Math
speed of bus -- x mph speed of train -- x+15 mph Distance by train = (20/60)(x+15) distance by bus = (30/60)x but the distance is the same (1/3)(x+15) = (1/2)x times 6 2(x+15) = 3x 2x+30 = 3x x = 30 mph The bus goes at 30 mph, the train goes at 45 mph distance = (1/2)x = (1/2)...
calculus
sin40° = height/80 height = 80sin40 = 51.42 or appr 51 feet
Math
areas are proportional to the square of their sides so smaller bucket/6176 = 1^2/4^2 smaller bucket = 6176/16 =386 cm^2
Algebra
√18 + 3/√2 = (√36 + 3)/√2 =9/√2 = 9/√2 * √2/√2 = (9√2)/2
calculus
Nice twist to a standard question. I picked a point on the shoreline x miles horizonatally from the intake, leaving 3-x horizontally to the plant I let the diagonal in the water be D1 and the diagonal on land D2 I see two right-angled triangles one with sides 2, x and D1 the o...
Honors Trig
From the diagram that you made, let the speed of the wind be x, we get by the cosine law x^2= 350^2 + 400^2 - 2(350)(400)cos10° = 6753.829.. x = 82.18 mph by the sine law, the other acute angle Ø is .... sinØ/350 = sin10/82.18 sinØ = .7395.. Ø =...
maths-polynomials
numbers which, when divided by 7 , leave a remainder of 4: 11 18 25 32 39 46 53 60 67 74 ... numbers which, when divided by 9, leave a remainder of 3: 12 21 30 39 48 57 66 75 ... looks like 39 is the first such number, there are an infinite number of them, they are 39 102 165 ...
Maths Help
We have 3 isosceles triangles with a base of 10 and 3 isosceles triangles with a base of 22 let the central angle of each of the smaller be x and the angle of each of the larger be y 3x + 3y = 360° x+y = 120° for the smaller using the cosine law 10^2 = √n^2 + ...
math
Let the radius of the end sem-circles be r making the width of the rectangle to be 2r let the length of the rectangle be x The perimeter of the field is 2x + 2πr = 1400 x + πr = 700 x = 700-πr area = πr^2 + 2rx = πr^2 + 2r(700-πr) = πr^2 + 14...
algebra 2
I assume you are implying that we don't need a fence along the house. let the length be y m (the single side) let the width be x m so we know that 2x + y = 60 or y = 60 - 2x Area = xy = x(60-2x) = -2x^2 + 60x At this point I don't if you know Calculus or not. If you do...
Pages: <<Prev | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | Next>>
For Further Reading
