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3 years ago

How to simplify 2 and 1 over 4 =

Mathematics

2 answers:

Luda [366]3 years ago

7 0

2 1/4 is simplified, mixed number is 9/4

notsponge [240]3 years ago

5 0

2 1/4 is already simplified but to make it into a mixed number the answer is 9/4

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Simplify using trigonometric identities 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

8 0

1 year ago

What is 5+5056541652541541343368486479848486463464843658 =?

Marta_Voda [28]

5.05654165E45 is your answer

6 0

2 years ago

What is the minimum number of triangles required to construct a 10 sided polygon

kupik [55]

10 Triangles fit inside a Decagon

Hope it helps :)

5 0

3 years ago

How can 17/20 and 7/4 make a sum of 9/10

Anika [276]

Answer:

the answer is $\frac{35}{20}$

Step-by-step explanation:

You have to find the common denominator in order to get the sum.

multiply 5 to $\frac{7}{4}$ and you get $\frac{35}{20}$

then to double check the sum, subtract it.

$\frac{35}{20}-\frac{17}{20}=\frac{9}{10}$

hope this make sense :/

6 0

3 years ago

Seventeen consecutive positive integers have a sum of 306. What is the sum of the seventeen consecutive integers that immediatel

Stels [109]

Answer:

595

Step-by-step explanation:

Each of the following 17 is 17 more than its corresponding integer in the 1st 17.

---> 306 + 289 = 595

8 0

3 years ago