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2 years ago

-2/3(1.5×0.25+5/4)-5/6

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

4 0

Answer:

0.903

Step-by-step explanation:

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4. If the sides of a square measure 9V3 units, then find the length of the diagonal.

Nitella [24]

Answer:

Step-by-step explanation:

To find the diagonal, use Pythagorean theorem,

diagonal² = side² + side²

= (9√3)² + (9√3)²

= 9²(√3)² + 9²(√3)²

= 81*3 + 81*3

= 243 + 243

= 486

diagonal = √486 = 22.05 units

7 0

2 years ago

1,459,327 rounded to the nearest hundred

Ratling [72]

Answer:

1,459,000

Step-by-step explanation:

8 0

2 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

2 years ago

Write 4 3/7 as a decimal.

Citrus2011 [14]

Hi!

There are two ways to do this.

1. Start with the first part of the decimal, (4.) then divide 3/7 to get the second part.

3/7 = 0.43

4.43

2. Convert the mixed number 4 3/7 to a fraction.

4 x 7 = 28
28 + 3 = 31

31/7

Now convert that into a decimal.

31/7 = 4.43

The answer is 4.43

Hope this helps! :)

3 0

2 years ago

Read 2 more answers

Nina bought 3.45 pounds of walnuts and 1.83 pounds of almonds. How many more pounds of walnuts did she buy than almonds

tia_tia [17]

Answer:

subtract them

Step-by-step explanation:

8 0

2 years ago