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IrinaVladis [17]
3 years ago
11

Prove that 

cos 5x/sin17x-sin3x=-sin2x/cos10x" alt="cos 9x-cos 5x/sin17x-sin3x=-sin2x/cos10x" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
maria [59]3 years ago
8 0
Cos9x - cos5x = -2sin2x.sin7x
sin17x - sin3x = 2sin7x.cos10x 
so f(x) = \frac{-2sin2x.sin7x}{2sin7x.cos10x} =\frac{-sin2x}{cos10x}

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What would be the surface area of the figure..
valina [46]

Answer:

<h2>           503 cm²</h2>

Step-by-step explanation:

The surface area of the figure is sum of areas of two triangles and three ractangles:

A=2\cdot\frac12\cdot10\cdot8,3+3\cdot10\cdot14=83+420=503\,cm^2

8 0
3 years ago
A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep
daser333 [38]

Answer:

Probability = \frac{7}{253}

Step-by-step explanation:

Given

Orange = 7

Green = 6

White = 1

Black = 7

Yellow = 2

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

P(Yellow) = \frac{n(Yellow)}{Total}

P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}

P(Yellow) = \frac{2}{23}

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

P(Orange) = \frac{n(Orange)}{Total - 1}

P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}

P(Orange) = \frac{7}{22}

The required probability is calculated as thus:

Probability = P(Yellow) * P(Orange)

Probability = \frac{2}{23} * \frac{7}{22}

Probability = \frac{14}{506}

Probability = \frac{7}{253}

4 0
3 years ago
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SA = 2π(70) + 2π(49)

SA = 140π + 98π

SA = 238π

SA = 747.7 cm²

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Answer:

2a

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Step-by-step explanation:

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