Answer:
True Statement are
![\sin E =\dfrac{11}{\sqrt{185}}](https://tex.z-dn.net/?f=%5Csin%20E%20%3D%5Cdfrac%7B11%7D%7B%5Csqrt%7B185%7D%7D)
![\sin D =\dfrac{8}{\sqrt{185}}](https://tex.z-dn.net/?f=%5Csin%20D%20%3D%5Cdfrac%7B8%7D%7B%5Csqrt%7B185%7D%7D)
Step-by-step explanation:
Given:
DF = 11
EF = 8
![DE = \sqrt{185}=Hypotenuse](https://tex.z-dn.net/?f=DE%20%3D%20%5Csqrt%7B185%7D%3DHypotenuse)
In Right Angle Triangle DEF, the Sine Identity is
![\sin D = \dfrac{\textrm{side opposite to angle D}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Csin%20D%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20D%7D%7D%7BHypotenuse%7D%5C%5C)
Substituting the values we get
![\sin D = \dfrac{EF}{DE}=\dfrac{8}{\sqrt{185}}](https://tex.z-dn.net/?f=%5Csin%20D%20%3D%20%5Cdfrac%7BEF%7D%7BDE%7D%3D%5Cdfrac%7B8%7D%7B%5Csqrt%7B185%7D%7D)
....True
And also,
![\sin E = \dfrac{\textrm{side opposite to angle E}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Csin%20E%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20E%7D%7D%7BHypotenuse%7D%5C%5C)
Substituting the values we get
![\sin E = \dfrac{DF}{DE}=\dfrac{11}{\sqrt{185}}](https://tex.z-dn.net/?f=%5Csin%20E%20%3D%20%5Cdfrac%7BDF%7D%7BDE%7D%3D%5Cdfrac%7B11%7D%7B%5Csqrt%7B185%7D%7D)
....True
Shows the correlation between three sets of data
What we're really trying to figure out is (33+37+41)/3
(33+37+41)=111
111/3=37
She can make 37 scarves
Answer:
4
Step-by-step explanation:
12 split into 3 is four, because 4 x 4 x 4 (4 three times) is equal to 12