Answer:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
2.1
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
2.1
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
5
and
r
=
2.1
.
a
n
=
(
5
)
⋅
(
2.1
)
n
−
1
Remove parentheses around
2.1
.
a
n
=
5
⋅
2.1
n
−
1
Step-by-step explanation:
Answer:
y=-3
Step-by-step explanation:
31=4-9y
9y=4-31
9y=-27
y=-27/9
y=-3
<u>Given</u>:
The length of DE is 8 cm and the measure of ∠ADE is 60°.
We need to determine the surface area of the pyramid.
<u>Length of AD:</u>
The length of AD is given by
Length of AD = 8 cm
<u>Slant height:</u>
The slant height EF can be determined using the trigonometric ratio.
Thus, we have;
Thus, the slant height EF is 4√3
<u>Surface area of the square pyramid:</u>
The surface area of the square pyramid can be determined using the formula,
Substituting the values, we have;
The exact form of the area of the square pyramid is
Substituting √3 = 1.732 in the above expression, we have;
Rounding off to one decimal place, we get;
Thus, the area of the square pyramid is 174.8 cm²
6x^2 is the answer. thanks for asking it.