Answer:
Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.
Step One
Find the base area of the large hexagon as though the smaller one was not removed.
Area = 3*Sqrt(3) * a^2 /2 where a is the length of one side of the hexagon
a = 5
Area = 3*sqrt(3) * 25/2 = 75 sqrt(3) / 2 of the large hexagon without the smaller one removed.
Step Two
Find the area of the smaller hexagon. In this case a = 4
Area2 = 3*sqrt(3)*16/2 = 3*sqrt(3)*8 = 24 sqrt(3)
Step Three
Find the area of the thick hexagonal area left by the removal of the small hexagon.
Area of the remaining piece = area of large hexagon - area of the small hexagon
Area of the remaining piece = 75 *sqrt(3)/2 - 24*sqrt(3)
Step Four
Find the volume of the results of the area from step 3
Volume = Area * h
h = 18
Volume = (75 * sqrt(3)/2 - 24*sqrt(3))* 18
I'm going to leave you with the job of changing all of this to a decimal answer. I get about 420 cm^3
Answer:
The equation in standard form is
2
3
x
−
y
=
7
.
Explanation:
The standard form for a linear equation is
A
x
B
y
=C
, where
A
,
B
,
and
C
are numbers, and
x
and
y
are variables.
y
=
2
3
x
−
7
Subtract
2
3
x
from both sides of the equation.
−
2
3
x
+
y
=
−
7
Multiply both sides by
−
1
.
2
3
x
−
y
=
7
A
=
2
3
,
B
=
−
1
,
C
=
7
Answer:
A) a²-2a+2a-4 the a is correct check my explanation to understand the answer.
Step-by-step explanation:
(a+2)(a-2)= a²-2a+2a-4
The single payment six months from now is required to settle the debt will be $4042.
<h3>How to calculate the amount?</h3>
The interest rate monthly will be 8/1200.
The number of time period given is 6 months.
Therefore, the future value will be:
= 2000(1 - 8/1200)^6
= 2081.35
The present value will be:
= 2000(1 - 8/1200)^3
= 1960.53
Therefore, the single payment will be:
= 2081.35 + 1960.53
= 4042
In conclusion, the correct amount is $4042.
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