Answer:
a
Step-by-step explanation:
A=((40+64)/2)*18= 936 units^2
If you notice the picture below
the hexagonal pyramid, is really just a hexagon at the bottom, 6 sides,
and 6 triangles stacked up to each other at the edges
so.. just get the area of the hexagon and the triangles, and add them up, that'd be the surface area of the pyramid
a triangle's area, you'd know is just 1/2 bh, and you have both of those there
now, for the hexagon, notice, we're given the length from the center to one of the sides, namely the "apothem"
thus
Answer: Correct option is A)
It is given that a:(b+c)=1:3 and c:(a+b)=5:7 and we solve these expressions
Step-by-step explanation:
b+c
a
=
3
1
⇒3a=b+c
⇒3a−b=c....(1)
a+b
c
=
7
5
⇒7c=5(a+b)
⇒7c=5a+5b....(2)
Multiplying the first equation by 7 we get:
7(3a−b)=7c
⇒7c=21a−7b....(3)
Now, subtracting equation 2 from equation 3, we have:
7c−7c=(21a−7b)−(5a+5b)
⇒0=21a−7b−5a−5b
⇒16a=12b
⇒b=
12
16a
⇒b=
3
4a
Substituting the value of b in equation 1:
3a−
3
4a
=c
⇒c=
3
9a
−
3
4a
⇒c=
3
9a−4a
⇒c=
3
5a
Now, lets find the value of b:(a+c) as shown below:
a+c
b
=
a+
3
5a
3
4a
=
3
3a
+
3
5a
3
4a
=
3
8a
3
4a
=
3
4a
×
8a
3
=
8a
4a
=
2
1
=1:2
hence, b:(a+c)=1:2.
The first step for solving this equation is to determine the defined range.

, z ≠ 0
Move the expression

to the left side of the equation and change its sign.

-

=

Now we need to write all numerators above the least common denominator of 8z. This will change the equation to the following:

=

Simplify the equation using cross multiplication.
8 = -56z
Switch the sides of the equation.
-56z = 8
Divide both sides of the equation by -56.

, z ≠ 0
Lastly,, check if the solution is in the defined range to get your final answer.

Let me know if you have any further questions.
:)