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3 years ago

List the following numbers from least to greatest. 45%, 0.6, 12 1/2

Mathematics

1 answer:

Harrizon [31]3 years ago

8 0

Answer:

45%, 1/2, 0.6, 12

Step-by-step explanation:

45% out of 100 would be 45.

1/2 Of 100 is 50

0.6 of 100 is 60

12 of 100 is 120

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–7 – (x + 3) = 12 solve for x

Drupady [299]

Answer:

Step-by-step explanation:

-7 -x - 3 = 12

-x - 10 = 12

-x = 22

x = -22

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4 years ago

Which direction is a clockwise rotation?

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Answer:right

Step-by-step explanation:

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Convert the following into fractions in their simplest form

sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

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3/5

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2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... = 2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

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3 years ago

1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

Step-by-step explanation:

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

Proof LHS → RHS

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

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4 years ago

Simplify the expression 5(2w+3)+6w

maria [59]

You have distribute the 5 into the 2 which is 10w +15 +30w.

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