Answer:
x = -8
y = 6
Step-by-step explanation:
x + 2y = 4
-x - y = 2
-8 + 2(6) = 4
-(-8) - 6 = 2
-8 + 12 = 4
8 - 6 = 2
Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
Answer:
y = 70°
Step-by-step explanation:
4x - 50 and 2x + 30 are equal, because they are corresponding angles
4x - 50 = 2x + 30
4x = 2x + 80
2x = 80
x = 40°
The angle below 2x + 30 = y, because they are vertical angles
Since we know what x is, we can substitute x from 2x + 30
And since two angles that take up a line are 180°, we can add them
2(40) + 30 + y = 180
80 + 30 + y = 180
110 + y = 180
y = 180 - 110
y = 70
-Chetan K
Answer:
11/100
here's your solution
Step-by-step explanation:
=> percent means divided by 100
=>. so. 11% =. 11/100
=>. 11/100
hope it helps