Answer:
Step-by-step explanation:
In general (x, y, z) = (p ·cos s ·sin t, p· sin s· sin t, p · cos t) where p is radius
x(s, t)= 3 ·cos s ·sin t
y(s, t)= 3· sin s· sin t
z(s, t) = 3· cos t
Where, radius is 3, s ∈ [0,2π), and t ∈ [0, π]
When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +
Calculate the LCM of denominators
Calculate the difference
Answer:
Height of rectangular prism = 11 inches
Step-by-step explanation:
Given that:
Volume of rectangular prism = 572 cubic inches
Length of prism = 4 inches
Width of prism = 13 inches
Volume of prism = Length * Width * Height
572 = 4 * 13 * h
572 = 52h
52h = 572
Dividing both sides by 52
Hence,
Height of rectangular prism = 11 inches
Answer:
The length of the unknown side x is 4 cm
Step-by-step explanation:
we know that
The perimeter of a polygon is equal to the sum of its length sides
Remember that
1 cm=10 mm
In this problem we have
AB=45 mm ------> convert to cm -----> AB=45/10=4.5 cm
BC=10 cm 4 mm -----> convert to cm -----> BC=10+4/10=10.4 cm
CD=5 cm 6 mm -----> convert to cm -----> CD=5+6/10=5.6 cm
DE=35 mm ------> convert to cm -----> DE=35/10=3.5 cm
EA=x cm
P=280 mm ------> convert to cm -----> P=280/10=28 cm
The perimeter of the irregular polygon is equal to
P=AB+BC+CD+DE+EA
substitute the values
28=4.5+10.4+5.6+3.5+x
28=24+x
x=28-24
x=4 cm
