Square root - math word problems - page 33 of 56
Number of problems found: 1120
- Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm².
- Cross road
From the junction of two streets perpendicular to each other, two cyclists (each on another street) walked out. One ran at 18 km/h, and the second at 24 km/h. How are they away from a) 6 minutes, b) 15 minutes?
- Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or
- Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid.
- Square root 2
If the square root of 3m² +22 and -x = 0, and x=7, what is m?
- Equation of the circle
Find the equation of the circle with the center at (1,20), which touches the line 8x+5y-19=0
- Two people
Two straight lines cross at right angles. Two people start simultaneously at the point of intersection. John walks at the rate of 4 kph on one road, and Jenelyn walks at the rate of 8 kph on the other road. How long will it take for them to be 20√5 km apa
- Cone 15
The radius of the base of a right circular cone is 14 inches, and its height is 18 inches. What is the slant height?
- Is right-angled
Can a triangle with the sides of sqrt 3, sqrt 5, and sqrt 8 (√3, √5, and √8) be a right triangle?
- Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members.
- Calculate
Calculate the surface of the cube if its volume is 64 cm³.
- Lampshade
The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm² of material will we need when 10% is waste?
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is:
- Triangular 6610
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm.
- Perpendicular prism network
Find the volume and surface of a triangular prism with the base of a right triangle, the network of which is 4 cm 3 cm (perpendiculars) and nine centimeters (height of the prism).
- Calculate 6580
The rotating cone has a height of 20 cm and a radius of 18 cm. Calculate its surface.
- Dimensions of a fabric
How many m² of fabric is needed to make a tent of a regular 3-sided prism if it is necessary to count on a 2% reserve of fabric? Dimensions - 2m 1.6m and height 1.4m
- Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r an
- Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5).
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