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The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle.
a. 20
b. 23
c. 22
d. 21
d. To determine the length of the rectangle, we will use the Pythagorean theorem. The width, a, is 20. The diagonal, c, is x + 8. The length, b, is x; a2 + b2 = c2; 202 + x2 = (x + 8)2. After multiplying the two binomials (using FOIL), 400 + x2 = x2 + 16x + 64. Subtract x2 from both sides; 400 = 16x + 64. Subtract 64 from both sides; 336 = 16x. Divide both sides by 16; 21 = x. If you select a, you incorrectly calculated the diagonal to be 28.
Use Newton's Method to find out an approximation to the solution to cos x = x which lies in the interval [0,2]. Determine the approximation to six decimal places. Solution
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How do you simplify 10:30:45
2x+57=65 find x
In this section we will be looking exclusively at linear second order differential equations. The most common linear second order differential equation is in the type. p (t ) y
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