This could get complicated. Please try to follow my steps carefully:
Begin by writing the equation to be solved: <u>12E - 4 = 0</u>
Add 4 to each side of the equation: 12E = 4
Divide each side by 12: E = 4/12 = 1/3 .
Answer:
The surface area of the given pyramid is 112
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = 
= 
= 16
Area of its base = 16 
Area of one of its triangular surface =
x base x height
=
x 4 x 12
= 2 x 12
= 24 
Area of all its four triangular surfaces = 4 x 24
= 96 
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112 
The surface area of the given pyramid is 112
.
Answer:
18 terms
Step-by-step explanation:
The first given sequence has first term a1=2 and common difference d=5. Its explicit formula is ...
an = 2 +5(n -1) = 5n -3
We want the n-th term of this sequence to be the same as the n-th term of the sequence defined by ...
an = 4n +15
We can find n that makes this true by setting the 'an' values equal:
an = an
5n -3 = 4n +15
n = 18 . . . . . . . . . . add 3-4n
The number of terms in each sequence is 18.
_____
<em>Additional comment</em>
The last term in each sequence is 87.