Which step is the when constructing an inscribed regular hexagon and an inscribed equilateral triangle
find the 6th term of the expansion of (2p - 3q)11. a. -7,185,024p4q7 c. -7,185p4q7 b. -7,185,024p6q5 d. -7,185p6q5 select the best answer from the choices provided a b c d
x = 9
this shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). a 30-60-90 triangle is special because of the relationship of its sides. the hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. the longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.
since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:
2x = 18 or x = 9
answer: 3 teaspoons of vinegar and 9 tablespoons of olive oil
since those only add up to one part of 3, you just multiply each value by 3.
answer: 5: 1