Isolating a variable in the formula - math word problems - page 32 of 144
Number of problems found: 2866
- Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters.
- Side deviation
Frustum has the base radii of the figures r1 and r2: r1> r2, r2 = s, and if the side deviation from the base plane is 60°. Express the surface and volume of the cone frustum using its side s.
- Capacity 70404
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?
- Dimensions 70354
The cylinder's volume is 5l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder.
- Improvements 70344
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?
- Degrees 70334
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.
- Circumference 69934
You know the ratio of the circumference of the circle to the area is 4:9. What is the circle's diameter?
- Second-year 69854
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 2000m 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 is taking off on a 2 km take-off runway. The flight speed is 880hm/h, the flight altitude is 10 km. a) Determine the acceleration of the aircraft during takeoff and the takeof
- Calculate radius
The surface of the sphere is 624 cm². Calculate its radius.
- Triangle 69144
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?
- Calculate 69104
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?
- Hectares 68854
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 68814
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.
- Intersections 68784
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 the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is:
- Grandma 9
Grandma bought 2 kilograms of apples at a crowns per kilogram, 5 kg of potatoes at b crowns per kilogram, and one celery for 12 crowns. She paid with three fifty crowns. o Depending on the quantities a, b, express the amount in crowns that was returned to
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