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3 years ago

I need help fast

Mathematics

1 answer:

Pie3 years ago

4 0

YZ since they are in the same spot in the cong statement

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Hershey’s manufactures candy bars in batches of 800. The fixed cost is $20 per batch, with variable cost of $0.10x where x equal

SVETLANKA909090 [29]

The answer to this word problem is letter A. 200.

Here is the solution:
given:
candy bars in batches of 800
fixed cost of $ 20 per batch
variable cost of $ 0.10 x
x= the number of batches

<u>$ 20 ( 800 )</u> = <u>16, 000</u>
$ 0.10 (800) 80

= 200

3 0

3 years ago

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

Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. He made a table showing the total

Sidana [21]

Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is

Y= 5x+42

-5x +y =42

He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.

3 0

2 years ago

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Point D is in the interior of

Natalija [7]

Answer:

Angle ABC,

Step-by-step explanation:

Please give more detail to your question, this doesn't help at all...

6 0

3 years ago

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