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3 years ago

8

A store advertises that customers can take 25 percent off original price and then take an extra 10 percent off is this same as 3

5 percent off discount?

1 answer:

german3 years ago

6 0

It depends on how they checkout the item

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1) At AJ Welding Company they employ 253 people, 108 employees receive 2 weeks of paid 1) _______ vacation each year. Find the r

Fantom [35]

Answer:

108 : 145

Step-by-step explanation:

253 - 108 = 145

Ratio of those who receive 2 weeks of paid vacation is 108

Ratio of those paid vacation is not 2 weeks is 145

108 : 145

5 0

3 years ago

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

Simplify the expression below.<br> 5x² (3x + 2)

Westkost [7]

Step-by-step explanation:

$5x^2(3x+2)$

Distribute into 5x² into (3x +2).

$15x^3+10x^2$

The simplified expression is <em>15x³ + 10x²</em>

3 0

3 years ago

Read 2 more answers

I will give u brainliest

Dmitry_Shevchenko [17]

Answer:

1 & 2 = Right Triangles

3 & 4 = Not Right Triangles

Step-by-step explanation:

Solved Using Pythagorean Theorem:

1) $9^{2} + 12^{2}$ = 225

$15^{2}$ = 225

2) $15^{2} + 36^{2}$ = 1521

$39^{2}$ = 1521

3) $10^{2} + 26^{2}$ = 776

$28^{2}$ = 784

4) $10^{2} + 12^{2}$ = 244

$16^{2}$ = 256

3 0

3 years ago

Sam's Mom makes sandwiches, s, for lunch everyday for his brothers and sisters. There are 15 slices of bread, b, left in the pac

ArbitrLikvidat [17]

Answer:

b= independent S=dependent

7 0

2 years ago