The situation describes a geometric sequence with first term as 1, and the common ratio of 8.
1st term = 1
2nd term = 1 x 8 = 8
3rd term = 8 x 8 = 64
4th term = 64 x 8 = 512
5th term = 512 x 8 = 4,096
6th term = 4,096 x 8 = 32,768
Answer:
x = 8
Step-by-step explanation:
1. Group all x terms on the left side of the equation
1/3· x+4=-2/3·x+12
Add 2/3x to both sides:
1/3x+4+2/3·x=-2/3x+12+2/3·x
Group like terms:
1/3·x+2/3·x+4=-2/3·x+12+2/3·x
Combine the fractions:
1+2/3·x+4=-2/3·x+12+2/3·x
Combine the numerators:
3/3·x+4=-2/3·x+12+2/3·x
Find the greatest common factor of the numerator and denominator:
1·3/1·3·x+4=-2/3·x+12+2/3·x
Factor out and cancel the greatest common factor:
1x+4=-2/3·x+12+2/3·x
Simplify the left side:
x+4=-2/3·x+12+2/3·x
Group like terms:
x+4=-2/3·x+2/3·x+12
Combine the fractions:
x+4=-2+2/3·x+12
Combine the numerators:
x+4=0/3·x+12
Reduce the zero numerator:
x+4=0x+12
Simplify the arithmetic:
x+4=12
2. Group all constants on the right side of the equation
Subtract 4 from both sides:
x+4-4=12-4
Simplify the arithmetic:
x=12-4
Simplify the arithmetic:
x=8
Answer:
No.
Step-by-step explanation:
Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.
Pythagorean theorem: a^2 + b^2 = c^2
a and b are both smaller than c.
So,
8^2 = 64.
13^2 = 169.
15^2 = 225.
64 + 169 = 233.
233 is not equal to 225.
Therefore, this is not a right triangle.
Answer:
0.5, 0.9, 1.3, 1.7, 2.1, 2.5, 2.9, 3.3, 3.7, 4.1
Now you can add them all
which is equal to 23
Step-by-step explanation:
Base is 12 feet square so 12 *12 = 144 square feet
each triangle has base of 12 feet and height of 8 feet
area of triangle = 1/2 x base x height = 1/2 x 12 x 8 = 48 square feet
48 x 4 triangles = 192 square feet
total: 192 + 144 = 336 square feet
