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AnnyKZ [126]
2 years ago
15

A rectangular goat pen is 7 meters long and 4 meters wide. What is it's area?

Mathematics
1 answer:
Burka [1]2 years ago
7 0

Answer:

28

Step-by-step explanation:

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Suppose a regular n-gon is inscribed in a circle of radius r. Diagrams are shown for n=6, n=8, and n = 12. n = 6 n=8 n = 12 a a
m_a_m_a [10]

Answer:If an N-gon (polygon with N sides) has perimeter P, then each of the  

N sides has length P/N.  If we connect two adjacent vertices to the  

center, the angle between these two lines is 360/N degrees, or 2*pi/N  

radians.  (Do you understand radian measure well enough to follow me  

this far?)

The two lines I just drew, plus the side of the polygon between them,  

form an isosceles triangle.  Adding the altitude of the isosceles  

triangle makes two right triangles, and we can use one of them to  

derive the equation

 sin(theta/2) =  s/(2R)

where theta is the apex angle (which I said is 2*pi/N radians), R is  

the length of the lines to the center (the radius of the circumscribed  

circle), and s is the length of the side (which I said is P/N).

Putting those values into the equation, we have

 sin(pi/N) = P/(2NR)

so that

 P = 2NR sin(pi/N)

gives the perimeter of the N-gon with circumradius R.

Can we see a connection between this formula and the perimeter of a  

circle?  The perimeter of the circumcircle is 2*pi*R.  As we increase  

N, the perimeter of the polygon should get closer and closer to this  

value.  Comparing the two, we see

 2NR*sin(pi/N) approaches 2*pi*R

 N*sin(pi/N)   approaches pi

You can check this out with a calculator, using big numbers for N such  

as your teacher's N=1000.  If you calculate the sine of an angle in  

degrees rather than radians, the formula will look like

 N*sin(180/N) --> pi

Step-by-step explanation:

6 0
3 years ago
In arguing against the death penalty, Amnesty International has pointed out supposed inequities, such as the many times a black
uysha [10]

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

P(w=12) = p(w)^{12}

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

P(w=12) = 0.90^{12}\\P(w=12) =0.2824

The probability is 0.2824.

(b) for p = 0.50

P(w=12) = 0.50^{12}\\P(w=12) =0.0002441

The probability is 0.0002441.

5 0
3 years ago
What is the distance between these points (-4,6) and (2,-3)
Julli [10]

Answer:The answer is 10.8167. The picture explains the answer

Step-by-step explanation:

3 0
3 years ago
Simplify: (x2+6x+8) + (-4x2+11x-9)
disa [49]

Answer:

-3x^2+17x-1

Step-by-step explanation:

8 0
3 years ago
The Nutty Professor sells cashews for $7.10 per pound and Brazil nuts for $4.60 per pound. How much of each type should be used
aivan3 [116]

Answer:

Pounds for cashew- 20.96

Pounds for Brazilian nut- 11.04

Step-by-step explanation:

Let c be the pounds of cashew

Let b ne the pound of Brazilian but

32×6.24

= 199.68

7.1c + 4.60b= 199.68.......equation 1

c + b= 32..........equation 2

From equation 2

c= 32-b

Sub 32-b for c in equation 1

7.1(32-b) + 4.60b= 199.68

227.3-7.1b+4.60b, = 199.68

227.3-2.5b= 199.68

-2.5b= 199.69-227.3

- 2.5b= -27.61

b= 27.61/2.5

b= 11.04

Sub 11.04 for b in equation 2

c+b= 32

c + 11.04= 32

c= 32-11.04

c= 20.96

4 0
3 years ago
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