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3 years ago

(sum of interior angles = 10 (n-2) where n is the number of sides of the polygon)

Mathematics

2 answers:

N76 [4]3 years ago

8 0

Answer:

Step-by-step explanation:

1) pentagon; n= 5

Sum of interior angles = 180*(n -2) = 180* (5-2) = 180 * 3 = 540

2) Sum of interior angles of a polygon = 1080

180*(n-2) = 1080

n - 2 = 1080/180

n -2 = 6

n = 6+2

n = 8

Polygon has 8 sides

3) Sum of interior angles of a polygon = 6840

180*(n-2) = 6840

n - 2 =6840/180

n -2 = 38

n = 38 + 2

n = 40

Polygon has 40sides

4)Sum of interior angles of an octagon = 180*(n-2) = 180* (8-2) = 180 - 6 = 1080

antiseptic1488 [7]3 years ago

8 0

The sum of the interior angles of the 10-sided polygon on the left is 1440 °.

The answer is : 1440

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Determine the domain of the function

skelet666 [1.2K]

Answer:

Option B is correct.

The domain of the function h(x) is: $\{x | x\neq \pm 6 , x\neq 0\}$

Step-by-step explanation:

Domain states that the complete set of all the possible values of the independent variable where function is defined.

Given the function:

$h(x) = \frac{9x}{x(x^2-36)}$

To find the excluded value in the domain of the function.

equate the denominator to 0 and solve for x.

i.e

$x(x^2-36) = 0$

⇒x = 0 and $x^2-36 = 0$

⇒x = 0 and $x^2 = 36$

x = 0 and $x = \pm 6$

So, the domain of the function h(x) is the set of all real number except x = 0 and $x = \pm 6$

Therefore, the domain of the function h(x) is:

$\{x | x\neq \pm 6 , x\neq 0\}$

8 0

4 years ago

Read 2 more answers

Find the value of n that satisfies 2(n+1)! + 6n! = 3(n+1), where $n! = n\cdot (n-1)\cdot (n-2) \cdots 2\cdot 1$.

Murrr4er [49]

Answer:

$n = 5$

Step-by-step explanation:

Given

$2(n+1)! + 6n! = 3(n+1)!$

Required

Find n

Simplify (n + 1)!

$2(n+1)*n! + 6n! = 3(n+1)*n!$

Factorize

$n![2(n+1) + 6] = 3(n+1)*n!$

Divide both sides by n!

$2(n+1) + 6 = 3(n+1)$

Open brackets

$2n + 2 + 6 = 3n + 3$

$2n + 8 = 3n + 3$

Collect like terms

$2n - 3n = 3 -8$

$-n =-5$

Multiply both sides by -1

$n = 5$

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3 years ago

Use the interactive to make a vertical line with the equation of x = 3. The line x = 3 has slope.

Sliva [168]

Answer:

Slope of equation x = 3 is not defined.

Step-by-step explanation:

The graph for equation $x = 3$ is attached.

As clear from the graph, x=3, is a straight line parallel to y-axis.

Slope:

Since the given equation of line is parallel to the y-axis and parallel lines have same slope.
Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching

Thus, the given equation will have the same slope as the y-axis.

The slope of y-axis is not defined.

Hence, the slope of this line is not defined.

4 0

3 years ago

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You invested $29000in two accounts paying 3% and 8% annual interest, respectively. If the total interest earned for the year was

Furkat [3]

Answer:

Amount invested at 3%= $21,000

Amount invested at 8% = $8,000

Step-by-step explanation:

$29,000 was invested in two accounts

The two accounts have annual interest of 3% and 8%

The total interest that was earned for the year is $1,270

Let y represent the amount invested at 3%

y = 3%

The amount invested at 8% can be represented as

29,000-y

Therefore the value of y can be calculated as follows

3/100 × y + 8/100(29,000-y)= 1270

0.03y + 0.08(29,000-y)= 1270

0.03y + 2320 - 0.08y= 1270

0.03y - 0.08y= 1270-2320

-0.05y= -1050

y = 1050/0.05

y= 21,000

The amount invested at 3% is $21,000

The amount invested at 8%

= 29,000-21,000

= $8000

Hence the amount invested at 3% is $21,000 and the amount invested at 8% is $8000

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3 years ago

I want to be a teacher some day and i know this question----------What is -15 -(-8)=? remember a negitive plus a negitive equals

irina [24]

Answer is -7 because -15+8=-7

8 0

4 years ago