Answer :
Let's solve the question step-by-step:
1. Understand the given formula: We are given the equation [tex]\( f = c \cdot d^3 \)[/tex].
2. Identify known values:
- [tex]\( f = 450 \)[/tex]
- [tex]\( d = 10 \)[/tex]
3. Substitute the known values into the formula:
- Substitute [tex]\( f = 450 \)[/tex] and [tex]\( d = 10 \)[/tex] into the equation [tex]\( f = c \cdot d^3 \)[/tex].
4. Rearrange the formula to find [tex]\( c \)[/tex]:
- The equation becomes [tex]\( 450 = c \cdot 10^3 \)[/tex].
5. Calculate [tex]\( 10^3 \)[/tex]:
- [tex]\( 10^3 = 10 \times 10 \times 10 = 1000 \)[/tex].
6. Solve for [tex]\( c \)[/tex]:
- Now we have the equation [tex]\( 450 = c \cdot 1000 \)[/tex].
- To find [tex]\( c \)[/tex], divide both sides by 1000:
[tex]\[
c = \frac{450}{1000} = 0.45
\][/tex]
7. Identify the correct option:
- The value of [tex]\( c \)[/tex] is 0.45, which corresponds to option F.
Therefore, the correct answer is F. 0.45.
1. Understand the given formula: We are given the equation [tex]\( f = c \cdot d^3 \)[/tex].
2. Identify known values:
- [tex]\( f = 450 \)[/tex]
- [tex]\( d = 10 \)[/tex]
3. Substitute the known values into the formula:
- Substitute [tex]\( f = 450 \)[/tex] and [tex]\( d = 10 \)[/tex] into the equation [tex]\( f = c \cdot d^3 \)[/tex].
4. Rearrange the formula to find [tex]\( c \)[/tex]:
- The equation becomes [tex]\( 450 = c \cdot 10^3 \)[/tex].
5. Calculate [tex]\( 10^3 \)[/tex]:
- [tex]\( 10^3 = 10 \times 10 \times 10 = 1000 \)[/tex].
6. Solve for [tex]\( c \)[/tex]:
- Now we have the equation [tex]\( 450 = c \cdot 1000 \)[/tex].
- To find [tex]\( c \)[/tex], divide both sides by 1000:
[tex]\[
c = \frac{450}{1000} = 0.45
\][/tex]
7. Identify the correct option:
- The value of [tex]\( c \)[/tex] is 0.45, which corresponds to option F.
Therefore, the correct answer is F. 0.45.
