2. Calculate the perimeter of the shape below. 6cm 2cm 3cm 4cm

A music store sells electric guitars in 3 colors and 2 sizes. How many different guitar can you buy

matrenka [14]

Answer:

the answer is 6

Step-by-step explanation:

3 times 2 equals 6

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

3 years ago

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Alicia walks 4 miles in 1 hour and can speed walk 5 miles in 1 hour. What percent of Alicia's average speed walking rate is her

RSB [31]

Answer:

The % Alicia speed walking is 125 % of average walking

Step-by-step explanation:

Given as :

Distance cover by Alicia while walking = 4 miles

Time taken = 1 hour

So, Speed of Alicia while walking = $\frac{Distance}{Time}$

Or, S 1 = $\frac{4 miles}{1 hour}$

I.e S 1 = 4 mph

And

Distance cover by Alicia while speed walk = 5 miles

Time Taken = 1 hour

So, Speed of Alicia while speed walking = $\frac{Distance}{Time}$

Or, S 2 = $\frac{5 miles}{1 hour}$

I.e S 2 = 5 mph

Or, % Rate = $\frac{5}{4}$ ×100 = 125

Hence The % Alicia speed walking is 125 % of average walking Answer

4 0

3 years ago

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Write an equation of the line that passes through the given points: (9/2,1), (-7/2,7) please show step by step how to do this. T

Viktor [21]

Explanation:

The easiest way to do this is to make use of the 2-point form of the equation for a line. For points (x₁, y₁) and (x₂, y₂), the equation is ...

$y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1$

Filling in your given points, the equation becomes ...

$y=\dfrac{7-1}{\frac{-7}{2}-\frac{9}{2}}(x-\frac{9}{2})+1$

After you fill in the values, it is a matter of simplifying the resulting equation.

$y=\dfrac{6}{\frac{-16}{2}}(x-\frac{9}{2})+1=\dfrac{-12}{16}(x-\frac{9}{2})+1=-\dfrac{3}{4}x+\left(\dfrac{-3}{4}\cdot\dfrac{-9}{2}\right)+1\\\\y=-\dfrac{3}{4}x+\dfrac{27+8}{8}\\\\y=-\dfrac{3}{4}x+\dfrac{35}{8}$

6 0

3 years ago

Simplify the expression: (2√ 27 ) ⋅ (3√ 32 )

Andrei [34K]

<span>(2 sqrt27)*(3 sqrt32)
={2 sqrt(9*3)}*{3 sqrt(16*2)}
=(6sqrt3)*(12sqrt2)
=72 sqrt6

Hope this helps</span>

8 0

3 years ago

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2. Calculate the perimeter of the shape below. 6cm 2cm 3cm 4cm​

2. Calculate the perimeter of the shape below. 6cm 2cm 3cm 4cm