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4 years ago

14

Help me please,Thanks

1 answer:

pantera1 [17]4 years ago

5 0

The answer is between A or b

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What is the length of the apothem of a regular hexagon with 10-cm sides?

vodka [1.7K]

Answer:

The length of apothem of given hexagon is 8.66 cm

Step-by-step explanation:

Apothem of a polygon is given by:

$apothem = \frac{s}{2\ tan\ (\frac{180}{n})}$

Here

s is length of side

tan is trigonometric function

and n denotes number of sides

Given that the polygon is a hexagon

$s = 10cm\\n = 6$

Putting the values in the formula

$apothem = \frac{10}{2\ tan\ (\frac{180}{6})}\\= \frac{10}{2\ tan\ 30}\\=\frac{10}{2 * 0.5773}\\=\frac{10}{1.1546}\\=8.6610\\Rounding\ off\ to\ nearest\ hundredth\\= 8.66\ cm$

Hence,

The length of apothem of given hexagon is 8.66 cm

6 0

3 years ago

If the ratio of red roses is 4 to 6 and there are a total of 50 roses, how many of them are yellow?

raketka [301]

17 because 4 x 1.5 = 6, 50 / 1.5 = 33.33

5 0

3 years ago

Evaluate the expression a3 -b/c for a = 3, b = 2 and c = 4. write in simplest form

Scilla [17]

Hello There!

Write out your equation:
$(a^3 - b)/c$
Substitute the values in:
$(3^3 - 2)/4$
Simplify:
$(27 - 2)/4$
$25/4$
Solve:
It is 6.25.

Therefore, your answer is 6 1/4.

Hope This Helps You!
Good Luck :)

- Hannah ❤

6 0

4 years ago

Does anyone know how to do this? I know it's easy but I forgot please help

kenny6666 [7]

Answer: 4

Step-by-step exzplanation: 20/360= X/72

360X= 1440

Divide by 360

X=4

5 0

3 years ago

Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

3 years ago