Answer:
A) 6.54cm
Step-by-step explanation:
a^2 + b^2 = c^2
5.7^2 + 3.2^2 = c^2
5.7^2 + 3.2^2 = 42.73
next square root answer
≈ 6.54cm
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:
(√2)(√2)
=√4
=2
Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3
y=2√3
The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let
be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be
. From this information we can gather that the cost function for this factory is,

On the other hand, if we let
be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

The company has to sell 134 750 units to break even.
<span> supplementary angles have sum = 180
so answer is </span><span>B. supplementary angles</span>