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2 years ago

Express the decimal: 0.60 as a fraction

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

5 0

Answer:

3/5

Step-by-step explanation:

Delicious77 [7]2 years ago

3 0

Answer:

$\frac{60}{100}$

or more simplified:

$\frac{6}{10}$

or more-more simplified:

$\frac{3}{5}$

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Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

2 years ago

I need help to evaluate the function for the given value of x for y=2×5x; x=2

mars1129 [50]

Answer:

y= 20

Step-by-step explanation:

y=2*5x

Let x =2

y = 2*5 (2)

y = 10*2

y= 20

8 0

2 years ago

A circle with area 9pi has a sector with a central angle of 1/9pi radians. What is the area of a sector? Either enter an exact a

sveta [45]

Answer:

Step-by-step explanation:

5 0

3 years ago

Help please asapppppppp

Schach [20]

Answer:

see below

Step-by-step explanation:

Order of operations is parenthesis, exponents, multiplication, division, addition, subtraction.

since there are no exponents in this problem the next step is -2(2.2)

Simplify the previous step and you get -4.4

final answer is -7.6 - 4.4 = -12

5 0

3 years ago

Please help me ASAP

Natasha2012 [34]

Is is b I am sure that is the right

7 0

2 years ago