We know the number of faces and vertices of the solid and we have to calculate the number of edges.We have : F = 16 and V = 14.The formula is:F - E + V = 216 - E + 14 = 216 + 14 - 2 = EE = 30 - 2E = 28Answer: The solid has 28 edges.
Answer:
a true
b false
c. false
d. true
e. false
f. true
Step-by-step explanation:
The function is y =35+8x where x is the number of items sold and y is the earnings
To determine if the point is on the graph substitute the point in and see if it is true
a (7,91)
91 = 35+ 8(7)
91 = 35+ 56
91 = 91 true
b(11, 121)
121 = 35+ 8(11)
121 = 35+ 88
121 = 123 false
c. (9, 110)
110 = 35+ 8(9)
110 = 35+ 72
110 = 107 false
d. (4,67)
67 = 35+ 8(4)
67 = 35+ 32
67 = 67 true
e. (5,72)
72 = 35+ 8(5)
72 = 35+ 40
72 = 75 false
f. (3, 59)
59 = 35+ 8(3)
59 = 35+ 24
59 = 59 true
Answer:
D
Step-by-step explanation:
intercept is -4 and slope is rise over run which is 3/1 = 3
put into slope intercept form to achieve answer D
Answer:
45 cause any value inside mod function always return to postive
Answer:
The volume of the metal used is 5277.9 cm³.
Step-by-step explanation:
The volume of a cylinder is given by:

Where:
r: is the radius
h: is the height = 50 cm
The volume of metal (
) can be found by subtracting the internal volume (
) from the external volume (
):

The external radius is given by the sum of the internal radius with the tickness:

Hence, the volume is:

Therefore, the volume of the metal used is 5277.9 cm³.
I hope it helps you!