Isolating a variable in the formula - math word problems - page 32 of 144
Number of problems found: 2878
- Parallelogram 71214
How big are the internal angles in the parallelogram when we know that the angle at one vertex is twice as large as the others?
- Treadmill 70904
The runner circled the track three times. If he went around it once more, he would run one kilometer. What is the radius of the treadmill?
- RT = legs, circle
One leg of a right triangle ABC has length a= 14 cm and the radius of the circle inscribed in this triangle r= 5 cm. Calculate the length of the hypotenuse and its other leg.
- Calculate 70814
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
- Calculate 70804
The garden is a right triangle fenced with a 364 m fence length. The shorter slope of the triangle is 26 m long. Calculate the area of this garden.
- Combinations - elements
If we increase the number of elements by 1, the number of combinations of the third class without repetitions increases by 10. How many elements do we have?
- GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean
- 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 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?
- 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?
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