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.
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Answer:
1
Step-by-step explanation:
since the two numbers are the same up and down so the answer will be always 1
Answer:
q = 14
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Complementary Angles: Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>The 2 angles must add up to 90°.</em>
(4q - 5)° + 39° = 90°
<u>Step 2: Solve for </u><u><em>q</em></u>
- Combine like terms: 4q + 34 = 90
- Subtract 34 on both sides: 4q = 56
- Divide both sides by 4: q = 14