Answer:
p = 5
Step-by-step explanation:
![- 13(1 - 11p) + 14p = 772](https://tex.z-dn.net/?f=%20-%2013%281%20-%2011p%29%20%2B%2014p%20%3D%20772)
![- 13 + 143p + 14p = 772](https://tex.z-dn.net/?f=%20-%2013%20%2B%20143p%20%2B%2014p%20%3D%20772)
![157p = 772 + 13](https://tex.z-dn.net/?f=157p%20%3D%20772%20%2B%2013)
![157p = 785](https://tex.z-dn.net/?f=157p%20%3D%20785)
![p = \frac{785}{157} = 5](https://tex.z-dn.net/?f=p%20%3D%20%20%5Cfrac%7B785%7D%7B157%7D%20%20%3D%205)
To find the angle of vertex E,we need to first find the sum of interior polygons to determine x:
![(number \: of \: sides - 2) \times 180](https://tex.z-dn.net/?f=%28number%20%5C%3A%20of%20%5C%3A%20sides%20-%202%29%20%5Ctimes%20180)
In this case,the equation would be:
(7-2)×180°
=5×180°
=900°
We can then find the value of x:
(4)6x+(2)2x+8x=900°
24x+4x+8x=900°
36x=900°
x=25°
The interior angle of vertex E:
6x=6(25)=150°
Therefore,the interior angle of vertex E is 150°.
Hope it helps!
To solve for the total number of 12 – flag signals Sally
can make, we need to make use of the formula:
total flags = d! / (a! b! c!)
Where,
d = is the number of flags to create a signal = 12
a = number of red flags = 5
b = number of green flags = 3
c = number of white flags = 4
We can observe from the equation that the individual
number of flags is factored out (or divided from) that is because all the 5 red
flags are similar, all the 3 flags are similar and all 4 flags are similar.
Going back into the equation, by substituting and
calculating:
total flags = 12! / (5! 3! 4!)
total flags = 27,720
<span>Therefore there are about 27,720 different 12-flags
signals.</span>
Answer:
ok so scale means that for every 1/2 each is one foot so each inch 2 feet
so lets just multiply each one by 2 and say their feet
5*2=10 feet
11*2=22 feet
22 feet tall
10 feet wide
Hope This Helps!!!