Answer:
80 yd^2
Step-by-step explanation:
Since the formula for squares is s^2, we can use this to set up an equation, which is
s^2=400
If we square root this, we get
s=20
The perimeter formula for a square is 4s, so if we plug in, we end up with 80 yd^2
<em>*The word pentagon is a name given to a polygon that has 5 sides. So in this case, the question should have used the word polygon instead of pentagon.</em>
Sum of interior angles = (n - 2) x 180 where n is the number of sides.
The sum of the interior angles = 900
(n - 2) x 180 = 900
n - 2 = 900 ÷ 180
n - 2 = 5
n = 5 + 2
n = 7
Answer: This is a 7-sided polygon.
B: BC
The longest side of a triangle is the side that is across from the largest angle. Angle A is the largest angle and is across from side BC, so side BC is the longest side of triangle ABC
Answer:
Step-by-step explanation:
Answer:
Angle between the two vectors is 135°
u•v = -12
Step-by-step explanation:
Given two vectors u = (4,0) and v = (-3,-3).
To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;
u•v = |u||v|cos theta
cos theta = u•v/|u||v|
theta = arccos (u•v/|u||v|)
u•v = (4,0)•(-3,-3)
u•v = 4(-3)+0(-3)
u•v = -12
For |u| and |v|
|u| = √4²+0²
|u| = √16 = 4
|v| = √(-3)²+(-3)²
|v| = √9+9
|v| = √18
|v| = 3√2
|u||v| = 4×3√2 = 12√2
theta = arccos(-12/12√2)
theta = arccos(- 1/√2)
theta = -45°
Since cos is negative in the second quadrant, theta = 180-45°
theta = 135°
To get u•v using the formula u•v = |u||v|cos theta
Given |u||v| = 12√2 and theta = 135°
u•v = 12√2cos 135°
u•v = 12√2× -1/√2
u•v = -12√2/√2
u•v = -12
For the diagram of the vectors, find it in the attachment below.