Geometry question please help meeee

Mathematics

1 answer:

garik1379 [7]3 years ago

6 0

Answers:
Scale factor is 8:5
Area ratio is 64:25
Volume ratio is 512:125

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Explanation:

Divide the second surface area (375) over the first surface area (960) to get
375/960 = 0.390625
Then take the square root of this to get
sqrt(0.390625) = 0.625
The decimal value 0.625 converts to the fraction 5/8, which turns into the scale factor 8:5

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Once you know the scale factor, you can square both sides to get the area ratio
8:5
8^2:5^2
64:25

The area ratio is 64:25

Then go back to the scale factor, and cube each part to get the volume ratio
8:5
8^3:5^3
512:125

The volume ratio is 512:125

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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The

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a = interest rate of first CD

b = interest rate of second CD

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$\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft$

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