5x - 15 = 2x - 6
3x = 9
x = 3
Y = 5(3) - 15
Y = 0
(3,0)
Answer:
the volume of the sphere is
![33.51 in^{3}](https://tex.z-dn.net/?f=33.51%20in%5E%7B3%7D)
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere and cube.
Given data
Volume of cube v = 64 cubic inches
since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,
we know that volume of cube is expressed as
![v= l*b*h](https://tex.z-dn.net/?f=v%3D%20l%2Ab%2Ah)
![v=l^{3}](https://tex.z-dn.net/?f=v%3Dl%5E%7B3%7D)
![64= l^{3}](https://tex.z-dn.net/?f=64%3D%20l%5E%7B3%7D)
![l= \sqrt[3]{64}](https://tex.z-dn.net/?f=l%3D%20%5Csqrt%5B3%5D%7B64%7D)
![l= 4 in](https://tex.z-dn.net/?f=l%3D%204%20in)
also diameter d=length l
Diameter d=
Radius r =
=
= ![{2 in}](https://tex.z-dn.net/?f=%7B2%20in%7D)
Height h=![4in](https://tex.z-dn.net/?f=4in)
we know that the volume of a sphere is given by
![v= \frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=v%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
substituting into the formula we have
![v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}](https://tex.z-dn.net/?f=v%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5C%20%2A3.142%2A2%5E%7B3%7D%20%5C%5Cv%3D%5Cfrac%7B4%2A3.142%2A8%7D3%7D%20%5C%5Cv%3D%20%5Cfrac%7B100.54%7D%7B3%7D%20%5C%5Cv%3D%2033.52in%5E%7B3%7D)
Answer:
Step-by-step explanation:
Inverse trig functions are used to find angles.
Answer:
32h = d
Step-by-step explanation:
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