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2 years ago

Write the recurring decimal 0.05 as a fraction in its simplest form

Mathematics

2 answers:

Elden [556K]2 years ago

7 0

Answer:

Step-by-step explanation:

let the fraction be a

a*100.....=0.05*100

100a......=05.00

99a....=0.05

100a= 5.00

99a= 0.05

a= 4.95/99

lidiya [134]2 years ago

6 0

Answer:

1/20

Step-by-step explanation:

Step 1: Write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

In this case, 0.05 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. This will make it 5/100

Step 2: Then, this fraction can be simplified. 5/100 = 1/20

Thus, 0.05 as a fraction is written as 1/20

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(2sin60°)(3tan60°)—(4tan45°)(2cos45°)

Dimas [21]

Answer:

$9 - 4\sqrt{2}$

Step-by-step explanation:

sin60° = $\frac{\sqrt{3} }{2}$

tan60° = $\sqrt{3}$

tan45° = 1

cos45° = $\frac{1}{\sqrt{2} }$

(2sin60°)(3tan60°) - (4tan45°)(2cos45°)

now substitute the values of each trigonometrical angles

$(2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )$

$\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )$

$3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }$

$9 - 4 *\frac{2\sqrt{2} }{2}$

$9 - 4 * \sqrt{2}$

$9 - 4\sqrt{2}$

5 0

3 years ago

How do I graph this? Please use a picture

Leto [7]

You first have to turn 2x + 4y = -8 into y = mx + b before graphing. To do this, you subtract 2x from the left side of the equation because inverse operations. This will bring 2x to the right side. Now, you will have 4 = -2x + 8. However, you cannot have a number with y. Therefore, you must divide -8 and 2 by 4. You will get y = -1/2 x + 2 as your equation.
To graph -1/2x + 2, you must remember rise/run. Since it is NEGATIVE -1/2, your slope will go downwards (1 down, 2 across) starting from y = 2.