Use the diagonals to determine whether a parallelogram with vertices P(2,4), E(4,8), S(12,4), and T(10,0) is a rectangle, rhombus, or square. Give all the names that apply.

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

The ratio of the measures of the three angles in a triangle is 2: 9: 4. find the measures of the angels

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.