Answer:
(2z)^3 or 8z^3
Step-by-step explanation:
"double z:" 2z
"raise the result (2z) to the third power:" (2z)^3 or 8z^3
Answer:
Step-by-step explanation:
area of sector=πr²/4=π ×6²/4=9 π ft²
area of one triangle= 1/2×6×6=18 ft²
area of three triangles=3×18=54 ft²
area of sector +area of three triangles=54+9 π ft²
area of circle=π×6²=36 π ft²
area of shaded region=36 π-9π-54=27 π-54=27(π-2) ft²
Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
Multiply both sides by 2
simplify
As the area is always positive.
so
Add 18 to both sides
simplify
Divide both sides by 3
Thus, the value of a = 14
Answer: 29
Step-by-step explanation:
Given : Total people in the line = 35
Number of people behind Amy = 15
⇒Number of people in front of Amy = Total people - (Amy and people behind Amy)
= 35-15-1
= 19
According to the question,
Number of people in front of Amy + Number of people behind Jed =24
⇒ 19 + Number of people behind Jed =24
⇒ Number of people behind Jed =24 -19 = 5
Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)
= 35-(5+1)
= 35-6=29
Hence, there are 29 people are in front of Jed.