Answer:
Step-by-step explanation:
∵ The volume of the pyramid = 1/3 base area × height
∵ The base is equilateral Δ with side length 4
∴ The area of the bast = 1/4 × 4² × √3 = 4√3 units²
To get the height of the pyramid draw it from the vertex of the top of the pyramid ⊥ to the base on the centro-id of the base which divides the height of the triangle two ratio 2:1 from the vertex of the triangle
∵ The height of the base = √(4² - 2²) =√12 = 2√3
∴ 2/3 the height = 4√3/3 ⇒ (2:1 means 2/3 from the height)
∴ The height of the pyramid = √[4² - (4√3/3)²] = √[16 - 48/9]
∴ h = 4√2/√3 (4√6/3 in its simplest form)
∴ V = 1/3 × 4√3 × 4√2/√3 = 16√2/3 units³
∴ 
Answer:
g(-9) = 1
Step-by-step explanation:
g(-9) is the value of the function at x = -9
Go over the x = -9 and go up until you hit the blue line
Read the value of y
g(-9) = 1
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Isolate the variable y
The solution is the shaded area below the solid line
Is below because the symbol of the inequality is less
Is a solid line because the line is included in the solution
The equation of the solid line is 
To graph the solution find the intercepts
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0, x=6 --------> point (6,0)
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0, y=2 -------> point (0,2)
Graph the inequality
see the attached figure
Answer:
120x3 = 360
Step-by-step explanation:
Answer:
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Step-by-step explanation:
