The area of a regular hexagon is
... A = (3√3)/2×s² . . . . . where s is the side length
Of course, the 6-sided figure will have a side length that is 1/6 of the perimeter.
... s = (48 in)/6 = 8 in
... A = (3√3)/2×(8 in)² = 96√3 in² . . . area of your regular hexagon
Answer:
1. 424
2.471
3.512
Step-by-step explanation:
1. 10×12+8×10+8×13+8×15
=120+80+104+120
=424
2. 5×24+9×24+9×15+9×15
=120+216+135
=471
3. 24×16+2×24+2×20+2×20
=384+48+40+40
=512
<u> ∑ k = 1 88 2.5 ( 1.2 ) k</u><u> is this series written in </u><u>sigma notation. </u>
What is the series written in sigma notation?
- A series can be represented in a compact form, called summation or sigma notation.
- The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .
- The expression is read as the sum of 4n as n goes from 1 to 6 .
Given:
2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87
If we look at the power it is always one less the term i.e., for first term the value of k=0.
So, the series in the form of summation can be written as
∑ k = 1 88 2.5 ( 1.2 ) k
Learn more about sigma notation
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Answer: B.) Find the difference between the upper and lower quartiles.
Step-by-step explanation: Edgen 2020
Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
