Answer:
Octagonal pyramid
Step-by-step explanation:
Hexagonal Prism: 8 faces
2 hexagon bases, and 6 faces that connect each side of the bases
Octagonal pyramid: 9 faces
One octagon base, and 8 faces that meet at a point- all extending from each side of the base
Rectangular prism: 6 faces
Two rectangle bases, and 4 faces connecting each side of the bases
Pentagonal pyramid: 6 faces
One pentagon base, and 5 faces that meet at a point- all extending from each side of the base
I recommend searching for a picture of each of the figures to help you understand this.
Answer:
3 (28 n - 9)
Step-by-step explanation:
Simplify the following:
-9 (1 - 10 n) - 2 (3 n + 9)
-9 (1 - 10 n) = 90 n - 9:
90 n - 9 - 2 (3 n + 9)
-2 (3 n + 9) = -6 n - 18:
90 n + -6 n - 18 - 9
Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):
(90 n - 6 n) + (-9 - 18)
90 n - 6 n = 84 n:
84 n + (-9 - 18)
-9 - 18 = -27:
84 n + -27
Factor 3 out of 84 n - 27:
Answer: 3 (28 n - 9)
Let the first angle be x and the second be y.
Supplementary angles add up to 180, so:
x + y = 180
Also, as given in the statement:
x = 4y - 25
Substituting into the first equation:
4y - 25 + y = 180
5y = 205
y = 41
x = 4(41) - 25
x = 139
One angle is 139° and the other is 41°.
If the circumference is half of the perimeter than the area for both circles would be half of them find one circles area and half it