The measure of apothem is 1.75 cm.
The complete question is
The area of the regular octagon is 10.15 cm2.
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
<h3>What is an Octagon ?</h3>
A polygon with eight sides , eight angles and eight vertices is called an octagon.
If a is the Side of the octagon.
10.15 = 2(1+√2) a²
a² = 10.15 / [2×(1+1.414)]
a² = 2.10
a = 1.45 cm
Therefore the side = 1.45 cm
A = 8 × (a × h)/2
If we consider 8 equilateral triangles with
a = face of octagon
h = Apothem of octagon
10.15 = 8 × (1.45 × h)/2
h = 10.15 /4/ 1.45
h = 1.75 cm
Therefore the measure of apothem is 1.75 cm.
To know more about Octagon
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I don't think you need answer for that you already did it.
Answer:
Below
Step-by-step explanation:
● -7x + 5y = 35
Add 7x to both sides
● -7x +7x + 5y = 35+7x
● 5y = 7x + 35
Divide both sides by 5
● 5y/5 = (7x+35)/5
● y = 1.4x + 7
The graph of the function:
Answer:
34
Step-by-step explanation:
$1.25 = 125 cents.
$42 = 4200 cents
Tickets sold at 75 cents = x
Tickets sold at 125 cents = y
x + y = 40
75x + 125y = 4200
Multiply the first equation by 75
75x + 75y = 3000
75x + 125y = 4200
Subtract the the second equation from the first.
75x + 75y = 3000
- 75x + 125y = 4200
-------------------------------
0 - 150y = - 1200
Divide both sides by - 150
-150y/-150 = -1200/-150
y = 8
Substitute y = 8 into the first equation
x + y = 42
x + 8 = 42
x = 42 - 8
x = 34
34 tickets were sold for 75 cents
8 tickets were sold for $1.25
Answer:
x = 27 
Step-by-step explanation:
This angle is a right angle, meaning 90 degrees, as whenever it's a right angle, there's a small square on the angle which u can see at the bottom left, so:
x + 8 + 2x = 90
3x + 8 = 90
subtract 8 from both sides
3x = 82
divide by 3
x = 27 1/3
