Samantha is told that sin (O) = and tan (0)<0, and was asked to determine the value of cos (©). • She uses the Pythagorean identity and defines it to be sin() + cos2 ( 0 )= 1.

• She substitutes į into the equation for sin (0)

• She then looks at values of sin ( ) and tan () and says that the only quadrant in which sin() is positive and

tan() is negative is the first quadrant.

Samantha determines that the answer is

cos () =

(21)

Aplot of land has been surveyed for a new housing development with borders ab, bc, dc, and da. the plot of land is a right trapezoid with a height of 60 feet and an opposite leg length of 65 feet

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.

Square a has a side length of (2x-7) and square b has a side length of (-4x+18). how much bigger is the perimeter of square b than square a?and show all work! you so