Answer:
70°
Step-by-step explanation:
This is a question on angle properties.
Angle K + 35 + 75 = 180 (Sum of angles in a triangle)
Angle K + 110 = 180
Angle K = 180 - 110 = 70°
Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
First, using elimination method for eq. 1 and 2 to eliminate one of the variables.
2x - y + 3z = 8
-2x + 3y - 2z = 10
------------------------------
2y + z = 18
z = 18 - 2y
Now eq. 1 and 3, but multiple eq.1 with 2.
2x + 4y - 2z = 8
-2x + 3y - 2z = 10
----------------------------
7y - 4z = 18
Now you have two new equations 7y -4z = 18 and z = 18 - 2y. Solve for y and z, using substitute method.
7y - 4z = 18
7y - 4(18 - 2y) = 18
7y - 72 + 8y = 18
15y = 18+72
y = 90/15
y = 6
Find z using one of the two new equations.
z = 18 - 2y
z = 18 - 2(6)
z = 18 - 12
z = 6
Now you got y and z, find x using any one of the main three equations.
x + 2y - z = 4
X + 2(6) - 6 = 4
x + 12 - 6 = 4
x = 4 - 6
x = -2
Solutions:
x = -2
y = 6
z = 6
