with a center O radius is 4√5 cm. EC is the tangent to the circle at point D. Segment AB is a given circle's DIAMETER. POINT A is joined with POINT E, and POINT B is joined with POINT C. Find DC if BC IS 8cm. - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Circumference 5487 Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters.
- Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Simple equations
Solve the system of equations: 5x+3y=5 5x+7y=25 - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Circumscribed by triangle
Inside the rectangle ABCD, the points E and F lie so that the line segments EA, ED, EF, FB, and FC are congruent. Side AB is 22 cm long, and the circle circumscribed by triangle AFD has a radius of 10 cm. Determine the length of side BC.
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