Can some one help me with this math problem and explain their self's as well?

Mathematics

1 answer:

yaroslaw [1]3 years ago

3 0

Answer:

20 side polygon: 180 x (20 -2)

Step-by-step explanation:

A n side polygon can be divided into n-2 triangles

each triangle has 180°

n-2 triangles have 180 x (n-2) degrees

You might be interested in

find the mean and median of the data set. if necessary, round to the nearsest houndreth. 27, 28, 32, 27, 26, 31, 29, 26

Zina [86]

Answer:

Median = 27.5 Mean = 28.25

Step-by-step explanation:

3 0

2 years ago

4. What key features of a quadratic graph can be identified and how are the graphs affected when the constants or coefficients a

natka813 [3]

Standard quadratic equation .. y = a x^2 + b x + c
parabola 'a' not equal to zero 
a<0 parabola opens downward 
a>0 parabola opens upward 
when |a| >>0 the parabola is narrower 
when |a| is close to zero , the parabola is flatter 

when the constant is varied it only effects the vertical position of the parabola , the shape remains the same

6 0

2 years ago

Read 2 more answers

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

2 years ago

A deep sea diving bell is being lowered at a constant rate. After 12 minutes, the bell is at a depth of 600 ft. After 30 minutes

Masteriza [31]

The answer is D i think

4 0

2 years ago

Read 2 more answers

The diameter of a circle is 3 ft. Find its area to the nearest tenth.

tatiyna

Answer:

A= 7.07ft squared