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3 years ago

Im really confused, can someone please help?

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

160 cubes are shaded. There a total of 200 cubes. You would divide 160 by 200 and that gives you 0.8 which is equal to 80%.

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What best describes movement of particles in a solid

Fudgin [204]

Answer:The particles in a solid are tightly packed and locked in place. Although we cannot see it or feel it, the particles are moving = vibrating in place.

7 0

3 years ago

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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 $x = \pi$ .

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3 years ago

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Javier rode his bike for a total of 40 minutes. The number of minutes he rode after lunch is 4 times the number of minutes he ro

Greeley [361]

Javier rode his bike for a total of 40 minutes.

Let x be the minutes Javier ride after lunch

Let y be the minutes Javier ride before lunch

The number of minutes he rode after lunch is 4 times the number of minutes he rode before lunch

x = 4 y

The number of minutes he rode after lunch + number of minutes he rode before lunch = 40

x + y = 40

We know x= 4y

4y + y = 40

5y = 40

y = 8

x= 4y so x= 4(8) = 32

Javier ride 32 minutes after lunch

7 0

3 years ago

If one kg. of potatoes costs $4.99, what would 1.8 kg cost?

lina2011 [118]

You can use the proportion.
$4.99 / 1 kg = x / 1.8 kg
x = ($4.99 * 1.8 kg) / 1 kg
x = $8.98

Therefore, in 1.8 kg of potatoes, it costs at $8.98
☺️<span>✌️</span>

3 0

3 years ago

Sally has 42 cookies . She wants to eat some and share some with her class. If she hopes to share at least 35 of them with her c

postnew [5]

Answer:

1.2 please tell me if im wrong

Step-by-step explanation:

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3 years ago