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2 years ago

Given the diagram below what is the length of RS or the distance across a body of water?

Mathematics

1 answer:

True [87]2 years ago

4 0

Answer:The answer is about 97.

Step-by-step explanation:

The answer is about 97 because math ._.

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Derive these identities using the addition or subtraction formulas for sine or cosine: sinacosb=(sin(a+b)+sin(a-b))/2

Sergeu [11.5K]

Answer:

The work is in the explanation.

Step-by-step explanation:

The sine addition identity is:

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

The sine difference identity is:

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

The cosine addition identity is:

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

The cosine difference identity is:

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

We need to find a way to put some or all of these together to get:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$ .

So I do notice on the right hand side the $\sin(a+b)$ and the $\sin(a-b)$ .

Let's start there then.

There is a plus sign in between them so let's add those together:

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

$=[\sin(a+b)]+[\sin(a-b)]$

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

There are two pairs of like terms. I will gather them together so you can see it more clearly:

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

$=2\sin(a)\cos(b)+0$

$=2\sin(a)\cos(b)$

So this implies:

$\sin(a+b)+\sin(a-b)=2\sin(a)\cos(b)$

Divide both sides by 2:

$\frac{\sin(a+b)+\sin(a-b)}{2}=\sin(a)\cos(b)$

By the symmetric property we can write:

$\sin(a)\cos(b)=\frac{\sin(a+b)+\sin(a-b)}{2}$

3 0

3 years ago

David bought a car for 5000$ for how much should he sell it if he wants 10% profit from it

BartSMP [9]

Answer:

Step-by-step explanation:

5,500$ lol

8 0

4 years ago

Read 2 more answers

PLEASE HELP ME!!.. 16 points!!.... change to scientific notation

Svetradugi [14.3K]

Answer:

6. 4.5×10⁴

7. 4.2×10^-3

8. 9.5×10^9

9. 1.3×10^-3

10. 3×10²

Step-by-step explanation:

start counting just after the dot . hope it helps

7 0

3 years ago

Read 2 more answers

HELP PLS ASAP -5 = 5/12a pls evaluate

Setler79 [48]

Answer:

a = -12

Remember that when a variable is times with a number, you divide the number on both sides.

When a variable is divided by a number, you multiply the number on both sides.

Hope this helps you. Thank you !!

6 0

3 years ago

Danielle's text messaging plan charges 5cents for each message over 600 in addition to a $13 base charge if she owes $19.70 for

dlinn [17]

19.70-13=6.7
6.7/0.05=134
600+134=734
So in April she sent 734 text messages

8 0

4 years ago