All categories

3 years ago

Erin wants to buy several shirts and pairs of pants.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

8 0

Answer:

i don't

know math

Step-by-step explanation:

You might be interested in

Find all solutions of each equation on the interval 0 ≤ x < 2π.

Korvikt [17]

Answer:

$x = 0$ or $x = \pi$ .

Step-by-step explanation:

How are tangents and secants related to sines and cosines?

$\displaystyle \tan{x} = \frac{\sin{x}}{\cos{x}}$ .

$\displaystyle \sec{x} = \frac{1}{\cos{x}}$ .

Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, $\sin^{2}{x} = 1 - \cos^{2}{x}$ . Therefore, for the square of tangents,

$\displaystyle \tan^{2}{x} = \frac{\sin^{2}{x}}{\cos^{2}{x}} = \frac{1 - \cos^{2}{x}}{\cos^{2}{x}}$ .

This equation will thus become:

$\displaystyle \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} \cdot \frac{1}{\cos^{2}{x}} + \frac{2}{\cos^{2}{x}} - \frac{1 - \cos^{2}{x}}{\cos^{2}{x}} = 2$ .

To simplify the calculations, replace all $\cos^{2}{x}$ with another variable. For example, let $u = \cos^{2}{x}$ . Keep in mind that $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .

$\displaystyle \frac{1 - u}{u^{2}} + \frac{2}{u} - \frac{1 - u}{u} = 2$ .

$\displaystyle \frac{(1 - u) + u - u \cdot (1- u)}{u^{2}} = 2$ .

Solve this equation for $u$ :

$\displaystyle \frac{u^{2} + 1}{u^{2}} = 2$ .

$u^{2} + 1 = 2 u^{2}$ .

$u^{2} = 1$ .

Given that $0 \le u \le 1$ , $u = 1$ is the only possible solution.

$\cos^{2}{x} = 1$ ,

$x = k \pi$ , where $k\in \mathbb{Z}$ (i.e., $k$ is an integer.)

Given that $0 \le x < 2\pi$ ,

$0 \le k$ .

$k = 0$ or $k = 1$ . Accordingly,

$x = 0$ or $x = \pi$ .

8 0

2 years ago

Read 2 more answers

2q+10=7q how do i break this down to get the answer

krok68 [10]

So subtract 2q from both sides.
This will cancel out the 2q on the left.
So the equation right now should be 10=5q.
Now divide each side by 5.
10/5=2
2=q.
That's the answer! Hope this helped!!

7 0

3 years ago

Read 2 more answers

Refer to the attachment and solve hlo :(

olya-2409 [2.1K]

Answer is -50/4 hope it’s clear

7 0

2 years ago

Take apart the number to make a 10. Then subtract.

Licemer1 [7]

Answer:

This is one of a variety of "subtraction solutions"--basically a different way to subtract by breaking numbers down into 10-digit chunks. It's not especially helpful for small subtraction problems, but as math gets more complicated, this method will come in handy.

Step-by-step explanation:

Here's an example: Jim had a bag of 15 jelly beans. He eats 8. How many jelly beans does he have left? Take apart the number to make a 10. Then subtract.

Here, you need to "take apart" the 8 to make your 15 jelly beans 10, then you subtract the remainder of 8 to get your solution. In other words,

--"take apart" 8 into 5 and 3 (because you're going to need a 5 to make 15 into 10). 15 minus 5 equals 10. HOORAY! You have your 10. Now, subtract the remaining 3. 10 minus 3 equals 7. Huzzah--your final answer!

On paper, the problem looks like this:

15 - 8 (5, 3) = ?

15 - 5 = 10

10 - 3 = 7

So...15 - 8 = 7

4 0

3 years ago

What are the coordinates of the center of the circle shown below? x^2+y^2-12x-6y+9=0

blondinia [14]

The correct answer is (6,3)
hope i helped you out in some type of way :)

3 0

2 years ago