Comment
What you are describing is a side of a square that the octagon is placed inside of. Every other side of the regular octagon touch the middle of the square's side. the other 4 sides of the octagon go at a diagonal of 45 degrees to the ends of the first set of sides. There is a diagram below to help you understand this description.
Formula
The stop Sign's line going from flat to flat is S
S = a + 2*a*sqrt(2)/2
a + 2*a*sqrt(2)/2 = 30
a + a*sqrt(2)
Solve
a + a*1.414 = 30
a + 1.414*a = 30
2.414 a = 30 Divide by 2.414
a = 30/2.414
a =
12.428 <<<<< Answer
Answer: The answer would be 44 millimeters.
Step-by-step explanation: A parallelogram has to sets of congruent sides. One set has two sides that are 9 millimeters and the other set has two sides that are 13 millimeters. 9+9 = 18, 13+13= 26 and 18+26= 44!
Answer:
x > -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-2x - 8 < 6
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 8 on both sides: -2x < 14
- [Division Property of Equality] Divide -2 on both sides: x > -7
Here we see that any value <em>x</em> greater than -7 would work as a solution to the inequality.
Answer:
b = 21/15
Step-by-step explanation:
0.6+15b+4=25.6
15b + 4.6 = 25.6
15b = 25.6 - 4.6
15b = 21
b = 21/15
Test:
0.6 + 15*21/15 + 4 = 25.6
06 + 21 + 4 = 25.6
Answer: the integers that is a Pythagorean triple and are the side lengths of a right triangle is
C. 9, 40, 41
Step-by-step explanation:
A Pythagorean triple is a set of three numbers which satisfy the Pythagoras theorem. The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Let us try each set of numbers.
A. 20,23,28
28^2 = 20^ + 23^2
784 = 400 + 529 = 929
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
B. 18, 26, 44
44^2 = 18^ + 26^2
1936 = 324 + 676 = 1000
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.
C. 9, 40, 41
41^2 = 9^ + 40^2
1681 = 81 + 1600 = 1681
Since both sides of the equation are equal, the set of numbers is a Pythagoras triple.
D. 8, 20, 32
32^2 = 20^ + 8^2
1024 = 400 + 64 = 464
Since both sides of the equation are not equal, the set of numbers is not a Pythagoras triple.