A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to
![s^3](https://tex.z-dn.net/?f=s%5E3)
where s is the side length.
![s^3 = \frac{27}{64}](https://tex.z-dn.net/?f=s%5E3%20%3D%20%20%5Cfrac%7B27%7D%7B64%7D%20)
To solve for s, take the cube root of both sides.
![\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bs%5E3%7D%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B27%7D%7B64%7D%20%7D%20%20)
![s= \frac{3}{4}](https://tex.z-dn.net/?f=s%3D%20%5Cfrac%7B3%7D%7B4%7D%20)
feet
Answer:
y - 7 = -
(x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = -
and (a, b ) = (- 2, 7 ) , then
y - 7 = -
(x - (- 2) ) , that is
y - 7 = -
(x + 2)
Answer:
15 dimes
17 nickels
Step-by-step explanation:
Use a system of equations for this
n is nickels
d is dimes
n + d = 32
.05n + .10d = 2.35
solve first equation for n and plug this in the second equation
n = 32 - d
.05(32-d) + .10d = 2.35
1.6 - .05d +.10d = 2.35
1.6 + .05d = 2.35
.05d = .75
d = 15
n + 15 = 32
n = 17
Each face of the cube has an area of 4cm^2 (2*2 = 4). A cube has six faces so the total surface area is 24cm^2 (4cm^2*6).
-4x+7=2y-3
Put this in y=mx+b
-4x+10=2y
Switch it around
2y=10-4x
Put it in y=mx+b
2y=-4x+10
Divide by 2
y=-2x+5