Answer:
Step-by-step explanation:
For the surface area we need to add up all the areas in the pyramid:
- area of the triangle sides (there are 4 triangles)
Area of the base:
the base is a square, and the area of a square is given by:
where 
is the length of the side: 
, thus:
Area of the triangles:
one triangle has the area given by the formula:
where 
is the base of the triangle: 
and 
is the height of the triangle: 
, thus we have the following:
the expression that represents the surface area of the pyramid is:
substituting our values:
which is option B
Area of entire figure = (16+12)(5)(0.5)(2)=140
Area of rectangular glass= 10*12=120
Area of wooden top= 140-120=20ft^2
1 because 11 can only go into 16 once
Answer: good luck
Step-by-step explanation:Step 1) Because the first equation is already solved for
y
we can substitute
3
x
+
8
for
y
in the second equation and solve for
x
:
8
x
+
4
y
=
12
becomes:
8
x
+
4
(
3
x
+
8
)
=
12
8
x
+
(
4
⋅
3
x
)
+
(
4
⋅
8
)
=
12
8
x
+
12
x
+
32
=
12
(
8
+
12
)
x
+
32
=
12
20
x
+
32
=
12
20
x
+
32
−
32
=
12
−
32
20
x
+
0
=
−
20
20
x
=
−
20
20
x
20
=
−
20
20
20
x
20
=
−
1
x
=
−
1
Step 2) Substitute
−
1
for
x
in the first equation and calculate
y
:
y
=
3
x
+
8
becomes:
y
=
(
3
⋅
−
1
)
+
8
y
=
−
3
+
8
y
=
5
The solution is:
x
=
−
1
and
y
=
5
or
(
−
1
,
5
)
Hi there
The function is
Y (x)=10000 (1-0.02)^x
Y (x)=10000 (0.98)^x
Where x is the number of time
Hope it helps
