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2 years ago

3 1/3 - 2 2/5 what is the answer?

1 answer:

7 0

One way to solve this is by changing the mixed numbers to improper functions.
3 1/3 = 10/3
2 2/5 = 12/5

The next step I would take is to find a common denominator.
10/3 = 50/15
12/5 = 36/15

Now we can solve the original equation:
50/15 - 36/15 = 14/15

Since 14/15 is already simplified this is your final answer.

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Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

Selena's gross annual salary as the Content editor of a fashion Magazine is Rs 40000 she contribute 10% of her salary. before sh

aalyn [17]

Answer:

Selena's annual intake home salary is $ 26,640.

Step-by-step explanation:

Since Selena's gross annual salary as the content editor of a fashion Magazine is $ 40,000, and she contributes 10% of her salary before she pays taxes to a retirement account, and 25% of her remaining salary is then consumed in state and federal taxes, To determine what is Selena's annual intake home salary if she also has to pay $ 30 for health Insurance each month, the following calculation must be performed:

40,000 - (40,000 x 0.1) - (40,000 x 0.9 x 0.25) - (30 x 12) = X

40,000 - 4,000 - 9,000 - 360 = X

26.640 = X

Therefore, Selena's annual intake home salary is $ 26,640.

7 0

3 years ago

Tiffany used 2/5 kg of cherries to bake pies Linda used 1/10 kg of cherries to bake Tarts how many kilograms of cherries did the

kari74 [83]

1/2 Kg of Cherries

Give both 2/5 and 1/10 a common denominator- 10
4/10 + 1/10 = 5/10 = 1/2

6 0

3 years ago

Please answer this correctly

erastovalidia [21]

The right answer is 40 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

8 0

3 years ago

Domino's offers the following “deals”:

tia_tia [17]

Answer: Deal one: 5x+10

Deal two: 6x

3 0

3 years ago