<h3><u>The value of p is 24.</u></h3>
3/4p = 18
Multiply both sides by 4.
3p = 72
Divide both sides by 3.
p = 24
Answer:
if exterior angle is 10 degrees, then interior angle is 180 -10 = 170 deg.
Each trinaglke inside the polygon will be isosceles with two angles of 170/2 - 85 degrees each.
So, angle at centre = 180 -170 = 10 deg.
Ttal angle at centre = 360 deg.
No of sides = 360 /10 = 36 sided polygon.
b) Sum of interior angles is given by (2N-4) Right angles
So: 9900 = (2N-4)x90 = 180N - 360
180N = 9900 +360 = 10260
N = number of sides = 10260 / 180 = 57 sides
Answer:
![x=3](https://tex.z-dn.net/?f=x%3D3)
Step-by-step explanation:
By the exterior angle theorem,
![(45x)\degree=(57+x)\degree+(26x)\degree](https://tex.z-dn.net/?f=%2845x%29%5Cdegree%3D%2857%2Bx%29%5Cdegree%2B%2826x%29%5Cdegree)
Group like terms and solve for x.
![45x-26x-x=57](https://tex.z-dn.net/?f=45x-26x-x%3D57)
![19x=57](https://tex.z-dn.net/?f=19x%3D57)
Divide both sides by 19;
![x=3](https://tex.z-dn.net/?f=x%3D3)
Volume of a spehere=(4/3)πr³
Data:
diameter=3.5 in
π=3.14
1)we calculate the radius:
r=diameter/2=3.5 in / 2=1.75 in
2) we calculate the volume of this sphere:
volume=(4/3)*3.14*(1.75 in)³=22.4379...in³≈22.44 in³.
Answer: 22.44 in³
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