Answer:
When writing the grades of a diamond using the AGS Scale, diamond Cut grade is first, then diamond Color, Clarity, then Carat Weight—in that order. If a diamondpossessing the finest diamond Cut grade is also colorless, free of inclusions and blemishes, and weighs one carat, it would be written as: 0/0/0–1.000 carat.
Step-by-step explanation:
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Answer:
Part a) GK=(7x+1)
Part b) GH=5 units and JK=8 units
Step-by-step explanation:
Part a) what algebraic expression represents GK?
we know that
GK=GH+HJ+JK
step 1
Find GH
we have
GH=GJ-HJ
substitute the given values
GH=(2x+3)-x=x+3
step 2
Find JK
JK=HK-HJ
substitute the given values
JK=(6x-2)-x=5x-2
step 3
Find GK
GK=GH+HJ+JK
we have
GH=x+3
HJ=x
JK=5x-2
substitute
GK=(x+3)+x+(5x-2)
GK=(7x+1)
Part b) If GK=15, what are GH and JK?
we know that
GK=(7x+1)
For GK=15
substitute the value of GK and solve for x
15=(7x+1)
7x=15-1
7x=14
x=2
<u><em>Find the value of GH</em></u>
GH=x+3
substitute the value of x
GH=2+3=5 units
<u><em>Find the value of JK</em></u>
JK=5x-2
substitute the value of x
JK=5(2)-2=8 units
Answer:
(59) = 20
Step-by-step explanation:
(x) is the inverse of f(x)
to find the inverse function, let f(x) = y and rearrange to make x the subject.
y = 3x - 1 ( add 1 to both sides )
y + 1 = 3x ( divide both sides by 3 )
= x
change y back into terms of x with x = (x) , then
(x) = 
, then
(59) = 
= 
= 20
Step-by-step explanation:
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Answer:
32cm³
Step-by-step explanation:
the volume of a cone is
V
=
π
r
2
h
3
in this case, we can relate
h
and
r
as we know that the slope =
h
r
=
10
5
=
2
we can make the volume a formula in a single variable
V
=
π
(
h
2
)
2
h
3
=
π
h
3
12
differentiating wrt time, it follows that
.
V
=
3
π
h
2
.
h
12
=
π
h
2
.
h
4
so to address the question
.
V
=
π
8
2
⋅
2
4
=
32
π
c
m
3
/ sec
