Find the measure of an exterior angle of a decagon

1 answer:

6 0

$\bf \textit{sum of all exterior angles in a polygon}\\\\n\theta =360~~\begin{cases}n=\textit{number of}\\\qquad sides\\\theta =angle~in\\\qquad degrees\\[-0.5em]\hrulefill\\n=10\end{cases}\implies 10\theta =360\implies \theta =\cfrac{360}{10}\implies n=36$

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Is my answer right? I don’t really know this subject very well

melomori [17]

First let's review how to find the surface area of a rectangular prism. Since the opposite faces have the same area, we just need to find one of each pair of faces and multiply the result by 2.

One face in each pairs adds up to 6*4+2*4+2*6=24+8+12=44

Now we just need to multiply this by 2!

44*2=88 cm^2

I really hope my explanation helped, if there are any more question about this please ask me in the comments I will answer them.

5 0

2 years ago

What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to t

stealth61 [152]

Answer:

The volume of the cylinder is approximately 1570.8 cm³.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume Formula [Cylinder]:
$\displaystyle V = \pi r^2 h$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 5 cm

r = 10 cm

Step 2: Find Volume

[Volume Formula - Cylinder] Substitute in variables:
$\displaystyle V = \pi (10 \ \text{cm})^2 (5 \ \text{cm})$
[Order of Operations] Evaluate:
$\displaystyle V = 500 \pi \ \text{cm}^3$
Approximate:
$\displaystyle V \approx \boxed{ 1570.8 \ \text{cm}^3 }$