Answer :
To find the value of [tex]\( c \)[/tex], we need to use the given equation [tex]\( f = c \cdot d^3 \)[/tex]. We're told that [tex]\( f = 450 \)[/tex] and [tex]\( d = 10 \)[/tex].
Let's solve for [tex]\( c \)[/tex] step by step:
1. Start with the equation:
[tex]\[
f = c \cdot d^3
\][/tex]
2. Substitute the given values:
[tex]\[
450 = c \cdot 10^3
\][/tex]
3. Calculate [tex]\( 10^3 \)[/tex]:
[tex]\[
10^3 = 10 \times 10 \times 10 = 1000
\][/tex]
4. Replace [tex]\( 10^3 \)[/tex] in the equation:
[tex]\[
450 = c \cdot 1000
\][/tex]
5. Solve for [tex]\( c \)[/tex]:
[tex]\[
c = \frac{450}{1000}
\][/tex]
6. Simplify the fraction:
[tex]\[
c = 0.45
\][/tex]
Therefore, the value of [tex]\( c \)[/tex] is [tex]\( 0.45 \)[/tex]. The correct answer is option A) 0.45.
Let's solve for [tex]\( c \)[/tex] step by step:
1. Start with the equation:
[tex]\[
f = c \cdot d^3
\][/tex]
2. Substitute the given values:
[tex]\[
450 = c \cdot 10^3
\][/tex]
3. Calculate [tex]\( 10^3 \)[/tex]:
[tex]\[
10^3 = 10 \times 10 \times 10 = 1000
\][/tex]
4. Replace [tex]\( 10^3 \)[/tex] in the equation:
[tex]\[
450 = c \cdot 1000
\][/tex]
5. Solve for [tex]\( c \)[/tex]:
[tex]\[
c = \frac{450}{1000}
\][/tex]
6. Simplify the fraction:
[tex]\[
c = 0.45
\][/tex]
Therefore, the value of [tex]\( c \)[/tex] is [tex]\( 0.45 \)[/tex]. The correct answer is option A) 0.45.
