The necklace charm shown has two parts, each shaped like a trapezoid with identical dimensions. what is the total area, in square millimeters, of the charm?

855mm

Step-by-step explanation:

The area of the trapezoid can be calculated through the equation,

A = (b₁ + b₂)h / 2

where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given,

A = (25mm + 32mm)(15 mm) / 2

A = 427.5 mm²

Since there are two trapezoids in the necklace, the area calculated is to be multiplied by two to get the total area.

total area = (427.5 mm²)(2)

total area = 855 mm²

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45