Answer: Total cost to make 12 pennants is $52.5.
Step-by-step explanation:
Since we have given that
There is a rectangle and a triangle.
Length of rectangle = 1 ft
Width of rectangle = 3 ft
So, Area of rectangle is given by

Base of triangle = 1 ft
Height of triangle = 1 ft
So, Area of triangle is given by

So, Total area of the pennants will be

Number of pennants = 12
Cost per square foot of pennant = $1.25
So, Total cost for 12 pennants is given by

Hence, Total cost to make 12 pennants is $52.5.
Answer:
90°, 270°
Step-by-step explanation:
2r sin(Ф/2) = c
2r sin (Ф/2) = √2r
divide both sides by 2r
sin (Ф/2) = √2r/2r
sin(Ф/2) = √2/2
From the unit circle sin is √2/2 at 45°, and 135°
so Ф/2 = 45
Ф=90°
and Ф/2 = 135
Ф= 270°
Simplify both sides of your equation.
Subtract 4 from both sides.
Multiply both sides by 2(-1).
m = -12
Answer:
Irrational numbers are not closed under addition.
Step-by-step explanation:
Irrational numbers are the numbers that cannot be expressed in the form of a fraction
. In other words we can say that irrational number,s decimal expantion does not cease to end.
The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.
This can be understood with the help of an example:
let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.
Hence, irrational numbers are not closed under addition.