Answer:
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Step-by-step explanation:
Standard form is presented as Ax + By = C
all you need to do here is move the y value over to the side with the x value.
so,
x + 2/7y = 3/4
We have been given that the volume of cube is 64 cubic mm. We are asked to find the side length of the cube.
We will use volume of cube formula to solve our given problem.
, where
V = Volume of cube,
s = Side length of cube.
Upon substituting the given volume in above formula, we will get:
Now we will take cube-root on both sides of equation.
![\sqrt[3]{64}=\sqrt[3]{s^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D%5Csqrt%5B3%5D%7Bs%5E3%7D)
![\sqrt[3]{4^3}=\sqrt[3]{s^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4%5E3%7D%3D%5Csqrt%5B3%5D%7Bs%5E3%7D)
Using rule ![\sqrt[n]{a^n}=a](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%5En%7D%3Da)
, we will get:
Therefore, the side length of the cube is 4 mm.
Answer:
I am so sorry but I am stronger in math.
Step-by-step explanation:
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
