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ad-work [718]
2 years ago
10

Find the value of the variables in the simplest form

Mathematics
2 answers:
Papessa [141]2 years ago
6 0

Answer:

x = 15\sqrt{3} , y = 15

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = \frac{\sqrt{3} }{2} , cos60° = \frac{1}{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{30} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 30\sqrt{3} ( divide both sides by 2 )

x = 15\sqrt{3}

---------------------------------------------------------

cos60° = \frac{adjacent}{hypotenuse} = \frac{y}{30} = \frac{1}{2} ( cross- multiply )

2y = 30 ( divide both sides by 2 )

y = 15

777dan777 [17]2 years ago
5 0

Answer:

Step-by-step explanation:

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A bike shop marks up a hybrid bike from $200 to $330 and discounts a road bike from 330 to 200 by what you percent is the road b
erik [133]

Answer:

39.39%

Step-by-step explanation:

There's a nice little formula that is used to find percentage change which works regardless of if it's an increase or decrease.

Percent~Change = |\frac{New~Value~-~Original~Value}{Original~Value}| * 100

1 - Understanding the equation

The '|'s which are surrounding the fraction are absolute value symbols in mathematics,

Absolute value means the positive value of anything inside

<u>Examples</u>:

| -8 | = 8

| 8 |  = 8

and

| -2 | = 2

| 2 |  = 2

the * 100 means you multiply (the * symbol means multiply) by 100.

We do this to get it into a percent.

3 - Assign numbers to the values from our equation

Original Value (What it changed from): 330

New Value (What it changed to): 200

3 - Plug in our values into our variables from our equationPercent~Change = |\frac{200-330}{330}| * 100 = |\frac{-130}{330}| = = |-0.39...| * 100 = 0.3939... *100 =

<em>Our percent change is 39.39%, and with our percent in which is discounted being the same, we have our answer.</em>

<em />

Hope this helps :)

7 0
3 years ago
A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t
Darya [45]

Answer:

120960

Step-by-step explanation:

Given that a  librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.  

This can be done in                                        6! ways

Now arrange the 4 books of Lincoln      

This can be done in                                        4! ways

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

Total no of ways = 6!(4!)(7) = 120960

3 0
3 years ago
Find the value of x.
VikaD [51]

Answer:

X = 9

okay If I'm wrong sry what's 9x3 it's 45 right ( me not using a caluctalter ) ( I didn't even spell that Right lol ) but anyways it's X=9

4 0
3 years ago
Shark Inc. has determined that demand for its newest netbook model is given by lnq−3lnp+0.004p=7ln⁡q−3ln⁡p+0.004p=7, where q is
olga2289 [7]
  <span>a) Differentiate both sides of lnq − 3lnp + 0.003p=7 with respect to p, keeping in mind that q is a function of p and so using the Chain Rule to differentiate any functions of q: 

(1/q)(dq/dp) − 3/p + 0.003 = 0 
dq/dp = (3/p − 0.003)q. 

So E(p) = dq/dp (p/q) = (3/p − 0.003)(q)(p/q) = (3/p − 0.003)p = 3 − 0.003p. 

b) The revenue is pq. 
Note that (d/dp) of pq = q + p dq/dp = q[1 + dq/dp (p/q)] = q(1 + E(p)), which is zero when E(p) = −1. Therefore, to maximize revenue, set E(p) = −1: 

3 − 0.003p = −1 
0.003p = 4 
p = 4/0.003 = 4000/3 = 1333.33</span>
8 0
3 years ago
Please help! ^^ <br>will give brainiest
ddd [48]
<u><em>3×10=30+1=31 is the true meaning and answer for this question.</em></u>
<u><em>Hope you good times!</em></u>
3 0
3 years ago
Read 2 more answers
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