Alguém sabe como faz essas duas questões ?

Hello there, can someone please help me with this question

monitta

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is $\frac{360-72}{2} =144$ .

The formula to find the interior angle of a polygon is $\frac{180(n-2)}{n}$

$\frac{180(n-2)}{n} =144$

Multiply both sides by n:

$\frac{180\left(n-2\right)}{n}n=144n$

$180\left(n-2\right)=144n$

Expand:

$180n-360=144n$

Add 360 to both sides:

$180n-360+360=144n+360$

$180n=144n+360$

Subtract 144n from both sides:

$180n-144n=144n+360-144n$

$36n=360$

Divide both sides by 36:

$\frac{36n}{36}=\frac{360}{36}$

$n=10$

7 0

2 years ago

The coordinate plane below represents a city. Points A through F are schools in the city. graph of coordinate plane. Point A is

Firlakuza [10]

Part A;
There are many system of inequalities that can be created such that only contain points C and F in the overlapping shaded regions.

Any system of inequalities which is satisfied by (2, 2) and (3, 4) but is not stisfied by (-3, -4), (-4, 3), (1, -2) and (5, -4) can serve.

An example of such system of equation is
x > 0
y > 0
The system of equation above represent all the points in the first quadrant of the coordinate system.
The area above the x-axis and to the right of the y-axis is shaded.

Part 2:
It can be verified that points C and F are solutions to the system of inequalities above by substituting the coordinates of points C and F into the system of equations and see whether they are true.

Substituting C(2, 2) into the system we have:
2 > 0
2 > 0
as can be seen the two inequalities above are true, hence point C is a solution to the set of inequalities.

Part C:
Given that Natalie can only attend a school in her designated zone and that Natalie's zone is defined by y < −2x + 2.

To identify the schools that Natalie is allowed to attend, we substitute the coordinates of the points A to F into the inequality defining Natalie's zone.

For point A(-3, -4): -4 < -2(-3) + 2; -4 < 6 + 2; -4 < 8 which is true

For point B(-4, 3): 3 < -2(-4) + 2; 3 < 8 + 2; 3 < 10 which is true

For point C(2, 2): 2 < -2(2) + 2; 2 < -4 + 2; 2 < -2 which is false

For point D(1, -2): -2 < -2(1) + 2; -2 < -2 + 2; -2 < 0 which is true

For point E(5, -4): -4 < -2(5) + 2; -4 < -10 + 2; -4 < -8 which is false

For point F(3, 4): 4 < -2(3) + 2; 4 < -6 + 2; 4 < -4 which is false

Therefore, the schools that Natalie is allowed to attend are the schools at point A, B and D.

7 0

3 years ago

At 3pm, Mikayla’s shadow was 1.2 meters long. Mikayla is 1.7 meters tall. She measures a tree’s shadow to be 7.5 meters. How tal

NeX [460]

2.5 meters is the answer

7 0

3 years ago

Read 2 more answers

11m −4/3=2m+5/3 pls tell me this answer is the answer 3

Oksana_A [137]

Answer:

m=1/3

Step-by-step explanation:

11m- 4/3=2m+5/3

-2m. - 2m

9m -4/3=5/3

+4/3.+ 4/3

9m= 9/3

m=1/3

6 0

3 years ago

A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati

Marina CMI [18]

Answer:

Minimum average cost = 743.75

Number of dvds to achieve the cost = 62.5

Step-by-step explanation:

Given the cost equation

C = 0.04x² − 5x + 900

To Obtian the minimum average cost ;

Find dc/dx = 0

Diffentiate cost, c it ith respect to x

dc/dx = 2(0.04x) - 5

dc/dx = 0.08x - 5 = 0

0.08x = 5

x = 5 / 0.08

x = 62.5

Substitute the value of x into C to obtain the minimum average cost

C = 0.04(62.5)² - 5(62.5) + 900

C = 743.75

6 0

2 years ago