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gulaghasi [49]
3 years ago
8

The ratio of similarity between two figures is 4/3.If one side of the largerfigure is 12 cm long,what is the lengthof correspond

ing side in the smallet figure?
Mathematics
2 answers:
Lelu [443]3 years ago
7 0

Answer:

The corresponding side in the smaller figure is 9 cm

Step-by-step explanation:

Notice that you can use proportions to solve this problem:

The ratio from large image to smaller is: Larger/smaller = 4/3.

Therefore use this type of proportions to find the length of the corresponding side to 12 cm in the smaller figure:

\frac{4}{3} =\frac{12 \,cm }{smaller} \\smaller\,(\frac{4}{3}) = 12\,cm\\smaller=\frac{3* 12\,cm}{4} \\smaller=\frac{36\,cm}{4} \\smaller=9\,cm

DiKsa [7]3 years ago
3 0

Answer:

9

Step-by-step explanation:

also, you meant smaller not smallet right

4/3=12/x

x=9

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<em>Question:</em>

<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>

Answer:

Countries \geq 50 + 5y

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Step-by-step explanation:

Given

Countries = 50 ------ at least

Yearly =5

Required

Represent as an inequality

"at least" means \geq

So the countries he has visited can be represented as thus;

Countries \geq 50

If

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y years would be 5y countries

So, in y years; he'd have visited

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To determine the value of y.

We have that

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<em>Substitute 195 for Countries</em>

195 \geq 50 + 5y

<em>Collect Like Terms</em>

195 - 50 \geq 5y

145 \geq 5y

<em>Divide through by 5</em>

145/5 \geq y

29 \geq y

<em>Reorder</em>

y \leq 29

This means that; he'll visit all countries in at most 29 years' time

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A box has five items, three good and two defective. three items are selected at random without replacement. let x be the number
user100 [1]
This problem can be solved from first principles, case by case.  However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.

Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then 
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
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A+B=total number of items
a+b=number of items selected

Given:
A=2
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PMF:
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Therefore the 
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{(0, 0.1),(1, 0.6),(2, 0.3)}

7 0
2 years ago
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