I’m pretty sure b but if not then probably a
Volume of Square Based Pyramid = (1/3)*(Side Length of Base)^2 *(height)
the given information are:
Volume = 120
height = 10
plug this in and get:
120 = (1/3)*(side)^2 *(10)
12 = (1/3)*(side)^2 [divided both sides by 10]
36 = (side)^2 [multiplied both sides by 3]
(side) = 6 [square rooted both sides]
Therefore the Side Length of the Base is 6 meters.
30+1.95x=7.95x
so, 6x=30
x=5
Answer:
Step-by-step explanation:
Question 1
System of equations is,
y = -6x -------(1)
y = -4x - 2 ---------(2)
Substitute the value of y from equation (1) to equation (2)
-6x = -4x - 2
-6x + 4x = -2
-2x = -2
x = 1
From equation (1)
y = -6(1)
y = -6
Question (2)
System of equations is,
-y = x --------(1)
3x + 5y = 20 ---------(2)
Substitute the value of x from equation (1) to equation (2)
3(-y) + 5y = 20
-3y + 5y = 20
2y = 20
y = 10
From equation (1)
-y = x
x = -10
Question (3)
System of the equations is,
y = -2x - 7 --------(1)
9x - 10y = 12 ----------(2)
Substitute the value of y from equation (1) to equation (2)
9x - 10(-2x - 7) = 12
9x + 20x + 70 = 12
29x = 12 - 70
29x = -58
x = -2
From equation (1)
y = -2(-2) - 7
y = 4 - 7
y = -3