We must plugin values:
3(7)-4(0)=21, is CORRECT since 7•3 is 21 and -4•0 is 0
3(11)-4(3)=21 is CORRECT since 3•11=33 and -4•3=-12 so 33-12=21
3(-3)-4(3)=21 is INCORRECT since 3•-3 is -9 and -4•3 is -12, -9-12 is -21
3(-1)-4(-6)=21 is CORRECT since 3•-1 is -3 and -4•-6 is 24 and so 24-3=21
Answer:
The length of v is 6 inches
Step-by-step explanation:
Here, we want to calculate the length of v to the nearest inch
The best way to go about this is to use the sine rule
But before we proceed, we need the measure of angle V
Mathematically, since we have a triangle
W + U + V = 180
This is the sum of angles in a triangle
56 + 117 + V = 180
V = 180-56-117
V = 7 degrees
so we proceed to use sine rule to get the length of v
Mathematically;
v/Sin V = u/Sin U
Thus;
v/sin 7 = 44/sin 117
v = 44sin 7/sin 117
v = 6.018
This is approximately 6 inches
Answer:
Perimeter of given regular hexagon is <em>48.5 ft</em>.
Step-by-step explanation:
Let <em>ABCDEF</em> be the regular hexagon as shown in the attached figure.
<em>O</em> be the intersection point of the diagonals <em>EB</em>, <em>FC </em>and <em>AD</em>.
As per the property of regular hexagon, all the 6 triangles formed are equilateral triangles.
In other words,
are equilateral 
.
Area of an equilateral 
is defined as
:
Where <em>a </em>is the side of .
Area of hexagon = 
We are given that area of hexagon = 169.74 
Let <em>s </em>be the side of hexagon.
A regular Hexagon is made up of 6 equal sides, so
Perimeter of a regular hexagon = 
Perimeter = 
So, perimeter of given regular hexagon is 
.
Top angle = 180-112 = 68
Bottom angle = 180 - 126 = 54
Sum of angles in a triangle = 180 sooo
68+54+m=180
122+m=180
m=180-122
m=58
Therefore, angle m = 58
Answer:
mass is less than the red
speed is equal
energy is less than
Step-by-step explanation:
Hope this helps!
