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Tom [10]
3 years ago
8

Please help me figure this out

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0

Answer:

True          

(1) You can prove two triangles are similar using AA similarity.

(2)If side length of similar figure have ration \frac{m}{n} then the ratio of surface areas will be:\frac{m^2}{n^2}

(3)If side length of similar figure have ratio of \frac{2}{3} then perimeter will have ratio:\frac{2}{3}.

False:

(1)If side length of similar figure have ration \frac{m}{n} then the ratio of Volumes will be:\frac{m^3}{n^3}

(2)If side length of similar figure have ration \frac{m}{n} then the ratio of surface area  will be:2\frac{m}{n}

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Express each ratio as a fraction in the simplest form.<br>1) 55 footballs to 60 footballs​
liubo4ka [24]

Answer:

11/12

Step-by-step explanation:

Ratio: 55:60

Find the number that fits into both of them, 5

Divide each number

11:12

Change into a fraction

11/12

Hopefully that helps. Please give me brainliest as I have never gotten it before :)

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Mashcka [7]

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'

b. After 8 bounces we can apply the previous formula with n = 8 to get

h(8)=(\frac{17}{20})^8\times 72' = 19.62'

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous h(n)increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

1>(\frac{17}{20})^n\times 72 Let's first isolate the fraction by dividing by 72.

(\frac{17}{20})^n  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

-(0.16)n < - 4.27 \rightarrow n>26.31 Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

7 0
3 years ago
Help asap!!! 50 points total if u get big brain! elect the expressions that are equivalent to 10 + 2x + 5y + 3x.
andrew-mc [135]

Answer:

D and E

Step-by-step explanation:

Explanation is in photo

4 0
2 years ago
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The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$
babymother [125]

You're given

<em>x</em> + <em>y</em> + <em>z</em> = 165

7<em>x</em> = <em>n</em>

<em>n</em> = <em>y</em> - 9

<em>n</em> = 9 + <em>z</em>

and you want to find <em>xyz</em>.

Solve the last three equations for <em>x</em>, <em>y</em>, and <em>z</em> :

7<em>x</em> = <em>n</em>   →   <em>x</em> = <em>n</em>/7

<em>n</em> = <em>y</em> - 9   →   <em>y</em> = <em>n</em> + 9

<em>n</em> = 9 + <em>z</em>   →   <em>z</em> = <em>n</em> - 9

Substitute <em>x</em>, <em>y</em>, and <em>z</em> into the first equation and solve for <em>n</em> :

<em>n</em>/7 + (<em>n</em> + 9) + (<em>n</em> - 9) = 165

<em>n</em>/7 + 2<em>n</em> = 165

<em>n</em> + 14<em>n</em> = 1155

15<em>n</em> = 1155

<em>n</em> = 77

Now solve for <em>x</em>, <em>y</em>, and <em>z</em> :

<em>x</em> = 77/7 = 11

<em>y</em> = 77 + 9 = 86

<em>z</em> = 77 - 9 = 68

Then the product is

<em>xyz</em> = 11 • 86 • 68 = 64,328

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