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3 years ago

Find the area of a regular hexagon with an apothem of 15 cm. DO

1 answer:

6 0

Answer: To Find the area you would need to use Area= 1/2 a multiplied by the perimeter. if you do not have the perimeter then you can find it by multiplying # of sides and length of sides. Hope this helps. : )

Step-by-step explanation:

a=apothem

You might be interested in

A dice is rolled 4 times. What is the probability of showing a 6 on every roll?

marin [14]

Answer:

4/24 times

Step-by-step explanation:

Since there are 6 sides on a dice and it's rolled 4 times you would need to do 6*4 which is 24, then every number could have the probability of 4/24 to get rolled every time.

5 0

2 years ago

Olivia is planning to study for 8 hours. she has to spend studying English twice the time she needs for science and the time she

vaieri [72.5K]

Answer:

science = $\frac{4}{3} \ hours$

English = $\frac{8}{3} \ hours$

Math = 4 hours

Step-by-step explanation:

let the number of hours spend on science = x

Hence the number of hours on English will be = 2x

Given that the number of hours spend on science is one third of the time spend on maths. Hence the time spend on math is 3 times that of the time spend on science. That the time spend on maths is = 3x

Hence the total time to study is

x+2x+3x

which is given as 8 hours

Hence

x+2x+3x =8

6x=8

dividing both sides by 6

$\frac{6x}{6}=\frac{8}{6}$

$x=\frac{8}{6}$

$x=\frac{4}{3}$

Hence the number of hours foe studying science = $\frac{4}{3}$

Number of hours to study English = $\frac{4}{3} \times 2$ = $\frac{8}{3}$

Number of hours to study Math= $\frac{4}{3} \times 3$ = $4$

5 0

3 years ago

pls help with this immediately!!! i’ll be marking brainiest to those with the correct answer. if u leave a link, have fun gettin

nirvana33 [79]

Answer:

- Rhombus.

-Trapezoid

Step-by-step explanation:

5 0

3 years ago

John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $14

Rzqust [24]

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

7 0

2 years ago

Use Gaussian elimination to write each system in triangular form

Feliz [49]

Answer:

To see the steps to the diagonal form see the step-by-step explanation. The solution to the system is $x = -\frac{1}{9}$ , $y= -\frac{1}{9}$ , $z= \frac{4}{9}$ and $w = \frac{7}{9}$

Step-by-step explanation:

Gauss elimination method consists in reducing the matrix to a upper triangular one by using three different types of row operations (this is why the method is also called row reduction method). The three elementary row operations are:

Swapping two rows
Multiplying a row by a nonzero number
Adding a multiple of one row to another row

To solve the system using the Gauss elimination method we need to write the augmented matrix of the system. For the given system, this matrix is:

$\left[\begin{array}{cccc|c}1 & 1 & 1 & 1 & 1 \\1 & 1 & 0 & -1 & -1 \\-1 & 1 & 1 & 2 & 2 \\1 & 2 & -1 & 1 & 0\end{array}\right]$

For this matrix we need to perform the following row operations:

$R_2 - 1 R_1 \rightarrow R_2$ (multiply 1 row by 1 and subtract it from 2 row)
$R_3 + 1 R_1 \rightarrow R_3$ (multiply 1 row by 1 and add it to 3 row)
$R_4 - 1 R_1 \rightarrow R_4$ (multiply 1 row by 1 and subtract it from 4 row)

$R_2 \leftrightarrow R_3$ (interchange the 2 and 3 rows)

$R_2 / 2 \rightarrow R_2$ (divide the 2 row by 2)
$R_1 - 1 R_2 \rightarrow R_1$ (multiply 2 row by 1 and subtract it from 1 row)
$R_4 - 1 R_2 \rightarrow R_4$ (multiply 2 row by 1 and subtract it from 4 row)
$R_3 \cdot ( -1) \rightarrow R_3$ (multiply the 3 row by -1)
$R_2 - 1 R_3 \rightarrow R_2$ (multiply 3 row by 1 and subtract it from 2 row)
$R_4 + 3 R_3 \rightarrow R_4$ (multiply 3 row by 3 and add it to 4 row)
$R_4 / 4.5 \rightarrow R_4$ (divide the 4 row by 4.5)

After this step, the system has an upper triangular form

The triangular matrix looks like:

$\left[\begin{array}{cccc|c}1 & 0 & 0 & -0.5 & -0.5 \\0 & 1 & 0 & -0.5 & -0.5\\0 & 0 & 1 & 2 & 2 \\0 & 0 & 0 & 1 & \frac{7}{9}\end{array}\right]$

If you later perform the following operations you can find the solution to the system.

$R_1 + 0.5 R_4 \rightarrow R_1$ (multiply 4 row by 0.5 and add it to 1 row)
$R_2 + 0.5 R_4 \rightarrow R_2$ (multiply 4 row by 0.5 and add it to 2 row)
$R_3 - 2 R_4 \rightarrow R_3$ (multiply 4 row by 2 and subtract it from 3 row)

After this operations, the matrix should look like:

$\left[\begin{array}{cccc|c}1 & 0 & 0 & 0 & -\frac{1}{9} \\0 & 1 & 0 & 0 & -\frac{1}{9}\\0 & 0 & 1 & 0 & \frac{4}{9} \\0 & 0 & 0 & 1 & \frac{7}{9}\end{array}\right]$

Thus, the solution is:

$x = -\frac{1}{9}$ , $y= -\frac{1}{9}$ , $z= \frac{4}{9}$ and $w = \frac{7}{9}$

7 0

3 years ago