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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Answer:
9+(4)
Step-by-step explanation:
Answer:
174.50
Step-by-step explanation:
first order the numbers from least to greatest then find the middle digit. if there are two, add them together, then divide them by 2. if there's only one, that is your median.
Answer:
– 21x^3 y – 9x^2 y^2 e) is your answer
Step-by-step explanation:
Solve the following system for A and B:
{A = 7 x^2 + 3 x y
B = -3 x y
Express the system in matrix form:
(1 | 0
0 | 1)(A
B) = (7 x^2 + 3 x y
-3 x y)
Write the system in augmented matrix form and use Gaussian elimination:
(1 | 0 | 7 x^2 + 3 x y
0 | 1 | -3 x y)
Collect results:
Answer: {A = 7 x^2 + 3 x y , B = -3 x y
then we multiply the results (7 x^2 + 3 x y) ( -3 x y) = – 21x^3 y – 9x^2 y^2
Answer:
The measure of each side of the cube is
<h2>15 inches</h2>
Step-by-step explanation:
Since it's a cube all it's sides are equal
To find the length of each side we use the formula
Volume of a cube = l³
where l is the measure of one side
From the question
Volume = 3375 cubic inches
Substitute this value into the formula and solve for l
That's
<h3>
</h3>
Find the cube root of both sides
That's
<h3>
![\sqrt[3]{ {l}^{3} } = \sqrt[3]{3375}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bl%7D%5E%7B3%7D%20%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B3375%7D%20)
</h3>
We have the final answer as
<h3>l = 15 inches</h3>
Hope this helps you
