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3 years ago

Greatest Common Factor (GCF) 1. 12a - 27

Mathematics

1 answer:

Ilya [14]3 years ago

8 0

Answer:

Step-by-step explanation:

The factors of 12a are ...

2×2×3×a

The factors of 27 are ...

3×3×3

The only common factor is 3.

_____

12a -27 = 3(4a -9)

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6 multiplication problems that ar involved in the solving of 325×89

gogolik [260]

325*89.1

Let's decompose this into:

325 = 300 + 25

89.1 = 80 + 9 + 0.1

Then we have the multiplication:

(300 + 25)*(80 + 9 + 0.1)

Let's distribute the multiplication:

300*80 + 300*9 + 300*0.1 + 25*80 + 25*9 + 25*0.1

So now we have 6 multiplications that are a lot easier to solve than the initial one that we had.

Then the list of six multiplications involved in solving this problem are:

300*80 = 24,400

300*9 = 2,700

300*0.1 = 30

25*80 = 2,000

25*9 = 225

25*0.1 = 2.5

Now we add all of those and get:

325*89.1 = 24,400 + 2,700 + 30 + 2,000 + 225 + 2.5 = 28,957.5

4 0

3 years ago

Question:

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

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

I need help! Please help me on this!

LuckyWell [14K]

i just got trolled on brainly how did this happen hffghjjkksk

8 0

3 years ago

Pls pls help me ASAP

Maru [420]

Answer:

1. 27.5 in.^2

2. 360 in.^2

Step-by-step explanation:

A = bh/2

A = (4 + 7)(5)/2

A = 27.5 in.^2

A = bh/2

A = (35 + 13)(15)/2

A = 360 in.^2

6 0

3 years ago

In triangle abc ab=5 ac=14 find the measure of angle c

stiv31 [10]

I believe the answer is C = 20

3 0

3 years ago