41÷836 show your work

QUICK AND PLEASE DON'T USE SIN CON OR TAN IN YOUR PROOF!

andre [41]

The answer is b your welcome!!!!

8 0

3 years ago

Please help with this problem, I don't understand how to work it out.

balandron [24]

The way to work it is to make a table in Excel (or equivalent program) with the data of budget for every year.

This is how it should look:

year budget 
 0 265.1 
 1 277.5 
 2 288.9 
 3 303.0
 4 311.3
 5 320.4
 6 334.5
 7 351.2
 8 368.2 
 9 381.7

Select both columns and inser a scatter plot graph (menu, insert, graph, scatterplot).

Now change the design of the graph to include the model. In this case I got y = 12.724 x + 262.92

x represents the number of year after 1990 and y represents the budget.

Now you can use the model to calcualte the budget when you know the year and to calculate the year when you know the budget.

For year 2001, x = 11 and y = 12.724 (11) + 262. 92 = 402.88 (which is 402,880)

This is the same year for which the budget exceeds 400,000.

6 0

4 years ago

This isn't something specific I need to know for school, I'm just curious. I know the most commonly used variables are x, y, and

andre [41]

Answer:

Any letter you want

Step-by-step explanation:

The letters used for variables don't matter. What matters is what the variables represent: their numerical value. Variables are just to help identify what needs solving. Other common variables are a, b, and c which are found frequently in trigonometry. To answer your question, there are no "next letters." You can use any letter you'd like as a variable because it holds the same numerical value. Basically, the whole alphabet is at your disposal.

4 0

3 years ago

Use a 30degrees and -60degrees right triangle to find the exact value of the following trigonometric expression. Cot 30 degrees=

LuckyWell [14K]

The dirty little secret about trig is students mostly just need to understand the 45/45/90 right isosceles triangle and the 30/60/90 triangle, which is half an isosceles triangle.

I'm sure you have seen it many times already, so I'll remind you in the 30/60/90 right triangle the sides opposite those angles are respectively in the ratio $1: \sqrt{3}:2$ . Remember the smallest side is always opposite the smallest angle, etc. These make a right triangle because

$1^2 + \sqrt{3}^2 = 2^2$

So in this hypotenuse 2 triangle, the length 1 side is opposite the 30 degree angle and the $\sqrt{3}$ side is adjacent to it.

We could jump right to the answer but let's enumerate all the trig functions. Really you should memorize the sine and cosine so you can get these quickly.

$\cos 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{hypotenuse} } = \dfrac{\sqrt{3}}{2}$

$\sin 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{hypotenuse} } = \dfrac{1}{2}$

$\tan 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{adjacent} }= \dfrac{1}{\sqrt{3}} =\dfrac{\sqrt{3}}{3}$

$\cot 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{opposite}} = \dfrac{\sqrt{3}}{1} =\sqrt{3}$

$\sec 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{adjacent}}= \dfrac{2}{\sqrt{3}}$

$\csc 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{opposite}}= \dfrac{2}{1} = 2$

We want the cotangent, another way to get it is

$\cot 30^\circ = \dfrac{\cos 30^\circ}{\sin 30^\circ} = \dfrac{\sqrt{3}/2}{1/2} = \sqrt{3}$

8 0

3 years ago

Read 2 more answers

mayelle earns $18000 a year. After a raise, she earns $19500. Find the percent change and if it’s a decrease or increase

Aneli [31]

Ok, it's all pretty much like the "$50 coat is on sale for $35".

If the regular price of the coat is $50 and now it is on sale for $35, then it will cost you $15 less, like this: 
$50 - $35 = $15 

You could also say the coat was discounted by $15, or the coat was reduced by $15, or you'll save $15 if you buy that coat ($50 - $15 = 35). 

You could also put it in terms of percentages. If the discount is $15, you can figure that $15 is what percent of the regular price, like this: 
$15 = X% of $50 
$15 = X% x $50 (divide both sides by 50 to isolate X) 
15/50 = X% 
.30 = X% (multiply by 100 to convert to a non-decimal) 
30% = X 

So, you can say all of the following and they all mean the same thing: 
1. the $50 coat is on sale for $35 
2. the $50 coat is discounted by $15 
3. the $50 coat is reduced by $15 
4. you'll save $15 if you buy this coat 
5. the $50 coat is on sale for 30% off 
6. the $50 coat is discounted by 30% 
7. you'll save 30% if you buy this coat 
8. 30% savings! 
9. Save 30%! 

So, how does that apply to the $18,000 a year? Ok, if Shelby earns $18,000 this year and then earns $19,500 next year, then she gets an additional $1,500 ($19,500 - $18,000 = $1,500). In the coat problem, everything was discounted, on sale, going down. In this problem, everything is going up, increasing. 

You know the dollar increase is $1,500. To figure the percent increase, you need to figure out that $1,500 is what % of $18,000. Remember, it's not the $19,500 that was increased; it was an increase on the $18,000: 
$1,500 = X% of $18,000 
1,500/18,000 = X% 
.083333 = X% 
8.3333% = X 

One more: If Shelby get a 10% increase in her salary at the end of one year, that's the same as saying that Shelby gets her salary plus she gets 10% more, like this: 

$18,000 + (10% of $18,000) = 
$18,000 + $1,800 = 
$19,800 end of first year 

For the second year, her salary begins at $19,800 and increases 10%, like this: 
$19,800 + (10% x $19,800) = 
$19,800 + $1,980 = 
$21,780 end of second year 

You can do it from here.

8 0

3 years ago

Read 2 more answers