Answer: Volume is 4308.1 in³
Step-by-step explanation: Volume is pii· r²·h = 3.14 · (14 in)²·7 in
cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)
So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.
Recall that
cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)
so that
sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)
sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)
Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :
sin(<em>θ</em>) = 1 / √((-2)² + 1)
sin(<em>θ</em>) = 1/√(5)
Answer:
108 cm^2
Step-by-step explanation:
The lateral surface area of a pyramid is given as
LSA= 1/2×perimeter of the base×slant height
base is hexagon with side 3 cm , therefore, perimeter of the base
=6×3=18 cm
slant height = 12 cm
thus, LSA = 1/2×18×12 = 108 cm^2
Answer:
1, i can't see the pic so i can't answer the Question
Step-by-step explanation:
7/4=1.75
1.75=175%
175% of a school year is 7 quarters.