Rearrange variables - math word problems - page 33 of 145
Number of problems found: 2899
- Side deviation
A frustum has base radii r₁ and r₂ where r₁ > r₂, r₂ = s, and the slant side makes an angle of 60° with the base plane. Express the surface area and volume of the frustum in terms of its slant height s. - Capacity of the box
The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters? - Cylinder diameter height
The cylinder's volume is 5 l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder. - Worker output increase
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task? - Diamond height angle
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Quadrilateral 4S prism
The edge lengths of a quadrilateral prism are in the ratio a:b:c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Circle diameter ratio
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter? - School grade expression
There are p first-year students in the school. There are 18% fewer sophomores than first-year students. There are 7 more third graders than sophomores and twice as many fourth graders as first- and second-year students combined. Express the number of pupi - Inaccessible direct
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000 m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B, - Starting
The aircraft has a take-off speed of 310 km/h, a take-off weight of 16.5 t, and uses a 2 km take-off runway. Its cruising speed is 880 km/h and cruising altitude is 10 km. a) Determine the aircraft's acceleration during take-off and the take-off time. b) - Calculate radius
The surface of the sphere is 624 cm². Calculate its radius. - Triangle line ratio
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle? - TV screen width
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - The average 5
The average of the two numbers is 9.5. One of the numbers is 11. What is the value of the other number? - Tractor hectare plowing
Tractor drivers plow "h" hectares of land per day. How many hectares of land would they have to plow per day to plow the 585 ha area three days earlier than planned? For which "h" does this problem have a positive solution? - Expression writing forms
Write the expression n, which is: (a) Six greater than twice the expression y; b) equal to the square root of the sum of the expression y and the number 3; (c) three times less than four times the expression y. - Circle chord distance
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places. - Length 26
The length of the median of a trapezoid is 10 inches. The median divides the trapezoid into two regions whose areas are in the ratio 3:5. What is the length of the shorter base? - Grandma 9
Grandma bought 2 kilograms of apples at a CZK per kilogram, 5 kg of potatoes at b CZK per kilogram, and one celery for 12 CZK. She paid with three fifty-crown coins. ○ Depending on the values a and b, express in CZK the amount of change Grandma received. - Shirt suit price
The shirt price was reduced by 10% of the original price k. On the other hand, the price of the suit was increased by 5% of the original price p due to the shortening of the legs. Depending on the variables k, and p, express the total cost of the two shir
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