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3 years ago

I need help with 5 & 6 please

Mathematics

1 answer:

amid [387]3 years ago

4 0

For number 5, the answer is B.
For number 6, the answer is B.
Y are welcome for the help and have a nice day!

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The area ratio of two similar soilds is 169:289 if the volume of the smaller solid is 689,858 cm what is the volume of the large

Rus_ich [418]

Answer: $1,542,682\ cm^3$

Step-by-step explanation:

Given

The ratio of two similar figures is 169:289

Suppose, their length ratio is x:y

$\therefore \dfrac{x^2}{y^2}=\dfrac{169}{289}\\\\\Rightarrow \dfrac{x}{y}=\dfrac{13}{17}$

Similarly, cube of the ratio is equal to the volume ratio

$\Rightarrow \left(\dfrac{13}{17}\right)^3=\dfrac{689,858}{V}\\\\\Rightarrow V=689,858\times \dfrac{17^3}{13^3}\\\\\Rightarrow V=314\times 17^3\\\\\Rightarrow V=1,542,682\ cm^3$

Thus, the volume of the larger solid is $1,542,682\ cm^3$

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2 years ago

Approximately how many times greater is 8.5×108 than 3.4×105 ? A 2.5 B 250 C 2,500 D 25,000

Vlada [557]

Solution:

we have been asked to find that , how many times one number is to the other given numbers.

To do this we will divide the larger number by the smaller number and the resulting number will be the answer of the question.

Here the larger number is $8.5\times10^8$

The smaller number is $3.4\times 10^5$

Now lets divide as follows

$\frac{8.5\times10^8}{3.4\times 10^5} =\frac{8.5}{3.4}\times 10^{8-5}\\ \\\frac{8.5\times10^8}{3.4\times 10^5} =2.5\times10^3=2500$

Hence the correct option is C.

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