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soldi70 [24.7K]

3 years ago

6

Multiply. Answers should be in simplest form. 3/7 x10

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

4.28

I think this it. I used a calculator online to help solve this problem. I don't know what the answer is but I used an online calculator to solve the problem. I rounded the answer to the nearest hundreth.

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HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

. Jumbo bought 5 books, each with a whole-number price.

Trava [24]

Mean is average. Multiply total books by the mean to find the total cost:

5x 10 = $50 total.

Subtract the highest and lowest prices to find the total of the remaining 3 books.

50 - 15-6 = 29

The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:

29-8 =21

Now you need a price lower than the median but higher than the lowest cost so that has to be 7

Subtract 7 from 21 to get the cost of the last book 21-7 = 14

The price of the remaining books is $7 and $14

3 0

3 years ago

Read 2 more answers

What fraction of 6 is 2 1/4 ?

SpyIntel [72]

Answer:

13 1/2

Step-by-step explanation:

this is surely the answer. 13.5

8 0

3 years ago

Pls help ! MAPPING SHAPES<br> A) only sequence a <br> b) only sequence b <br> c)both<br> d) neither

MakcuM [25]

The answer is D welcome I just knew it In my brain

6 0

2 years ago

What is the height of a triangle with base 16cm and area 120 cm

Zarrin [17]

Answer:

the height is 32cm

Step-by-step explanation:

6 0

3 years ago