Numbers - math word problems - page 213 of 215

Number of problems found: 4287

Parallelogram 65954
In the parallelogram ABCD AB = 8, BC = 5, BD = 7. Calculate the magnitude of the angle α = ∠DAB (in degrees).
Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows the same speed?
TV fail
The TV has average 35 failures after 10,000 hours. Find the probability of TV failure after 400 hours of operation.
Hypotenuse 64694
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the content of triangle ABC if the line on the hypotenuse is 0.2 dm long and if | ∢ACS | = 30 °.
Squirrels
The squirrels discovered a bush with hazelnuts. The first squirrel plucked one nut, the second squirrel two nuts, the third squirrel three nuts. Each new squirrel always tore one nut more than the previous squirrel. When they plucked all the nuts from the
Seawater
Seawater has a density of 1025 kg/m³, ice 920 kg/m³. 8 liters of seawater froze and created a cube. Calculate the size of the cube edge.
Apartment 71114
A father and son paint the apartment together in 6 hours. My father would paint the apartment in 9 hours. In how many hours would the son paint the apartment himself?
Probability 71174
Find the probability that one will fall at least once in three rolls.
Three-digit 58943
The vortex of the three given digits formed different three-digit numbers. When she added up all these numbers, she published 1554. What numbers did Vierka use?
Trigonometric functions
In the right triangle is: tg α= frac(2) 1 Find the value of s and c: sin α= (s)/(√ 5) cos α= (c)/(√ 5)
Calculate 64514
In the triangle ABC, a: b = 3: 2 and α: β = 2: 1. Calculate the ratio a: c.
Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
Modulus and argument
Find the mod z and argument z if z=i
Sin cos tan
If cos y = 0.8, 0° ≤ y ≤ 90°, find the value of (4 tan ⁡y) / (cos⁡ y-sin ⁡y)
Octahedron - sum
On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8, wherein on different sides are different numbers. For each wall John make the sum of the numbers written of three adjacent walls. Thus got eight sums, which also
Observatories 64424
Objective C we observe from two artillery observatories A, and B, which are 975 m apart. The size of the BAC angle is 63 °, and the size of ABC is 48 °. Calculate the distance of points A and C.
Solve 13
Solve the missing dimensions for the following triangle: Triangle ABC: AngleA=43 degrees, b=7.0cm, c=6.0cm Question 1. AngleB with units written as degrees Question 2. Angle C with units written as degrees Question 3. a, rounded to the nearest tenth of a
Three-digit 7248
Find all three-digit numbers n with three different non-zero digits divisible by the sum of all three two-digit numbers we get when we delete one digit in the original number.
Drinking water
A man drinks a keg of water in 29 days, and a woman drinks in 59 days. How many days do they consume a keg together?
Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant?

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