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Vitek1552 [10]
2 years ago
15

You have read 4 of the books shown. Which choice shows 2 ways of writing the fraction of these books that you read?

Mathematics
2 answers:
Olegator [25]2 years ago
8 0
  • Total books read: 4
  • Total books in list: 12

So it can be shown as:

\sf \dfrac{read \ books}{total \ books \ in \ list}

\hookrightarrow \sf \dfrac{4}{12}

on simplifying

\hookrightarrow \sf \dfrac{1}{3}

So, option 1 is correct.

sergejj [24]2 years ago
5 0

First one

Let's find

  • Total read books=4
  • Total books=12

fraction:-

  • 4/12

Cancel by 4

  • 1/3

Hence verified

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aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0
3 years ago
What is the y-intercept of f (x) = 3.4’x?
klasskru [66]

Answer:

3

Step-by-step explanation:

Y intercept when x = 0

F(0) = 3 * 4^(0) = 3 * 1 = 3

5 0
1 year ago
Students were asked to name their favorite sport. Seven students chose soccer, nine chose basketball, four chose baseball, and f
timurjin [86]

Answer:

Total number of students= 7+ 9+4+5= 25

Tennis: total= 5:25= 1:5 (simplify by dividing both sides by 5

3 0
3 years ago
Read 2 more answers
What is the equation of the line in the graph?
Verizon [17]
Well, we can see that the y-intercept is (0, -4) which means that the line must be:

y=mx-4

And since only one answer has -4 as the y-intercept, y=x-4 is the answer :P
8 0
3 years ago
Read 2 more answers
Bob wants to put down new sod in his backyard except for the part set aside for his flower garden the diagram shows bobs backyar
zmey [24]

Answer:

Bob will need 235\ yd^{2} of sod

Step-by-step explanation:

step 1

Find the area of the backyard

A=20(14)=280\ yd^{2}

step 2

Find the area of the flower garden

A=5(9)=45\ yd^{2}

step 3

Find the difference

280\ yd^{2}-45\ yd^{2}=235\ yd^{2}

0 0
3 years ago
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