Area + numbers - practice problems - page 5 of 25
Number of problems found: 481
- Single-reverse 78404
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever. - Right-angled 78394
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle. - Constructed 77874
Squares are constructed above the overhangs and the transom. Connecting the outer vertices of adjacent squares creates three triangles. Prove that their contents are the same. - The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
- The length 13
The length of a rectangular garden is 3 5/11. The width is 1/4 of the length. What is the area of the garden as a mixed number? - A father 2
A father gave 1/3 of his land to the daughter and the remainder to the son. Son donates 3/4 of his land for the playground. He built a house in half of the remaining area, and the other half was sold for rs.1 million. 1) give the son's portion as a fracti - Instantaneous 76754
For a dipole, calculate the complex apparent power S and the instantaneous value of the current i(t), given: R=10 Ω, C=100uF, f=50 Hz, u(t)= square root of 2, sin( ωt - 30 °). Thanks for any help or advice. - The classroom 3
The classroom needs a new floor. The dimensions of the classroom are 34 1/2 feet by 36 1/2 feet. Find the area of the classroom. SIMPLIFY. - Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz
- The pilot
The pilot is on a mission with 160 liters of fuel. The distance between the main base and the operation area is 2 hours. The distance between the main base and backup base is 1 hour. Assume: - Aircraft fuel consumption is 10 lt/h. - Minimum fuel after lan - Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1 - Trapezoid and bases
Find the area of the trapezoid whose bases differ by three and whose height is three less than twice the upper base. - Mr Ambayen
Mr. Ambayen had 3 6/7 hectares of land. He planted 1/5 of it for coconut trees and 1/2 for avocado trees. What fraction of Mr. Ambayen's land was planted with trees? - A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile?
- Length in yds
Find the area of a rectangle with a length of 4 3/4 yards and a width of 1 1/16 yards. - A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199. Calculate the value of x. - ABS, ARG, CONJ, RECIPROCAL
Let z=-√2-√2i where i2 = -1. Find |z|, arg(z), z* (where * indicates the complex conjugate), and (1/z). Where appropriate, write your answers in the form a + i b, where both a and b are real numbers. Indicate the positions of z, z*, and (1/z) on an Argand - Z-score test
The fish weights in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If four fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a decim - A cone 2
A cone has a slant height of 10 cm and a square curved surface area of 50 pi cm. Find the base radius of the cone.
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