Bear in mind that, when it comes to trigonometric functions, the location of the exponent can be a bit misleading, however recall that sin²(θ) is really [ sin( θ )]²,
![\bf 2sin^2(2x)=2\implies sin^2(2x)=\cfrac{2}{2} \\\\\\ sin^2(2x)=1\implies [sin(2x)]^2=1\implies sin(2x)=\pm\sqrt{1} \\\\\\ sin(2x)=\pm 1\implies sin^{-1}[sin(2x)]=sin^{-1}(\pm 1)](https://tex.z-dn.net/?f=%5Cbf%202sin%5E2%282x%29%3D2%5Cimplies%20sin%5E2%282x%29%3D%5Ccfrac%7B2%7D%7B2%7D%0A%5C%5C%5C%5C%5C%5C%0Asin%5E2%282x%29%3D1%5Cimplies%20%5Bsin%282x%29%5D%5E2%3D1%5Cimplies%20sin%282x%29%3D%5Cpm%5Csqrt%7B1%7D%0A%5C%5C%5C%5C%5C%5C%0Asin%282x%29%3D%5Cpm%201%5Cimplies%20sin%5E%7B-1%7D%5Bsin%282x%29%5D%3Dsin%5E%7B-1%7D%28%5Cpm%201%29)
Answer:ggg
Step-by-step explanation:ggggg
<h3>The expression for the length of fabric used for each doll is

</h3>
<em><u>Solution:</u></em>
Given that,
Margaret has 16 yards of fabric
she is making dresses for z doll
Therefore,
Total length of fabric = 16 yards
Number of dresses = z dolls
Therefore,

Thus, the expression for the length of fabric used for each doll is 
Answer:
Rate = 10%
Step-by-step explanation:
We are given with the following details.
Interest earned = $ 116.25
Principal = $ 1550
Interest Rate = r (say)
Time = 9 months
= 
We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .
The formula for simple interest is given as



r=0.1
Hence the r = 0.1
Hence the rate of interest is 10%
Area of trapezoid = 1/2(b1+b2)h
b1 and b2 are top and bottom bases
so b1 = 15.8 and b2 = 21.8
h is height so h = 11.7
so
A = 1/2(15.8 + 21.8)(11.7)
A = 1/2(37.6)(11.7)
A = 219.96
answer
D. 219.96 yd^2