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3 years ago

Find the length of a side of a square whose diagonal is 4 centimeters

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

5 0

16 is the answer when multiplied by each side

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HELP ASAP WILL GIVE BRAINLIEST!! What is the value of 8.25p + 3.99c, when p=12 and c=8.

DENIUS [597]

Answer:

130.92

Step-by-step explanation:

8.25(12)+3.99(8)

99+31.92

130.92

5 0

2 years ago

The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities t

Fofino [41]

Answer:

Step-by-step explanation:

Required

Represent the relationship between population of girls and boys

From the question, we have that

$Boys = x\\Girls = y$

Given that y is greater than x in the classroom;

One of the keywords in the given data is "Greater than"

The inequality to represent the system is the greater than sign;

In other words, >

Bringing x, y and > together to form a complete inequality; we have

$Girls > Boys$

Replace Girls with y and Boys with x

$y > x$

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 $0 \le \cos^{2}{x} \le 1 \implies 0 \le u \le 1$ .