Expression of a variable from the formula - 9th grade (14y) - math problems
Number of problems found: 554
Bamboo high 32 feet was at a certain height broken by the wind so the bamboo top reached the ground at a distance of 16 feet from the trunk. At what height from the ground was the bamboo broken?
- Circle's chords
In the circle there are two chord length 30 and 34 cm. The shorter one is from the center twice than longer chord. Determine the radius of the circle.
- Trapezoid - central median
The central median divides the trapezoid into two smaller trapezoids. Determines the ratio of their contents.
Determine the coefficient of this sequence: 7.2; 2.4; 0.8
- The volume
The volume of the sphere is 1 m3, what is its surface?
- Unknown number
Determine the unknown number, which double of its fourth square is equal the fifth its square.
Calculate height and volume of a regular tetrahedron whose edge has a length 4 cm.
In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
- TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°?
- Two cyclists
Two cyclists started from crossing in the same time. One goes to the north speed 20 km/h, the second eastward at speed 26 km/h. What will be the direct distance cycling 30 minutes from the start?
- Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the volume of the segment. What is the distance of the cutting plane from the center of the sphere?
- Equilateral triangle
Calculate the area of an equilateral triangle with circumference 72cm.
- Equilateral triangle
The equilateral triangle has a 23 cm long side. Calculate its content area.
Determine the radius of the circle, if its perimeter and area is the same number.
- In the
In the rectangle ABCD, the distance of its center from the line AB is 3 cm greater than from the line BC. The circumference of the rectangle is 52 cm. Calculate the contents of the rectangle. Express the result in cm2.
- Car and cyclist
Cyclist started from town at speed 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was a car?
- The ladder
The ladder touch on a wall at a height of 7.5 m. The angle of the inclination of the ladder is 76°. How far is the lower end of the ladder from the wall?
- Broken tree
The tree was 35 meters high. The tree broke at the height of 10 m above the ground. Top but does not fall off it refuted on the ground. How far from the base of the tree lay its peak?
- Find the
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, 2a
- The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube.