Answer:16.5
Step-by-step explanation: x+x+147=180
2x+147=180
2x=33
2x=33 divide by 2
x=16.5
First question
Volume = height * radius*radius*3.14
5*3*3*3.14 = 141.3 in3
Second qustion
Violume = height * radius * radius * 3.14
28*8*8*3.14= 5626.88 cm3
So the answer is 1875.63 because it's the closest
Answer:
x = - 1, y = 6
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = 6x + 12 → (2)
Substitute y = 6x + 12 into (1)
6x + 12 = - 2x + 4 ( add 2x to both sides )
8x + 12 = 4 ( subtract 12 from both sides )
8x = - 8 ( divide both sides by 8 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (2)
y = 6(- 1) + 12 = - 6 + 12 = 6
Solution is (- 1, 6 )
Answer:
45
Step-by-step explanation:
ssubstitute a and b for any of the numbers (3 or 6) and get 36+9 which is 45
45 =
so you would need to find the square root to get c
Answer:a) 5 sides
b) 9 sides
Step-by-step explanation:
a) Since the polygon is a regular polygon, all the interior angles are equal. If one exterior angle is 72 degrees, the interior angle would be
180 - 72 = 108 degrees(sum of the angles on a straight line is 180 degrees)
The sum of the interior angles of a polygon is expressed as
180(n - 2)
Where n represents the number of sides that the polygon has. Since the interior angles are equal, then
108n = 180(n - 2)
108n = 180n - 360
180n - 108n = 360
72n = 360
n = 360/72 = 5
b) If one exterior angle is 40 degrees, the interior angle would be
180 - 40 = 140 degrees
Since the interior angles are equal, then
140n = 180(n - 2)
140n = 180n - 360
180n - 140n = 360
40n = 360
n = 360/40 = 9
