Question 1:
By definition, euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges
Substituting values we have:
21 + V = 49 + 2
Clearing V we have:
V = 49 + 2-21
V = 30
Answer:
the missing number is:
A. 30
Question 2:
The volume of the cube is:
V1 = L1 ^ 3 = 512
The volume of the new cube is:
V2 = L2 ^ 3 = 3375
V2 = (kL1) ^ 3 = 3375
V2 = k ^ 3 (L1) ^ 3 = 3375
V2 = k ^ 3V1 = 3375
Therefore, the scale factor will be:
k ^ 3 = V1 / V2
k ^ 3 = 512/3375
k = (512/3375) ^ (1/3)
k = 8/15
Answer:
the scale factor of a cube with a volume of 512m ^ 3 to a cube with a volume of 3,375 m * 3 is:
A. 8:15
Answer:

Step-by-step explanation:
Let's start by factoring everything:


Now, you can cancel out some terms:

Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:


Hope this helps!
5k²-8k-45k+72 = 5k²-53k+72
Answer: 5k² - 53k + 72
Answer:
Is there a diagram that could help??
Step-by-step explanation:
Answer:
14.4
Step-by-step explanation:
sin x = 24/30
x = sin^-1 (24/30) = 53.13
sin 53.13 = x/18
x = sin 53.13 x 18 = 14.4