Grade - math word problems - page 626 of 942
Number of problems found: 18839
- Percentages - students
There are 800 pupils at the school, of which 375 are girls. What percentage of the total number of pupils are girls and boys? Round results to two decimal places.
- Cube edges
The sum of the lengths of the cube edges is 48 cm. Calculate the surface of the cube.
- 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?
- Hyperbola
Find the equation of hyperbola that passes through the point M [30; 24] and has focal points at F1 [0; 4 sqrt 6], F2 [0; -4 sqrt 6].
- Ellipse
Ellipse is expressed by equation 9x² + 25y² - 54x - 100y - 44 = 0. Find the length of primary and secondary axes, eccentricity, and coordinates of the ellipse's center.
- Tangent of an angle
Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is:
- Intersection 6653
Two straight paths cross, making an angle alpha = 53 degrees 30'. There are two pillars on one of them, one at the intersection, the other at a distance of 500m from it. How far does one have to go from the intersection along the other road to see both po
- In a 2
In a thirteen-sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal, and the other four are 18° less than each of the equal angles. Find the angles.
- Circumference 6651
Calculate the circumference of a circle if its area is 706.5 cm²
- Swimming 6649
How long will the swimming pool be 20 m long, 12 m wide, and 2 m deep? Two inlets are used for filling, each filling nine hectoliters of water per minute.
- Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line.
- Triangles 6647
For triangles ABC and A'B'C': alpha = alpha with a line, beta with line = beta. a) are these triangles identical? Why? b) are these triangles similar? Why?
- Two angles
The triangles ABC and A'B'C 'are similar. In the ABC triangle, the two angles are 25° and 65°. Explain why in the triangle A'B'C 'is the sum of two angles of 90 degrees.
- Equation: 6645
Solve the equation: (2v + 2) / 8 = (v-7) / 4-v
- Equation: 6644
Solve the equation: 1/5. (a-3) -1/3. (a-5) = 1
- Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle?
- The diagram
The diagram shows a cone radius of 8cm and a height of 10cm. How long is the diameter of the base?
- Supposed 6641
The snail is supposed to climb a 5 meter high wall. It rises 3 meters every day, but at night, it falls 2 meters down. How many days will it climb the wall?
- Ribbons 6640
Danka knits a sweater and has a choice of seven colors. a) How many ways can he choose three colors for the sleeves? b) He wants ribbons of four colors on his back. How many options does he have to choose from?
- Complete 6639
Complete the number series with another number, which is 150 on average: 43 69 87 125 197 211 298
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