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3 years ago

7

Select the three inequalities that are true.

2 answers:

Komok [63]3 years ago

7 0

A, C and E. 1 in the hundredths place is less than the 7, the first in c has a full number and E has a 2 in the tens and not the hundredths.

Gennadij [26K]3 years ago

3 0

A is correct
C is correct
E is correct

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A rhombus has its diagonals 7cm and 6 cm whats its area

ipn [44]

$\large\frak{ Given :}$

Diagonal of a rhombus = 7 cm and 6 cm

$\large\frak{Find:}$

Area of a rhombus

$\large\frak{Explanation :}$

$\small\tt Area = \frac{1}{2}× d¹ × d²$

<u>Where,</u>

d¹ = length of diagonal 1
d² = length of diagonal 2

$\implies \small\tt{ \frac{1}{2} \times 7 \times 6}$

$\implies\small\tt{ \frac{1}{2} \times 42 }$

$\implies \small\tt{Area = 21 {cm}^{2} }$

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2 years ago

5692 in standard form

Mamont248 [21]

Answer:

5.692 × 103.

Step-by-step explanation:

8 0

3 years ago

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Which pair represents equivalent ratios?

TEA [102]

Answer:

D

Step-by-step explanation:

We can test each pair making each ratio into its simplest form.

For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.

For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.

For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.

For D, 4/10=2/5, and 12/30=2/5. They are equivalent.

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2 years ago

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Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

Now, according to the Commutative property of Addition:

For any two numbers $a$ and $b$ :

$a+b = b+a$

So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

$=\frac{214}{100} + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100} + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39$

Also,

$\frac{5}{20} + 2.14 = \frac{5}{20} + \frac{214}{100}$

$= \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100} + \frac{214}{100} \\ \\= 0.25 + 2.14 \\ \\ = 2.39$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

For any three numbers $a$ , $b$ and $c$

$a + (b+c) =(a+b) + c$

So, for $2.14$ , $7.25$ and $\frac{5}{20}$

The Left hand side:

$a + (b+c)$

$2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})$

$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

$= 9.39 + \frac{5 \times 5 }{20 \times 5}$

$= 9.39 + \frac{25}{100}$

$= 9.39 + 0.25$

$= 9.64$

Thus,

$(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Associative Property of Addition is satisfied.

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3 years ago

Write the decimal as a fraction 0.12

Juli2301 [7.4K]

The answer is 12/100. This is because the 12 is a 100 decimal place.

7 0

4 years ago

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