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Arisa [49]
3 years ago
6

There is a photo attached

Mathematics
1 answer:
natulia [17]3 years ago
6 0

You can use the sum of angles identities, then rearrange to put the result in the form of tangents.

\displaystyle\frac{\sin{(x+y)}}{\sin{(x-y)}}=\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}\\\\=\frac{\left(\frac{\sin{(x)}\cos{(y)}+\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}{\left(\frac{\sin{(x)}\cos{(y)}-\cos{(x)}\sin{(y)}}{\cos{(x)}\cos{(y)}}\right)}\\\\=\frac{\tan{(x)}+\tan{(y)}}{\tan{(x)}-\tan{(y)}}

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sin alpha = 7/25, alpha lies in quadrant ii, and cos beta = 2/5, beta lies in quadrant i. find cos(alpha-beta).
Ilia_Sergeevich [38]

Answer:

Therefore \cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}

Step-by-step explanation:

Given values are

\sin \alpha=\frac{7}{25}

\cos \beta=\frac{2}{5}

\sin^2x+\cos^2=1

\cos \alpha=\sqrt{1-\sin^2\alpha}

\cos \alpha=\sqrt{1-(\frac{7}{25})^2}

\cos \alpha=\sqrt{1-\frac{49}{625}}

\cos \alpha=\sqrt{\frac{576}{625}}

\cos \alpha=\frac{24}{25}

\sin \beta=\sqrt{1-\cos^2\beta}

\sin \beta=\sqrt{1-(\frac{2}{5})^2}

\sin \beta=\sqrt{1-\frac{4}{25}}

\sin \beta=\frac{\sqrt{21}}{5}

\cos(\alpha-\beta)=\cos\alpha\cos\beta+\sin\alpha\sin\beta

\cos(\alpha-\beta)=\frac{24}{25}\times\frac{2}{5}+\frac{7}{25}\times\frac{\sqrt{21}}{5}

\cos(\alpha-\beta)=\frac{48+7\sqrt{25}}{125}

7 0
2 years ago
On June 1st, Lucy & Bros received an order for 500 cupcakes. Lucy delivered the cupcakes to the client on June 25th. A $50 d
Verizon [17]

Answer:

The revenue will be recognized on the June 25th

Step-by-step explanation:

Data provided in the question:

Date on which the order for 500 cupcakes was received is <u>June 1st</u>

Date on which the order for 500 cupcakes was delivered is <u>June 25th</u>

Date on which the deposit of $50 was received is June 5th

Date on which the remaining $450 was received is June 30th

Now,

Revenue is always recognized as and when revenue generated and order completes.

Therefore,

In the given question, the order was delivered on June 25th

Hence,

The revenue will be recognized on the June 25th

8 0
2 years ago
2 more ASAP thanks for all the help btw
natta225 [31]

Answer: B

Step-by-step explanation:

It's the only one that's correct.

3 0
3 years ago
Read 2 more answers
In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at l
svetoff [14.1K]

Answer:   (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}, where \hat{p} = sample proportion, n = sample size.

Given: n=1025, \hat{p}=0.29

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)

\approx(0.25,\ 0.33)

Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)

5 0
3 years ago
Express 2x^2+8x+3 in the form 2(x+p)^2+q
e-lub [12.9K]

Answer:

2(x + 2)² - 5

Step-by-step explanation:

Given

2x² + 8x + 3

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x

= 2(x² + 4x) + 3

add/subtract ( half the coefficient of the x- term)² to x² + 4x

= 2(x² + 2(2)x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

with p = 2 and q = - 5

4 0
3 years ago
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