Answer:
384 ft²
Step-by-step explanation:
Alrighty! The volume of a cube is V = a³. The equation for the surface area of a cube is 6a². The key number here will come with finding what a is. Here, we are already given the volume: 512 ft³. By working backwards a little we can solve for the variable a using the volume.
Volume = a³
512 = a³
Here we need to isolate the variable a in order to solve for it. In order to do this we must figure out a way to move the cube³ over. We can do this by cube rooting 512!
512 = a³
∛512 = a
The cubed root of 512 = 8 thus:
8 = a
Now we that we have solved for the variable a, we can plug this into our equation for the surface area of a cube.
SA = 6a²
a = 8
SA = 6(8)²
Solving exponents comes first naturally. 8² = 64
SA = 6(64)
SA = 384
Ta-da! Your surface area is 384 ft².
The answer is B i think. im sorry if im wrong this isnt really my specialty.
Multiply it by 16/5, or the reciprocal
An exterior angle equals the sun of the two opposite inside angles:
5x = 120 + x
Subtract 1 x from both sides:
4x = 120
Divide both sides by 4:
X = 30
The answer is D. 30
Option A, cos(57) = x/51
There's a really good mnemonic for remembering how trigonometry works: SOH CAH TOA
Sin = opposite/hypotenuse (SOH)
Cos = adjacent/hypotenuse (CAH)
Tan = opposite/adjacent (TOA)
In this scenario, we have to use cos(57) since 'x' is the adjacent side to the angle.
Since cos = adjacent/hypotenuse, we know that cos(57) = x/51.
Let me know if you need any further explanation.
-T.B.
