All categories

3 years ago

The difference between -89.2 and 56.7

Mathematics

2 answers:

OleMash [197]3 years ago

8 0

-33.5

To find the difference you need to subtract, so it would look like this

-89.2-56.7 which equals -33.5

Ber [7]3 years ago

5 0

Answer:

Step-by-step explanation:

-32.5

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

3 years ago

Read 2 more answers

(image is question) ................................

Nimfa-mama [501]

Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

6 0

2 years ago

PLEASE HELP WILL MARK BRAINLIEST!!!!!

trapecia [35]

The numbers inside the parenthesis is the value of x, uses the equation associated with the value of x and solve.

H(1) Since 1 fits 1≤x≤3 use x^3

x^3 1^3 = 1

h(1) = 1

h(4) 4 fits x >3, so use 5

h(4) = 5

5 0

2 years ago

Pure acid is to be added to a 10% acid solution to obtain 72 L of a 20% acid solution.

Crank

Answer:

Step-by-step explanation:

because 10 is 1/2 of 20 and 72/2 = 36

8 0

3 years ago

Send help 15 and 16 pls

lara [203]

Step-by-step explanation:

15. If f(x) = 20x, adding a $10 fee for cleaning would be

g(x) = 20x + 10

The graph of g(x) is shifted 10 units up from the graph of f(x).

16. f(x) = 2x + 1

g(x) = (2x + 1) + 5

h(x) = 3f(2x + 1)

g(x) shifted f(x) 5 units to the right.

h(x) is 3 times steeper than f(x).

If this is the correct answer, then please give it the brainliest.

5 0

3 years ago