Planimetrics - math word problems - page 97 of 183
Number of problems found: 3651
- Rhombus problem
The perimeter of the rhombus is 268 m, and its area is 2278 m². Calculate the height of the rhombus.
- Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf?
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c
- Triangle
For how many integer values of x can 5, 6, and x be the lengths of the sides of a triangle?
- Euclid3
Calculate the height and sides of the right triangle if one leg is a = 100 km and the section of hypotenuse adjacent to the second leg cb = 14 km.
- Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle.
- Perpendicular 73264
The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b.
- Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
- The length 11
The length of a rectangle is four times its width. If the area is 100 m², what is the length of the rectangle?
- Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm, and the arms a = b = 13 cm long.
- Cinema 4
In the cinema, there are 1656 seats; in the last row, there are 105 seats; in each next row, there are 3 fewer seats. How many are the total rows in the cinema?
- Internal angles IST
Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3
- Calculate 78714
Calculate the size of the base and side of an isosceles triangle if the side is 1 cm longer than the base and the height to the base is 2 cm shorter than the side.
- 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?
- The triangle - sides
The two sides of the triangle have side lengths a = 6cm and b = 13cm. Then the following applies to the length of the third side c: (A) 7
- The two
The two angles of a triangle are 78° and 82°. So, what is the measure of the remaining third angle?
- Completing square
Solve the quadratic equation: m²=4m+20 using completing the square method.
- Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120
- Two angles 2
Two angles of a triangle have the same measure, and the third one is 45 degrees greater than the measure of the other two. Find the measure of the largest angle in the triangle.
- Perimeter 81458
Find out if a square with a perimeter of 12 CM has an area greater than 12 cm²
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