Algebra
2(26 + 2W) + 2(24)W = 104 or 2(26 + W) + 2(24 + W) will produce the same answer.
geometry
Draw a 2 inch circle. Divide the circle into six 60º sectors. Connect the points where the sector radii intersect the circumference giving you an inscribed hexagon. Construct six lines tangent to the circle and parallel to the sides of the inscribed hexagon giving you a c...
Algebra
First glance flashes "finite difference series" but there is insufficient data to confirm same. Assuming it is, the pattern would look like the following. n.....1.....2.....3.....4.....5... ......8....15....29....50....78... Diff....7.....14....21....28... Diff.........
trig
The actual circular orbit velocity of a pseudo-space shuttle at 200 miles altitude above the earth of 3963 miles radius is 17,257 mph, taking ~91 minutes to complete an orbit. I can only assume that the numbers given you for the stated problem were to allow you to exercise the...
geometry
Given a leg length "x" and all angles, the hypotenuse is "x" divided by the cosine of the angle adjacent to the given side or "x" divided by the sine of the angle opposite the given side. You might find the following of some interest. 1--There exi...
Science
Fundamentally, the sole reason that a satellite/spacecraft remains in orbit is its forward velocity. Lets explore. Assume there was some way to lift a 1000 pound satellite straight up to an altitude of 250 miles above the earth's surface. Once there, we let the satellite g...
Math - Linear algebra
C = cats D = dogs M = mice 1(C) + 15D + .25M = 100 or 4C + 60D + M = 400 (1) Also, C + D + M = 100 (2) Subtracting (1) from (2) yields 3C + 59D = 300 Dividing through by the lowest coefficient yields C + 19D + 2D/3 = 100 Let 2D/3 = an integer "k" making D = 3k/2 Subs...
Geometry
Given triangle ABC, the right angle being at B. Given AC = 10 Given AB = 4 Neither AB nor AC share the side of the square. Therefore, BC = the side of the square being BC = sqrt(10^2 - 4^2) = 9.1651 making the area of the square 84 sq.cm.
earth
One year = 365.25 days = 8766 hours The circumference of the orbit is 93,000,000(2)3.14 = 584,336,234 miles The orbital velocity is therefore V = 584,336,234/8766 = 66,660 mph. It could also be derived knowing the Sun's gravitational constant GM = 4.68772x10^21 ft.^3/sec.^...
physics
Flight time of bird to finish line, FL, = 3.9/46.2 = .0844 hr. Distance runner travels during this time period = .0844(7.7) = .65km. Distance from runner to FL = 3.9 - .65 = 3.25km. Net closing speed between runner and bird = 7.7 + 46.2 = 53.9Km/hr. Time for runner and bird to...
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