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Law Incorporation [45]
4 years ago
9

The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with b

ase 12.
a. 1 1/3
b. 2/3
c. 1 1/4
d. 3/4
Mathematics
2 answers:
Oksi-84 [34.3K]4 years ago
7 0
9:12=\frac{9}{12}=\frac{9:3}{12:3}=\boxed{\frac{3}{4}}\leftarrow\boxed{d.}
Dennis_Churaev [7]4 years ago
3 0
\sf You \ have \ to \ set \ it \ as \ fraction \ then \ simplify. \\  \\  \frac{9}{12}  \\  \\ GCF = 3  \\  \\ Reduce \ by \ dividing \ both \ denominator \ and \ numerator \ by \ 3. \\  \\  \dfrac{9 \div 3}{12 \div 3}  \\  \\ =  \frac{3}{4}
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Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:

V2 = 4/3 x π x (1/7r)^3

V2 = 4/3 x π x 1/343r^3

V2 = (4πr^3)/1029

Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

Therefore, the volume of the sphere is multiplied by 1/343.

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