We know that
in the right triangle
sin x=opposite side angle x/hypotenuse
opposite side angle x=66 mm
hypotenuse=79 mm
so
sin x=66/79
x=arc sin (66/79)-------> x=56.66°-------> x=56.7°
the answer is
x=56.7°
Answer:
7 X / 2 y
Step-by-step explanation:
let Mel equals to X and female equals to y
therefore ×=y
therefore to make the count proper we have to multiply the male by 7
so 7 x = 2y and the fraction becomes 7 X / 2 y
hope this helps
Answer:
The Red Submersible
Step-by-step explanation:
Answer:
c)
Step-by-step explanation:
(-4,2) ; (4,-5)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-5-2%7D%7B4-%5B-4%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B4%2B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B-7%7D%7B8%7D)
m = -7/8 ; (-4,2)
equation: y - y1 = m(x - x1)
![y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x-%5B-4%5D%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7D%28x%2B4%29%5C%5C%5C%5Cy-2%3D%5Cfrac%7B-7%7D%7B8%7Dx%20%2B%5Cfrac%7B-7%7D%7B8%7D%2A4%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B2%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B4%7D%7B2%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-7%7D%7B8%7Dx-%5Cfrac%7B3%7D%7B2%7D%5C%5C)
Answer:
The volume of her cube is
cubic centimeters.
Step-by-step explanation:
The side length of the cube is
, we proceed to convert this value into an entirely rational form:




The volume of the cube (
), measured in cubic centimeters, is determined by the following expression:
(1)
If we know that
, then the volume of the cube is:




The volume of her cube is
cubic centimeters.